Mathematical Statistics by Dieter Rasch (Author), explores mathematical statistics from its fundamentals to modern methods. This comprehensive guide introduces readers to point estimation, confidence intervals, and statistical tests. Based on the general theory of linear models, it provides an in-depth overview of analysis of variance (ANOVA) for models with fixed, random, and mixed effects; regression analysis initially covers linear models before expanding to nonlinear models; and discusses statistical multi-decision problems such as statistical selection procedures (Bechhofer and Gupta) and sequential tests. Additionally, the book delves into the design of experiments from a mathematical-statistical perspective, including optimal allocation in chapters on regression analysis. It also includes a dedicated chapter on experimental designs.

Translated from the successful German text, this edition is rich with exercises accompanied by hints for solutions, ensuring a thorough understanding of each concept. Mathematical Statistics requires knowledge of probability theory (combinatorics, probability distributions, functions and sequences of random variables), typically taught in earlier semesters of scientific and mathematical study courses. It covers the essential tools needed to perform statistical analysis effectively and understand the principles behind experimental designs.

With a print length of 688 pages, this book is a valuable resource for students and professionals alike, offering both foundational knowledge and advanced insights into modern statistical methods.

Publisher: Wiley

Edition: 1st

Language: English

ISBN-10: 9781119385288

ISBN-13: 978-1119385288

Publication Date: March 26, 2018

Dimensions: 6.3 x 1.4 x 9.1 inches