ABSTRACT

Introductory Statistical Inference develops the concepts and intricacies of statistical inference. With a review of probability concepts, this book discusses topics such as sufficiency, ancillarity, point estimation, minimum variance estimation, confidence intervals, multiple comparisons, and large-sample inference. It introduces techniques of two-stage sampling, fitting a straight line to data, tests of hypotheses, nonparametric methods, and the bootstrap method. It also features worked examples of statistical principles as well as exercises with hints. This text is suited for courses in probability and statistical inference at the upper-level undergraduate and graduate levels.

chapter 1|38 pages

Probability and Distributions

chapter 2|18 pages

Moments and Generating Functions

chapter 3|26 pages

Multivariate Random Variables

chapter 4|24 pages

Sampling Distribution

chapter 5|14 pages

Notions of Convergence

chapter 6|24 pages

Sufficiency, Completeness, and Ancillarity

chapter 7|22 pages

Point Estimation

chapter 8|22 pages

Tests of Hypotheses

chapter 9|14 pages

Confidence Intervals

chapter 10|12 pages

Bayesian Methods

chapter 11|16 pages

Likelihood Ratio and Other Tests

chapter 12|12 pages

Large-Sample Methods

chapter 13|12 pages

Abbreviations, Historical Notes, and Tables