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Poisson approximations for the distribution and moments of ordered m-spacings

Part of: Distribution theory - Probability Nonparametric inference Distribution theory Geometric probability and stochastic geometry

Published online by Cambridge University Press:  14 July 2016

Joseph Glaz ,
Joseph Naus ,
Malgorzata Roos  and
Sylvan Wallenstein
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Abstract

This article investigates the accuracy of approximations for the distribution of ordered m-spacings for i.i.d. uniform observations in the interval (0, 1). Several Poisson approximations and a compound Poisson approximation are studied. The result of a simulation study is included to assess the accuracy of these approximations. A numerical procedure for evaluating the moments of the ordered m-spacings is developed and evaluated for the most accurate approximation.

Keywords

COMPOUND POISSON APPROXIMATIONSMOMENTS

MSC classification

Primary: 60D05: Geometric probability and stochastic geometry
Secondary: 60E05: Distributions 62E20: Asymptotic distribution theory 62G30: Order statistics; empirical distribution functions
Type
Part 5 Statistical Studies
Information
Journal of Applied Probability , Volume 31 , Issue A , 1994 , pp. 271 - 281
Copyright
Copyright © Applied Probability Trust 1994 

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