This post contains an introduction to Mathematical Statistics 8th edition. Statistics was first considered as a part of mathematics. Later on, it emerged as a separate field of learning. Mathematical statistics in short is application of mathematical principles in statistics. Algebra, equations and other techniques are employed in mathematical statistics. Many books are written on statistics and mathematical statistics. Given below is a short review of a popular book on this topic.
Introduction to Mathematical Statistics 8th Edition
Text Introduction to Mathematical Statistics is written by Robert V Hogg, J W McKean and Allen T Craig. JW McKean belongs to Western Michigan university, whereas, the other two authors have affiliation with University of Iowa. 1st edition came into scene in 1958 and since then, eight edition of the book have already been published. Detailed theoretical explanation of topics is the feature of Introduction to Mathematical Statistics.
Initial chapters of the book are related to distributions. First chapter of the book is about probability and distributions. It contains set theory, probability, variables and in-equalities. Then there is an introduction to multi-variate distributions. Concept of correlation effect and two random variables make a part of this chapter. Then there are some special distributions. These include Poisson distributions, normal distributions and others. It also contains t-distributions and f-distributions along-with their applications.
Unbiasedness, Consistency, and Limiting Distributions are also explained in initial chapters. Then, we have content on inferential statistics in the book. This has portion of testing and some tests including Chi square, bootstrap procedures etc. A complete chapter on Bayesian Statistics is also present in the book. Non-parametric statistics also comes under mathematical statistics. Similarly, Regression, ANOVA and other similiar tests make a part of Inferences about Normal Models. Introduction to Mathematical Statistics contains a lot of examples and theorems. These make understanding of concept easier. Download book from Google books.