# mathematical statistics de gruyter textbook

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## Mathematical Statistics

**Author :**Wiebe R. Pestman

**ISBN :**3110153580

**Genre :**Mathematics

**File Size :**46. 90 MB

**Format :**PDF, Mobi

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This text contains 300 problems in mathematical statistics, together with detailed solutions.

## Probability Theory And Statistical Applications

**Author :**Peter Zörnig

**ISBN :**9783110402834

**Genre :**Mathematics

**File Size :**30. 36 MB

**Format :**PDF, Docs

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This accessible and easy-to-read book provides many examples to illustrate diverse topics in probability and statistics, from initial concepts up to advanced calculations. Special attention is devoted e.g. to independency of events, inequalities in probability and functions of random variables. The book is directed to students of mathematics, statistics, engineering, and other quantitative sciences.

## Parametric Statistical Theory

**Author :**Johann Pfanzagl

**ISBN :**3110140306

**Genre :**Mathematics

**File Size :**47. 97 MB

**Format :**PDF, Docs

**Download :**703

**Read :**1150

## Mathematical Statistics

**Author :**Wiebe R. Pestman

**ISBN :**9783110208535

**Genre :**Mathematics

**File Size :**85. 6 MB

**Format :**PDF, Mobi

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This textbook provides a broad and solid introduction to mathematical statistics, including the classical subjects hypothesis testing, normal regression analysis, and normal analysis of variance. In addition, non-parametric statistics and vectorial statistics are considered, as well as applications of stochastic analysis in modern statistics, e.g., Kolmogorov-Smirnov testing, smoothing techniques, robustness and density estimation. For students with some elementary mathematical background. With many exercises. Prerequisites from measure theory and linear algebra are presented.

## Stochastics

**Author :**Hans-Otto Georgii

**ISBN :**9783110293609

**Genre :**Mathematics

**File Size :**40. 72 MB

**Format :**PDF, ePub, Docs

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This second revised and extended edition presents the fundamental ideas and results of both, probability theory and statistics, and comprises the material of a one-year course. It is addressed to students with an interest in the mathematical side of stochastics. Stochastic concepts, models and methods are motivated by examples and developed and analysed systematically. Some measure theory is included, but this is done at an elementary level that is in accordance with the introductory character of the book. A large number of problems offer applications and supplements to the text.

## Probability Theory

**Author :**Werner Linde

**ISBN :**9783110466195

**Genre :**Mathematics

**File Size :**86. 81 MB

**Format :**PDF, ePub, Mobi

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This book is intended as an introduction to Probability Theory and Mathematical Statistics for students in mathematics, the physical sciences, engineering, and related fields. It is based on the author’s 25 years of experience teaching probability and is squarely aimed at helping students overcome common difficulties in learning the subject. The focus of the book is an explanation of the theory, mainly by the use of many examples. Whenever possible, proofs of stated results are provided. All sections conclude with a short list of problems. The book also includes several optional sections on more advanced topics. This textbook would be ideal for use in a first course in Probability Theory. Contents: Probabilities Conditional Probabilities and Independence Random Variables and Their Distribution Operations on Random Variables Expected Value, Variance, and Covariance Normally Distributed Random Vectors Limit Theorems Mathematical Statistics Appendix Bibliography Index

## Statistics For Linguistics With R

**Author :**Stefan Th. Gries

**ISBN :**9783110216042

**Genre :**Language Arts & Disciplines

**File Size :**56. 49 MB

**Format :**PDF, Kindle

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This book is an introduction to statistics for linguists using the open source software R. It is aimed at students and instructors/professors with little or no statistical background and is written in a non-technical and reader-friendly/accessible style. It first introduces in detail the overall logic underlying quantitative studies: exploration, hypothesis formulation and operationalization, and the notion and meaning of significance tests. It then introduces some basics of the software R relevant to statistical data analysis. A chapter on descriptive statistics explains how summary statistics for frequencies, averages, and correlations are generated with R and how they are graphically represented best. A chapter on analytical statistics explains how statistical tests are performed in R on the basis of many different linguistic case studies: For nearly every single example, it is explained what the structure of the test looks like, how hypotheses are formulated, explored, and tested for statistical significance, how the results are graphically represented, and how one would summarize them in a paper/article. A chapter on selected multifactorial methods introduces how more complex research designs can be studied: methods for the study of multifactorial frequency data, correlations, tests for means, and binary response data are discussed and exemplified step-by-step. Also, the exploratory approach of hierarchical cluster analysis is illustrated in detail. The book comes with many exercises, boxes with short think breaks and warnings, recommendations for further study, and answer keys as well as a statistics for linguists newsgroup on the companion website. The volume is aimed at beginners on every level of linguistic education: undergraduate students, graduate students, and instructors/professors and can be used in any research methods and statistics class for linguists. It presupposes no quantitative/statistical knowledge whatsoever and, unlike most competing books, begins at step 1 for every method and explains everything explicitly.