Mathematical Statistics with Resampling and R

Beschreibung

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: * Exploratory data analysis * Calculation of sampling distributions * The Central Limit Theorem * Monte Carlo sampling * Maximum likelihood estimation and properties of estimators * Confidence intervals and hypothesis tests * Regression * Bayesian methods 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 Ris an excellent 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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Laura M. Chihara

Themen in »Mathematical Statistics with Resampling and R«

Mathematische Statistik Probability & Mathematical Statistics Statistics Statistics - Text & Reference Statistik Statistik / Lehr- u. Nachschlagewerke Wahrscheinlichkeitsrechnung u. mathematische Statistik

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"Mathematical Statistics with Resampling and R is a great resource for intermediate and advanced statistics students who want to achieve an indepth understanding of resampling techniques backed by practical implementation." (Book Pleasures, 2012) "It is highly recommended to someone with a good background in mathematics, probability, and basic statistics who wants to learn about the theory and about resampling and how it relates to traditional methods, and how to implement resamplinjg in R. The book is also a wonderful source of simulations to support the teaching of statistics." (Journal of Biopharmaceutical Statistics, 2011) "It is less demanding mathematically, more applied in its emphasis, and more modern in content than the usual book, which makes it a good choice if you want a modern applied book at the level of Larsen and Marx (1986)."- George W. Cobb, Mount Holyoke College Department of Mathematics and Statsitics (Chilean Journal of Statistics, 1 April 2011)
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