Rasch, Dieter

Mathematical Statistics

Rasch, Dieter - Mathematical Statistics, ebook


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ISBN: 9781119385233
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Explores mathematical statistics in its entirety—from the fundamentals to modern methods

This book 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 the following: analysis of variance (ANOVA) for models with fixed, random, and mixed effects; regression analysis is also first presented for linear models with fixed, random, and mixed effects before being expanded to nonlinear models; statistical multi-decision problems like statistical selection procedures (Bechhofer and Gupta) and sequential tests; and design of experiments from a mathematical-statistical point of view. Most analysis methods have been supplemented by formulae for minimal sample sizes. The chapters also contain exercises with hints for solutions.

Translated from the successful German text, Mathematical Statistics requires knowledge of probability theory (combinatorics, probability distributions, functions and sequences of random variables), which is typically taught in the earlier semesters of scientific and mathematical study courses. It teaches readers all about statistical analysis and covers the design of experiments. The book also describes optimal allocation in the chapters on regression analysis. Additionally, it features a chapter devoted solely to experimental designs.

  • Classroom-tested with exercises included
  • Practice-oriented (taken from day-to-day statistical work of the authors)
  • Includes further studies including design of experiments and sample sizing
  • Presents and uses IBM SPSS Statistics 24 for practical calculations of data

Mathematical Statistics is a recommended text for advanced students and practitioners of math, probability, and statistics.

Keywords: General & Introductory Mathematics, General & Introductory Statistics, General & Introductory Mathematics, General & Introductory Statistics,

statistics; mathematics; probability; mathematical statistics; stochastic processes; fundamentals of statistics; modern methods of statistics; statistics textbook; sample size determination; guide to mathematical statistics; statistical estimations; analysis of variance (ANOVA); guide to statistical multi-decision problems; guide to statistical selection procedures; regression analysis; IBM SPSS Statistics 24 applications; Mathematical Statistics

John Wiley and Sons, Inc.
Publication year
Page amount
688 pages
Natural Sciences
Printed ISBN

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