Theory of Nonparametric Tests
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Beschreibung
This textbook provides a self-contained presentation of the main concepts and methods of nonparametric statistical testing, with a particular focus on the theoretical foundations of goodness-of-fit tests, rank tests, resampling tests, and projection tests. The substitution principle is employed as a unified approach to the nonparametric test problems discussed. In addition to mathematical theory, it also includes numerous examples and computer implementations. The book is intended for advanced undergraduate, graduate, and postdoc students as well as young researchers. Readers should be familiar with the basic concepts of mathematical statistics typically covered in introductory statistics courses.
This textbook provides a self-contained presentation of the main concepts and methods of nonparametric statistical testing, with a particular focus on the theoretical foundations of goodness-of-fit tests, rank tests, resampling tests, and projection tests. The substitution principle is employed as a unified approach to the nonparametric test problems discussed. In addition to mathematical theory, it also includes numerous examples and computer implementations. The book is intended for advanced undergraduate, graduate, and postdoc students as well as young researchers. Readers should be familiar with the basic concepts of mathematical statistics typically covered in introductory statistics courses.
Provides a cohesive and self-contained introduction to nonparametric statistical testing Includes exercises and solution tips Offers a unified perspective on a variety of nonparametric test problems Discusses concrete examples and computer implementations in addition to the mathematical theory
Autor*in
Thorsten Dickhaus
Themen in »Theory of Nonparametric Tests«
Statistical functional Substitution principle Resampling Empirical measure Rank statistics Rank tests Goodness-of-fit tests Bootstrap for linear models Projection tests Statistics Mathematical statistics Nonparametric tests