http://wiki.stat.ucla.edu/socr/index.php?title=Probability_and_statistics_EBook&feed=atom&action=historyProbability and statistics EBook - Revision history2024-03-19T11:54:04ZRevision history for this page on the wikiMediaWiki 1.15.1http://wiki.stat.ucla.edu/socr/index.php?title=Probability_and_statistics_EBook&diff=12414&oldid=prevIvoDinov at 15:39, 3 September 20142014-09-03T15:39:31Z<p></p>
<table style="background-color: white; color:black;">
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr valign='top'>
<td colspan='2' style="background-color: white; color:black;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black;">Revision as of 15:39, 3 September 2014</td>
</tr>
<tr><td colspan="2" class="diff-lineno">Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>This is a General Statistics Curriculum E-Book, which includes Advanced-Placement (AP) materials.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[SOCR_Books| SOCR Books]]: </ins>This is a General Statistics Curriculum E-Book, which includes Advanced-Placement (AP) materials.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>[[Image:EBook_Logo.jpg|150px|thumbnail|right| [[EBook]] ]]</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>[[Image:EBook_Logo.jpg|150px|thumbnail|right| [[EBook]] ]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<!-- diff generator: internal 2024-03-19 11:54:04 -->
</table>IvoDinovhttp://wiki.stat.ucla.edu/socr/index.php?title=Probability_and_statistics_EBook&diff=11480&oldid=prevIvoDinov: /* Chapter VI: Relations Between Distributions */2012-02-15T16:29:23Z<p><span class="autocomment">Chapter VI: Relations Between Distributions</span></p>
<table style="background-color: white; color:black;">
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr valign='top'>
<td colspan='2' style="background-color: white; color:black;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black;">Revision as of 16:29, 15 February 2012</td>
</tr>
<tr><td colspan="2" class="diff-lineno">Line 109:</td>
<td colspan="2" class="diff-lineno">Line 109:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter VI: Relations Between Distributions==</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter VI: Relations Between Distributions==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>In this chapter, we will explore the relationships between different distributions. This knowledge will help us to compute difficult probabilities using reasonable approximations and identify appropriate probability models, graphical and statistical analysis tools for data interpretation.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>In this chapter, we will explore the relationships between different distributions. This knowledge will help us to compute difficult probabilities using reasonable approximations and identify appropriate probability models, graphical and statistical analysis tools for data interpretation.</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>The complete list of all [[About_pages_for_SOCR_Distributions |SOCR Distributions is available here]] and the [http://www.Distributome.org Distributome <del class="diffchange diffchange-inline">applet</del>] provides an interactive graphical interface for exploring the relations between different distributions.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>The complete list of all [[About_pages_for_SOCR_Distributions |SOCR Distributions is available here]] and the [http://www.Distributome.org <ins class="diffchange diffchange-inline">Probability </ins>Distributome <ins class="diffchange diffchange-inline">project</ins>] provides an interactive graphical interface for exploring the relations between different distributions.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Limits_CLT |The Central Limit Theorem]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Limits_CLT |The Central Limit Theorem]]===</div></td></tr>
<!-- diff generator: internal 2024-03-19 11:54:04 -->
</table>IvoDinovhttp://wiki.stat.ucla.edu/socr/index.php?title=Probability_and_statistics_EBook&diff=11409&oldid=prevIvoDinov: /* Chapter XV: Other Common Continuous Distributions */2012-01-03T17:55:36Z<p><span class="autocomment">Chapter XV: Other Common Continuous Distributions</span></p>
<table style="background-color: white; color:black;">
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr valign='top'>
<td colspan='2' style="background-color: white; color:black;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black;">Revision as of 17:55, 3 January 2012</td>
</tr>
<tr><td colspan="2" class="diff-lineno">Line 256:</td>
<td colspan="2" class="diff-lineno">Line 256:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter XV: Other Common Continuous Distributions==</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter XV: Other Common Continuous Distributions==</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>Earlier we discussed some classes of commonly used [[AP_Statistics_Curriculum_2007#Chapter IV:_Probability_Distributions |Discrete]] and [[AP_Statistics_Curriculum_2007#Chapter_V:_Normal_Probability_Distribution |Continuous]] distributions. Below are some continuous distributions with broad range of applications. The complete list of all [[About_pages_for_SOCR_Distributions |SOCR Distributions is available here]].</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>Earlier we discussed some classes of commonly used [[AP_Statistics_Curriculum_2007#Chapter IV:_Probability_Distributions |Discrete]] and [[AP_Statistics_Curriculum_2007#Chapter_V:_Normal_Probability_Distribution |Continuous]] distributions. Below are some continuous distributions with broad range of applications. The complete list of all [[About_pages_for_SOCR_Distributions |SOCR Distributions is available here]]<ins class="diffchange diffchange-inline">. The [http://www.Distributome.org Probability Distributome Project] provides an interactive navigator for traversal, discovery and exploration of probability distribution properties and interrelations</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Gamma| Gamma Distribution]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Gamma| Gamma Distribution]]===</div></td></tr>
<tr><td colspan="2" class="diff-lineno">Line 289:</td>
<td colspan="2" class="diff-lineno">Line 289:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Uniform| Uniform Distribution]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Uniform| Uniform Distribution]]===</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>In the Continuous Uniform distribution, all intervals of the same length are equally probable. In the Discrete Uniform distribution, there are n equally spaced values, each of which have the same 1/n probability of being observed. </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>In the Continuous Uniform distribution, all intervals of the same length are equally probable. In the Discrete Uniform distribution, there are n equally spaced values, each of which have the same 1/n probability of being observed.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==[[AP_Statistics_Curriculum_2007_UnderDevelopment | Additional EBook Chapters (under Development)]]==</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==[[AP_Statistics_Curriculum_2007_UnderDevelopment | Additional EBook Chapters (under Development)]]==</div></td></tr>
<!-- diff generator: internal 2024-03-19 11:54:04 -->
</table>IvoDinovhttp://wiki.stat.ucla.edu/socr/index.php?title=Probability_and_statistics_EBook&diff=11408&oldid=prevIvoDinov: /* Some Other Common Distributions */2012-01-03T17:53:35Z<p><span class="autocomment">Some Other Common Distributions</span></p>
<table style="background-color: white; color:black;">
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr valign='top'>
<td colspan='2' style="background-color: white; color:black;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black;">Revision as of 17:53, 3 January 2012</td>
</tr>
<tr><td colspan="2" class="diff-lineno">Line 241:</td>
<td colspan="2" class="diff-lineno">Line 241:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Bayesian_Other | Some Other Common Distributions]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Bayesian_Other | Some Other Common Distributions]]===</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>This section explains the binomial, Poisson, and uniform distributions in terms of Bayesian Inference (also [[Probability_and_statistics_EBook#Chapter_XV:_Other_Common_Continuous_Distributions|see the chapter on other common distributions]).</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>This section explains the binomial, Poisson, and uniform distributions in terms of Bayesian Inference (also [[Probability_and_statistics_EBook#Chapter_XV:_Other_Common_Continuous_Distributions|see the chapter on other common distributions<ins class="diffchange diffchange-inline">]</ins>]).</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Bayesian_Hypothesis | Hypothesis Testing]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Bayesian_Hypothesis | Hypothesis Testing]]===</div></td></tr>
<!-- diff generator: internal 2024-03-19 11:54:04 -->
</table>IvoDinovhttp://wiki.stat.ucla.edu/socr/index.php?title=Probability_and_statistics_EBook&diff=11407&oldid=prevIvoDinov: /* Some Other Common Distributions */2012-01-03T17:53:25Z<p><span class="autocomment">Some Other Common Distributions</span></p>
<table style="background-color: white; color:black;">
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr valign='top'>
<td colspan='2' style="background-color: white; color:black;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black;">Revision as of 17:53, 3 January 2012</td>
</tr>
<tr><td colspan="2" class="diff-lineno">Line 241:</td>
<td colspan="2" class="diff-lineno">Line 241:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Bayesian_Other | Some Other Common Distributions]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Bayesian_Other | Some Other Common Distributions]]===</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>This section explains the binomial, <del class="diffchange diffchange-inline">poisson</del>, and uniform distributions in terms of Bayesian Inference.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>This section explains the binomial, <ins class="diffchange diffchange-inline">Poisson</ins>, and uniform distributions in terms of Bayesian Inference <ins class="diffchange diffchange-inline">(also [[Probability_and_statistics_EBook#Chapter_XV:_Other_Common_Continuous_Distributions|see the chapter on other common distributions])</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Bayesian_Hypothesis | Hypothesis Testing]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Bayesian_Hypothesis | Hypothesis Testing]]===</div></td></tr>
<!-- diff generator: internal 2024-03-19 11:54:04 -->
</table>IvoDinovhttp://wiki.stat.ucla.edu/socr/index.php?title=Probability_and_statistics_EBook&diff=11406&oldid=prevIvoDinov: typo2012-01-03T17:49:32Z<p>typo</p>
<table style="background-color: white; color:black;">
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr valign='top'>
<td colspan='2' style="background-color: white; color:black;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black;">Revision as of 17:49, 3 January 2012</td>
</tr>
<tr><td colspan="2" class="diff-lineno">Line 14:</td>
<td colspan="2" class="diff-lineno">Line 14:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[EBook_copyright | Copyrights]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[EBook_copyright | Copyrights]]===</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>The Probability and Statistics EBook is <del class="diffchange diffchange-inline">on </del>freely and openly accessible electronic book developed by SOCR and the general community.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>The Probability and Statistics EBook is <ins class="diffchange diffchange-inline">a </ins>freely and openly accessible electronic book developed by SOCR and the general community.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter I: Introduction to Statistics==</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter I: Introduction to Statistics==</div></td></tr>
<!-- diff generator: internal 2024-03-19 11:54:04 -->
</table>IvoDinovhttp://wiki.stat.ucla.edu/socr/index.php?title=Probability_and_statistics_EBook&diff=11213&oldid=prevIvoDinov: /* Chapter IV: Probability Distributions */2011-07-23T23:22:59Z<p><span class="autocomment">Chapter IV: Probability Distributions</span></p>
<table style="background-color: white; color:black;">
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr valign='top'>
<td colspan='2' style="background-color: white; color:black;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black;">Revision as of 23:22, 23 July 2011</td>
</tr>
<tr><td colspan="2" class="diff-lineno">Line 72:</td>
<td colspan="2" class="diff-lineno">Line 72:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter IV: Probability Distributions==</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter IV: Probability Distributions==</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>There are two basic types of processes that we observe in nature - '''Discrete''' and '''Continuous'''. We begin by discussing several important discrete random processes, emphasizing the different distributions, expectations, variances and applications. In the [[AP_Statistics_Curriculum_2007#Chapter_V:_Normal_Probability_Distribution | next chapter]], we will discuss their continuous counterparts and [[Probability_and_statistics_EBook#Chapter_XV:_Other_Common_Continuous_Distributions|other continuous distributions are discussed <del class="diffchange diffchange-inline">at </del>a later chapter]]. The complete list of all [[About_pages_for_SOCR_Distributions |SOCR Distributions is available here]].</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>There are two basic types of processes that we observe in nature - '''Discrete''' and '''Continuous'''. We begin by discussing several important discrete random processes, emphasizing the different distributions, expectations, variances and applications. In the [[AP_Statistics_Curriculum_2007#Chapter_V:_Normal_Probability_Distribution | next chapter]], we will discuss their continuous counterparts and [[Probability_and_statistics_EBook#Chapter_XV:_Other_Common_Continuous_Distributions|other continuous distributions are discussed <ins class="diffchange diffchange-inline">in </ins>a later chapter]]. The complete list of all [[About_pages_for_SOCR_Distributions |SOCR Distributions is available here]].</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Distrib_RV | Random Variables]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Distrib_RV | Random Variables]]===</div></td></tr>
<!-- diff generator: internal 2024-03-19 11:54:04 -->
</table>IvoDinovhttp://wiki.stat.ucla.edu/socr/index.php?title=Probability_and_statistics_EBook&diff=11212&oldid=prevIvoDinov: /* Chapter V: Normal Probability Distribution */2011-07-23T23:22:42Z<p><span class="autocomment">Chapter V: Normal Probability Distribution</span></p>
<table style="background-color: white; color:black;">
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr valign='top'>
<td colspan='2' style="background-color: white; color:black;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black;">Revision as of 23:22, 23 July 2011</td>
</tr>
<tr><td colspan="2" class="diff-lineno">Line 93:</td>
<td colspan="2" class="diff-lineno">Line 93:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter V: Normal Probability Distribution==</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter V: Normal Probability Distribution==</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>The Normal Distribution is perhaps the most important model for studying quantitative phenomena in the natural and behavioral sciences - this is due to the [[AP_Statistics_Curriculum_2007_Limits_CLT | Central Limit Theorem]]. Many numerical measurements (e.g., weight, time, etc.) can be well approximated by the normal distribution. </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>The Normal Distribution is perhaps the most important model for studying quantitative phenomena in the natural and behavioral sciences - this is due to the [[AP_Statistics_Curriculum_2007_Limits_CLT | Central Limit Theorem]]. Many numerical measurements (e.g., weight, time, etc.) can be well approximated by the normal distribution<ins class="diffchange diffchange-inline">. [[Probability_and_statistics_EBook#Chapter_XV:_Other_Common_Continuous_Distributions|Other commonly used continuous distributions are discussed in a later chapter]]</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Normal_Std |The Standard Normal Distribution]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Normal_Std |The Standard Normal Distribution]]===</div></td></tr>
<!-- diff generator: internal 2024-03-19 11:54:04 -->
</table>IvoDinovhttp://wiki.stat.ucla.edu/socr/index.php?title=Probability_and_statistics_EBook&diff=11211&oldid=prevIvoDinov: /* Chapter IV: Probability Distributions */2011-07-23T23:21:56Z<p><span class="autocomment">Chapter IV: Probability Distributions</span></p>
<table style="background-color: white; color:black;">
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr valign='top'>
<td colspan='2' style="background-color: white; color:black;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black;">Revision as of 23:21, 23 July 2011</td>
</tr>
<tr><td colspan="2" class="diff-lineno">Line 72:</td>
<td colspan="2" class="diff-lineno">Line 72:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter IV: Probability Distributions==</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Chapter IV: Probability Distributions==</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>There are two basic types of processes that we observe in nature - '''Discrete''' and '''Continuous'''. We begin by discussing several important discrete random processes, emphasizing the different distributions, expectations, variances and applications. In the [[AP_Statistics_Curriculum_2007#Chapter_V:_Normal_Probability_Distribution | next chapter]], we will discuss their continuous counterparts. The complete list of all [[About_pages_for_SOCR_Distributions |SOCR Distributions is available here]].</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>There are two basic types of processes that we observe in nature - '''Discrete''' and '''Continuous'''. We begin by discussing several important discrete random processes, emphasizing the different distributions, expectations, variances and applications. In the [[AP_Statistics_Curriculum_2007#Chapter_V:_Normal_Probability_Distribution | next chapter]], we will discuss their continuous counterparts <ins class="diffchange diffchange-inline">and [[Probability_and_statistics_EBook#Chapter_XV:_Other_Common_Continuous_Distributions|other continuous distributions are discussed at a later chapter]]</ins>. The complete list of all [[About_pages_for_SOCR_Distributions |SOCR Distributions is available here]].</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Distrib_RV | Random Variables]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Distrib_RV | Random Variables]]===</div></td></tr>
<!-- diff generator: internal 2024-03-19 11:54:04 -->
</table>IvoDinovhttp://wiki.stat.ucla.edu/socr/index.php?title=Probability_and_statistics_EBook&diff=11210&oldid=prevIvoDinov: entered a new Chapter: Chapter XV: Other Common Continuous Distributions2011-07-23T23:20:03Z<p>entered a new Chapter: Chapter XV: Other Common Continuous Distributions</p>
<table style="background-color: white; color:black;">
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr valign='top'>
<td colspan='2' style="background-color: white; color:black;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black;">Revision as of 23:20, 23 July 2011</td>
</tr>
<tr><td colspan="2" class="diff-lineno">Line 255:</td>
<td colspan="2" class="diff-lineno">Line 255:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Topics covered will include Monte Carlo Methods, Markov Chains, the EM Algorithm, and the Gibbs Sampler.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Topics covered will include Monte Carlo Methods, Markov Chains, the EM Algorithm, and the Gibbs Sampler.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>==[[<del class="diffchange diffchange-inline">AP_Statistics_Curriculum_2007_UnderDevelopment </del>| <del class="diffchange diffchange-inline">Additional EBook Chapters (under Development)</del>]]<del class="diffchange diffchange-inline">==</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>==<ins class="diffchange diffchange-inline">Chapter XV: Other Common Continuous Distributions==</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">Earlier we discussed some classes of commonly used </ins>[[<ins class="diffchange diffchange-inline">AP_Statistics_Curriculum_2007#Chapter IV:_Probability_Distributions </ins>|<ins class="diffchange diffchange-inline">Discrete</ins>]] <ins class="diffchange diffchange-inline">and [[AP_Statistics_Curriculum_2007#Chapter_V:_Normal_Probability_Distribution |Continuous]] distributions. Below are some continuous distributions with broad range of applications. The complete list of all [[About_pages_for_SOCR_Distributions |SOCR Distributions is available here]].</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Gamma| Gamma Distribution]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Gamma| Gamma Distribution]]===</div></td></tr>
<tr><td colspan="2" class="diff-lineno">Line 289:</td>
<td colspan="2" class="diff-lineno">Line 290:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Uniform| Uniform Distribution]]===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>===[[AP_Statistics_Curriculum_2007_Uniform| Uniform Distribution]]===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>In the Continuous Uniform distribution, all intervals of the same length are equally probable. In the Discrete Uniform distribution, there are n equally spaced values, each of which have the same 1/n probability of being observed. </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>In the Continuous Uniform distribution, all intervals of the same length are equally probable. In the Discrete Uniform distribution, there are n equally spaced values, each of which have the same 1/n probability of being observed. </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">==[[AP_Statistics_Curriculum_2007_UnderDevelopment | Additional EBook Chapters (under Development)]]==</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><hr></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><hr></div></td></tr>
<!-- diff generator: internal 2024-03-19 11:54:04 -->
</table>IvoDinov