Statistics - enriqueareyan.comEnrique Areyan's Page. Math and Computer Science resources, advance undergraduate and graduate level. My work both as a Teacher and Systems Software Developer.http://courses.enriqueareyan.com/math/statistics2020-01-12T03:42:49+00:00enriqueareyan.comenrique3@gmail.comJoomla! - Open Source Content ManagementIntroduction to Statistical Theory2015-05-25T23:26:32+00:002015-05-25T23:26:32+00:00http://courses.enriqueareyan.com/math/statistics/introduction-to-statistical-theorySuper Userenrique3@gmail.com<p style="text-align: justify;">This is a graduate level course being offered at the <a href="http://www.stat.indiana.edu/" target="_blank">Department of Statistics</a> of <a href="http://www.indiana.edu" target="_blank">Indiana University</a>. I took this course on Spring 2014 with <a href="http://mypage.iu.edu/~mtrosset/" target="_blank">Prof. Michael W. Trosset</a>. The textbook we used was <a href="http://www.amazon.com/gp/product/0521548667/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0521548667&linkCode=as2&tag=enriqueacom-20&linkId=TR2IFZNGBB2KNNLL" target="_blank">Essentials of Statistical Inference (Cambridge Series in Statistical and Probabilistic Mathematics) by Young and Smith</a>. This is an introductory but advanced textbook in statistical theory. The following is a compilation of my solutions to the assignments given in class. Some assignments are from the textbooks others are not.</p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW1-Solutions.pdf" target="_blank">Assignment 1</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW2-Solutions.pdf" target="_blank">Assignment 2</a> (with solutions) [<a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Code/HW2.zip" target="_blank">Code</a> - you also need the <a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Code/StatisticalFramework.zip" target="_blank">Statistical Framework</a> - all written in <a href="http://php.net/" target="_blank">PhP</a>)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW3-Solutions.pdf" target="_blank">Assignment 3</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW4-Solutions.pdf" target="_blank">Assignment 4</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW5-Solutions.pdf" target="_blank">Assignment 5</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW5Bonus-Solutions.pdf" target="_blank">Assignment 5 Bonus</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW6-Solutions.pdf" target="_blank">Assignment 6</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW7-Solutions.pdf" target="_blank">Assignment 7</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW8-Solutions.pdf" target="_blank">Assignment 8</a> (with solutions)</li>
</ul>
<h2>Exams</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Exams/MidTerm.pdf" target="_blank">MidTerm</a> - <a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Exams/MidTerm-Solutions.pdf" target="_blank">[Solutions]</a></li>
</ul>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Exams/MidTermInformationSheet.pdf" target="_blank">MidTerm Information Sheet</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Exams/InformationSheetFinalExam.pdf" target="_blank">Final Exam Information Sheet</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Resources/DecisionTheoryFramework.pdf" target="_blank">Decision Theory Framework</a> (taken from Chair of Mathematical Statistics held by <a href="http://smat.epfl.ch/" target="_blank">Victor Panaretos</a> at Ecole Polytechnique Federale de Lausanne)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Resources/DecisionRules.pdf" target="_blank">Decision Rules</a> (prepared by <a style="font-size: 12.1599998474121px; line-height: 15.8079996109009px; text-align: justify;" href="http://mypage.iu.edu/~mtrosset/" target="_blank">Prof. Michael W. Trosset</a>)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Resources/LikelihoodPrinciple.pdf" target="_blank">Likelihood Principle</a> (material from <a title="Prof. Brani Vidakovic's website" href="http://www2.isye.gatech.edu/~brani/" target="_blank">http://www2.isye.gatech.edu/~brani/</a>)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Resources/TheoreticSetup.pdf" target="_blank">Theoretic Setup</a> <span style="font-size: 12.1599998474121px; line-height: 15.8079996109009px;">(material from </span><a title="Prof. Brani Vidakovic's website" href="http://www2.isye.gatech.edu/~brani/" target="_blank">http://www2.isye.gatech.edu/~brani/</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Resources/GammaDistribution.pdf" target="_blank">Gamma Distribution</a></li>
<li>The following are Papers relevant (and very interesting) to the subject of statistics and statistical theory:
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Resources/TheEarthIsRound.pdf" target="_blank">The Earth is Round (p<.05)</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S620 Intrduction to Statistical Theory/Resources/BayesDoctrineOfChances.pdf" target="_blank">An Essay towards solving a Problem in the Doctrine of Chances. By the late Rev. Mr. Bayes</a></li>
</ul>
</li>
</ul><p style="text-align: justify;">This is a graduate level course being offered at the <a href="http://www.stat.indiana.edu/" target="_blank">Department of Statistics</a> of <a href="http://www.indiana.edu" target="_blank">Indiana University</a>. I took this course on Spring 2014 with <a href="http://mypage.iu.edu/~mtrosset/" target="_blank">Prof. Michael W. Trosset</a>. The textbook we used was <a href="http://www.amazon.com/gp/product/0521548667/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0521548667&linkCode=as2&tag=enriqueacom-20&linkId=TR2IFZNGBB2KNNLL" target="_blank">Essentials of Statistical Inference (Cambridge Series in Statistical and Probabilistic Mathematics) by Young and Smith</a>. This is an introductory but advanced textbook in statistical theory. The following is a compilation of my solutions to the assignments given in class. Some assignments are from the textbooks others are not.</p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW1-Solutions.pdf" target="_blank">Assignment 1</a> (with solutions)</li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW2-Solutions.pdf" target="_blank">Assignment 2</a> (with solutions) [<a href="files/math/S620 Intrduction to Statistical Theory/Code/HW2.zip" target="_blank">Code</a> - you also need the <a href="files/math/S620 Intrduction to Statistical Theory/Code/StatisticalFramework.zip" target="_blank">Statistical Framework</a> - all written in <a href="http://php.net/" target="_blank">PhP</a>)</li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW3-Solutions.pdf" target="_blank">Assignment 3</a> (with solutions)</li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW4-Solutions.pdf" target="_blank">Assignment 4</a> (with solutions)</li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW5-Solutions.pdf" target="_blank">Assignment 5</a> (with solutions)</li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW5Bonus-Solutions.pdf" target="_blank">Assignment 5 Bonus</a> (with solutions)</li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW6-Solutions.pdf" target="_blank">Assignment 6</a> (with solutions)</li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW7-Solutions.pdf" target="_blank">Assignment 7</a> (with solutions)</li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Assignments/StatisticalTheory-HW8-Solutions.pdf" target="_blank">Assignment 8</a> (with solutions)</li>
</ul>
<h2>Exams</h2>
<hr />
<ul>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Exams/MidTerm.pdf" target="_blank">MidTerm</a> - <a href="files/math/S620 Intrduction to Statistical Theory/Exams/MidTerm-Solutions.pdf" target="_blank">[Solutions]</a></li>
</ul>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Exams/MidTermInformationSheet.pdf" target="_blank">MidTerm Information Sheet</a></li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Exams/InformationSheetFinalExam.pdf" target="_blank">Final Exam Information Sheet</a></li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Resources/DecisionTheoryFramework.pdf" target="_blank">Decision Theory Framework</a> (taken from Chair of Mathematical Statistics held by <a href="http://smat.epfl.ch/" target="_blank">Victor Panaretos</a> at Ecole Polytechnique Federale de Lausanne)</li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Resources/DecisionRules.pdf" target="_blank">Decision Rules</a> (prepared by <a style="font-size: 12.1599998474121px; line-height: 15.8079996109009px; text-align: justify;" href="http://mypage.iu.edu/~mtrosset/" target="_blank">Prof. Michael W. Trosset</a>)</li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Resources/LikelihoodPrinciple.pdf" target="_blank">Likelihood Principle</a> (material from <a title="Prof. Brani Vidakovic's website" href="http://www2.isye.gatech.edu/~brani/" target="_blank">http://www2.isye.gatech.edu/~brani/</a>)</li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Resources/TheoreticSetup.pdf" target="_blank">Theoretic Setup</a> <span style="font-size: 12.1599998474121px; line-height: 15.8079996109009px;">(material from </span><a title="Prof. Brani Vidakovic's website" href="http://www2.isye.gatech.edu/~brani/" target="_blank">http://www2.isye.gatech.edu/~brani/</a></li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Resources/GammaDistribution.pdf" target="_blank">Gamma Distribution</a></li>
<li>The following are Papers relevant (and very interesting) to the subject of statistics and statistical theory:
<ul>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Resources/TheEarthIsRound.pdf" target="_blank">The Earth is Round (p<.05)</a></li>
<li><a href="files/math/S620 Intrduction to Statistical Theory/Resources/BayesDoctrineOfChances.pdf" target="_blank">An Essay towards solving a Problem in the Doctrine of Chances. By the late Rev. Mr. Bayes</a></li>
</ul>
</li>
</ul>Introduction To Statistics2015-05-24T04:36:57+00:002015-05-24T04:36:57+00:00http://courses.enriqueareyan.com/math/statistics/introduction-to-statisticsSuper Userenrique3@gmail.com<p style="text-align: justify;">This is a graduate level course being offered at the <a href="http://www.stat.indiana.edu/" target="_blank">Department of Statistics</a> of <a href="http://www.indiana.edu" target="_blank">Indiana University</a>. I took this course on Spring 2012 with <a href="http://mypage.iu.edu/~mtrosset/" target="_blank">Prof. Michael W. Trosset</a> The following is a compilation of my solutions to the assignments given in class. All assignments are from the Prof. Michael Trosset's book <a href="http://www.amazon.com/gp/product/1584889470/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=1584889470&linkCode=as2&tag=enriqueacom-20&linkId=VHMEB44EPC36WU7M" target="_blank">An Introduction to Statistical Inference and Its Applications with R (Chapman & Hall/CRC Texts in Statistical Science)</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=1584889470" alt="" width="1" height="1" border="0" />, (you can also check the <a href="http://mypage.iu.edu/~mtrosset/StatInfeR.html" target="_blank">book's webiste</a>) which I highly recommend for beginners in Statistics and Probability.</p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-1.pdf" target="_blank">Assignment 1 solution</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-2.pdf" target="_blank">Assignment 2 solution</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-3.pdf" target="_blank">Assignment 3 solution</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-4.pdf" target="_blank">Assignment 4 solution</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-5.pdf" target="_blank">Assignment 5 solution</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-6.pdf" target="_blank">Assignment 6 solution</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-7.pdf" target="_blank">Assignment 7 solution</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-8.pdf" target="_blank">Assignment 8 solution</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-9.pdf" target="_blank">Assignment 9 solution</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-10.pdf" target="_blank">Assignment 10 solution</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-11.pdf" target="_blank">Assignment 11 solution</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-12.pdf" target="_blank">Assignment 12 solution</a></li>
</ul>
<h2>R Code</h2>
<hr />
<p style="text-align: justify;">The following is a compilation of resources I found useful while taking the course and thinking about this subject. In this course we relied heavily in the use of <a href="http://www.r-project.org/" target="_blank">R: a free software environment for statistical computing and graphics</a>. I wrote some small programs in R:</p>
<ol>
<li><a href="http://courses.enriqueareyan.com/files/math/S520 Introduction to Statistics/R/urnmodel.R" target="_blank">Urn model</a> - a simple urn model with replacement. See also: <a href="http://stat.ethz.ch/R-manual/R-patched/library/base/html/sample.html" target="_blank">sample function</a>.</li>
</ol><p style="text-align: justify;">This is a graduate level course being offered at the <a href="http://www.stat.indiana.edu/" target="_blank">Department of Statistics</a> of <a href="http://www.indiana.edu" target="_blank">Indiana University</a>. I took this course on Spring 2012 with <a href="http://mypage.iu.edu/~mtrosset/" target="_blank">Prof. Michael W. Trosset</a> The following is a compilation of my solutions to the assignments given in class. All assignments are from the Prof. Michael Trosset's book <a href="http://www.amazon.com/gp/product/1584889470/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=1584889470&linkCode=as2&tag=enriqueacom-20&linkId=VHMEB44EPC36WU7M" target="_blank">An Introduction to Statistical Inference and Its Applications with R (Chapman & Hall/CRC Texts in Statistical Science)</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=1584889470" alt="" width="1" height="1" border="0" />, (you can also check the <a href="http://mypage.iu.edu/~mtrosset/StatInfeR.html" target="_blank">book's webiste</a>) which I highly recommend for beginners in Statistics and Probability.</p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-1.pdf" target="_blank">Assignment 1 solution</a></li>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-2.pdf" target="_blank">Assignment 2 solution</a></li>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-3.pdf" target="_blank">Assignment 3 solution</a></li>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-4.pdf" target="_blank">Assignment 4 solution</a></li>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-5.pdf" target="_blank">Assignment 5 solution</a></li>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-6.pdf" target="_blank">Assignment 6 solution</a></li>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-7.pdf" target="_blank">Assignment 7 solution</a></li>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-8.pdf" target="_blank">Assignment 8 solution</a></li>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-9.pdf" target="_blank">Assignment 9 solution</a></li>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-10.pdf" target="_blank">Assignment 10 solution</a></li>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-11.pdf" target="_blank">Assignment 11 solution</a></li>
<li><a href="files/math/S520 Introduction to Statistics/Assignments/IntroductionToStatistics-Assignment-12.pdf" target="_blank">Assignment 12 solution</a></li>
</ul>
<h2>R Code</h2>
<hr />
<p style="text-align: justify;">The following is a compilation of resources I found useful while taking the course and thinking about this subject. In this course we relied heavily in the use of <a href="http://www.r-project.org/" target="_blank">R: a free software environment for statistical computing and graphics</a>. I wrote some small programs in R:</p>
<ol>
<li><a href="files/math/S520 Introduction to Statistics/R/urnmodel.R" target="_blank">Urn model</a> - a simple urn model with replacement. See also: <a href="http://stat.ethz.ch/R-manual/R-patched/library/base/html/sample.html" target="_blank">sample function</a>.</li>
</ol>