Rank Tests with Estimated Scores and Their Application:
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Bibliographic Details
Main Author: Behnen, Konrad 1941-2000 (Author)
Format: Electronic eBook
Language:German
Published: Wiesbaden Vieweg+Teubner Verlag 1989
Series:Teubner Skripten zur Mathematischen Stochastik
Subjects:
Online Access:Volltext
Item Description:The general aim of this book is to present a new class of nonlinear rank tests for a variety of important testing problems. The need for such new procedures sterns from the fact that the classical linear rank tests are sensitive only for small classes of alternatives, while our nonlinear rank tests are designed to be sensitive for broad classes of alternatives. The development of the new procedures is strongly influenced by the opinion that in many real world situations the classical shift assumption is too idealized. By introducing general nonparametric models we get rid of the shift assumption. For the two-sample situation a detailed motivation is given in Chapter 1. Our theoretical results and many Monte Carlo simulations have convinced us that the proposed procedures are of real practical importance and should be used in statistical applications. Therefore in Chapter 2 we present a simple algorithmic description of the new rank tests- without stressing any mathematical theory- and a step by step evaluation of numerical examples, whereas in Part 11 of the book (Chapters 2-6) we give a rigorous asymptotic theory of all proposals of Chapter 2. These chapters discuss different models and motivate the special proposals. Most of the concepts and of the theoretical results are based on our own work
Physical Description:1 Online-Ressource (IX, 418 S.)
ISBN:9783322947628
9783519027287
ISSN:1615-4193
DOI:10.1007/978-3-322-94762-8

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