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Other titles in the Graduate Texts in Mathematics series:
Fundamentals of Mathematical Statistics, Vol. IIby Hung T. Nguyen
Synopses & Reviews
This is a text (divided into two volumes) for a two semester course in Mathematical Statistics at the Senior/Graduate level. The two main pedagogical aspects in these Volumes are: (i) the material is designed in lessons (each for a 50 minute class) with complementary exercises and home work. (ii) although the material is traditional, great care is exerted upon self-contained, rigorous and complete presentations. An elementary introduction to characteristic functions and probability measures and intergration, but not general measure theory in Volume I, allows a complete proof of some central limit theorems and a rigorous treatment of asymptotic of statistical inference. But students need to be familiar only with such things as Jacobians and eigenvalues of matrices. Volume II: Statistical Inference is designed for the second semester and contains a rigorous introduction to Mathematical Statistics, from random samples to asymptotic theory of statistical inference.
Book News Annotation:
The authors (associated with the Department of Mathematical Sciences at New Mexico State University) have produced a two-volume text intended to keep serious advanced undergraduates busy for an academic year. Unusual mainly in that the text has been organized into "50-minute Lessons" (of which some, marked *, are "interesting but not necessary"). Volume I treats "Elementary probability and statistics" (21 lessons), "Probability and expectation" (13 lessons), "Limiting distributions" (15 lessons); Volume II treats "Sampling and distributions" (11 lessons), "Statistical estimation" (14 lessons), "Testing hypotheses" (12 lessons) and some "Special topics" (11 lessons). The typed equations are not particularly easy to read, the typewriter-generated figures even more unsightly. Exercises, occasional references. (NW)
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Table of Contents
v. 1. Probability for statistics — v. 2. Statistical inference.
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