Poisson approximations for the distribution and moments of orderedm-spacings
- 1 January 1994
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 31 (A) , 271-281
- https://doi.org/10.2307/3214961
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 approximationKeywords
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