Probability and Statistical Inference, Second Edition (Statistics: a Series of Textbooks and Monographs) -- Hardback （2 New edit）

Mukhopadhyay, Nitis

Taylor & Francis Inc（2025/07発売）

• 製本 Hardcover:ハードカバー版／ページ数 720 p.
• 言語 ENG
• 商品コード 9781439835289
• DDC分類 519

Full Description

This text presents the rigorous theory of probability and statistical inference using worked examples, exercises, figures, tables, and computer simulations to develop and illustrate concepts. Beginning with the basic ideas and techniques of probability theory and progressing to more rigorous topics, the author covers all of the topics typically addressed in a two-semester graduate or upper-level undergraduate course in probability and statistical inference, including hypothesis testing, Bayesian analysis, and sample-size determination. He reinforces important ideas and special techniques with drills and boxed summaries.

Contents

Notions of probability; expectations of functions of random variables; multivariate random variables; transformations and sampling distributions; notions of stochastic convergence; sufficiency, completeness and ancillarity; point estimation; tests of hypotheses; confidence interval estimation; Bayesian methods; likelihood ratio and other tests; large-sample inference; sample size determination - two-stage procedures. Appendices: abbreviations and notation; celebration of statistics - selected biographical notes; selected statistical tables.