Mathematical Statistics with Resampling and R
This book bridges the latest software applications with thebenefits of modern resampling techniques
Resampling helps students understand the meaning of samplingdistributions, sampling variability, P-values, hypothesis tests,and confidence intervals. This groundbreaking book shows how toapply modern resampling techniques to mathematical statistics.Extensively class-tested to ensure an accessible presentation,Mathematical Statistics with Resampling and R utilizes thepowerful and flexible computer language R to underscore thesignificance and benefits of modern resampling techniques.
The book begins by introducing permutation tests and bootstrapmethods, motivating classical inference methods. Striking a balancebetween theory, computing, and applications, the authors exploreadditional topics such as:
Throughout the book, case studies on diverse subjects such asflight delays, birth weights of babies, and telephone companyrepair times illustrate the relevance of the real-worldapplications of the discussed material. Key definitions andtheorems of important probability distributions are collected atthe end of the book, and a related website is also available,featuring additional material including data sets, R scripts, andhelpful teaching hints.
Mathematical Statistics with Resampling and R is anexcellent book for courses on mathematical statistics at theupper-undergraduate and graduate levels. It also serves as avaluable reference for applied statisticians working in the areasof business, economics, biostatistics, and public health whoutilize resampling methods in their everyday work.
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Ratio Estimate for Importance Sampling
Importance Sampling in Bayesian Applications
The ChiSquare Distribution
The Students t Distribution
The Beta Distribution
The F Distribution
Appendix A Review of Probability
The Mean of a Sample of Random Variables
Higher Moments and the Moment Generating Function
Appendix B Probability Distributions
Distributions Quick Reference
Solutions to OddNumbered Exercises
Exploratory Data Analysis