1st Edition

Introductory Statistical Inference

By Nitis Mukhopadhyay Copyright 2006

    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.

    Review of Probability and Related Concepts. 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. Regression Analysis: Fitting a Straight Line. Nonparametric Methods. Bootstrap Methods. Appendix. References.

    Biography

    Mukhopadhyay, Nitis