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Non-Standard Rank Tests

Non-Standard Rank Tests

Paperback

Series: Lecture Notes in Statistics, Book 65

General MathematicsProbability & Statistics

ISBN10: 0387974849
ISBN13: 9780387974842
Publisher: Springer Pg
Published: Dec 3 1990
Pages: 252
Weight: 0.92
Height: 0.55 Width: 6.69 Depth: 9.61
Language: English
This monograph extends the notion of locally most powerful rank tests to non-regular cases. Through this no- tion one is led in a natural way to non-standard rank tests. A nearly complete analysis of the finite sample and asymptotic properties of such rank tests is presented. Also an adaptive test procedure is proposed and studied, and the results of a Monte Carlo simulation are given which provide strong evidence that it should perform well in many practical situations. An appendix derives the limit experiments needed to investigate the asymptotic optimality of these non-standard rank tests under local alternatives. The results in the appendix should also be of separate interest.

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