Probability and Statistical Inference

ISBN-13: 9780824703790 / Angielski / Twarda / 2000 / 665 str.

Nitis Mukhopadhyay; Mukhopadhyay Mukhopadhyay

Opis

This text reveals the rigorous theory of probability and statistical inference in the style of a tutorial, using worked examples, exercises, figures and tables, and computer simulations to develop and illustrate concepts. It is designed for two-semester of three-quarter courses allowing flexibility in the selection of topics beyond the core material. The book reinforces important ideas and emphasizes special techniques with drills and boxed summaries.

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

O autorze

Nitis Mukhopadhyay