Probability and Statistical Inference

ISBN-13: 9780367659493 / Angielski / Miękka / 2020 / 665 str.

Nitis Mukhopadhyay

Opis

This gracefully organized text presents the rigorous theory of probability and statistical inference in the style of a tutorial, using worked examples, exercises, numerous figures and tables, and computer simulations to develop and illustrate concepts. Beginning with the basic ideas and techniques of probability theory and progressing to more rigor

Recenzje

"...the book contains unique features throughout. Examples are the moment problem, which is clarified through a nice example, the role of the probability generating functions, and the central limit theorem for the sample variance. Techniques and concepts are typically illustrated through a series of examples. Within a box is routinely summarized what it is that has been accomplished or where to go from that point. At the end of each chapter a long list of exercises is arranged according the sections. "
---Zentralblatt fur Mathematik, 2000
"…a marvelous book for students."
-Statistical Papers

"…a handy reference as well as a good textbook."
-International Statistical Institute, Short Book Reviews

Spis treści

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.

O autorze

Nitis Mukhopadhyay