Statistics

Introduction to Statistical Theory

This is a graduate level course being offered at the Department of Statistics of Indiana University. I took this course on Spring 2014 with Prof. Michael W. Trosset. The textbook we used was Essentials of Statistical Inference (Cambridge Series in Statistical and Probabilistic Mathematics) by Young and Smith. 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.

Assignments

• Assignment 1 (with solutions)
• Assignment 2 (with solutions) [Code - you also need the Statistical Framework - all written in PhP)
• Assignment 3 (with solutions)
• Assignment 4 (with solutions)
• Assignment 5 (with solutions)
• Assignment 5 Bonus (with solutions)
• Assignment 6 (with solutions)
• Assignment 7 (with solutions)
• Assignment 8 (with solutions)

Exams

• MidTerm - [Solutions]

Resources

• MidTerm Information Sheet
• Final Exam Information Sheet
• Decision Theory Framework (taken from Chair of Mathematical Statistics held by Victor Panaretos at Ecole Polytechnique Federale de Lausanne)
• Decision Rules (prepared by Prof. Michael W. Trosset)
• Likelihood Principle (material from http://www2.isye.gatech.edu/~brani/)
• Theoretic Setup (material from http://www2.isye.gatech.edu/~brani/
• Gamma Distribution
• The following are Papers relevant (and very interesting) to the subject of statistics and statistical theory:
  • The Earth is Round (p<.05)
  • An Essay towards solving a Problem in the Doctrine of Chances. By the late Rev. Mr. Bayes

Introduction To Statistics

This is a graduate level course being offered at the Department of Statistics of Indiana University. I took this course on Spring 2012 with Prof. Michael W. Trosset The following is a compilation of my solutions to the assignments given in class. All assignments are from the Prof. Michael Trosset's book An Introduction to Statistical Inference and Its Applications with R (Chapman & Hall/CRC Texts in Statistical Science), (you can also check the book's webiste) which I highly recommend for beginners in Statistics and Probability.

Assignments

• Assignment 1 solution
• Assignment 2 solution
• Assignment 3 solution
• Assignment 4 solution
• Assignment 5 solution
• Assignment 6 solution
• Assignment 7 solution
• Assignment 8 solution
• Assignment 9 solution
• Assignment 10 solution
• Assignment 11 solution
• Assignment 12 solution

R Code

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 R: a free software environment for statistical computing and graphics. I wrote some small programs in R:

1. Urn model - a simple urn model with replacement. See also: sample function.