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ArticleOriginal scientific text

Title

On two tests based on disjoint m-spacings

Authors 1

Affiliations

  1. Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Abstract

This paper is concerned with the properties of two statistics based on the logarithms of disjoint m-spacings. The asymptotic normality is established in an elementary way and exact and asymptotic means and variances are computed in the case of uniform distribution on the interval [0,1]. This result is generalized to the case when the sample is drawn from a distribution with positive step density on [0,1]. Bahadur approximate efficiency of tests based on those statistics is found for such alternatives.

Keywords

ENG
step densities, disjoint m-spacings, limit distributions, Bahadur approximate efficiency

Bibliography

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Applicationes Mathematicae
1998-1999/25/3
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Pages:
359-373
Main language of publication
English
Received
1997-09-25
Published
1998
Exact and natural sciences