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


Glaz, Joseph; Naus, Joseph; Roos, Malgorzata; Wallenstein, Sylvan (1994). Poisson approximations for the distribution and moments of ordered m-spacings. Journal of Applied Probability, 31A:271-281.

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.

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:04 Faculty of Medicine > Epidemiology, Biostatistics and Prevention Institute (EBPI)
07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:610 Medicine & health
510 Mathematics
Language:English
Date:1994
Deposited On:16 Nov 2009 12:49
Last Modified:05 Apr 2016 13:28
Publisher:Applied Probability Trust
ISSN:0021-9002
Additional Information:Studies in applied probability
Publisher DOI:https://doi.org/10.2307/3214961
Official URL:http://www.jstor.org/stable/3214961

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