New approximations for the distribution of the r -scan statistic

Xiaoping Su; Sylvan Wallenstein

doi:10.1016/S0167-7152(99)00135-2

New approximations for the distribution of the r -scan statistic

Xiaoping Su, Sylvan Wallenstein

Icahn School of Medicine at Mount Sinai

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

New approximations are given for the distribution of the length of the ith (i≥1) smallest intervals containing r points, when N observations are randomly distributed on the unit interval, with primary emphasis on the case where N is a random variable.

Original language	English
Pages (from-to)	411-419
Number of pages	9
Journal	Statistics and Probability Letters
Volume	46
Issue number	4
DOIs	https://doi.org/10.1016/S0167-7152(99)00135-2
State	Published - 15 Feb 2000

Keywords

Compound Poisson approximation
Declumping
Pólya-Aeppli distribution

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10.1016/S0167-7152(99)00135-2

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title = "New approximations for the distribution of the r -scan statistic",

abstract = "New approximations are given for the distribution of the length of the ith (i≥1) smallest intervals containing r points, when N observations are randomly distributed on the unit interval, with primary emphasis on the case where N is a random variable.",

keywords = "Compound Poisson approximation, Declumping, P{\'o}lya-Aeppli distribution",

author = "Xiaoping Su and Sylvan Wallenstein",

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T1 - New approximations for the distribution of the r -scan statistic

AU - Su, Xiaoping

AU - Wallenstein, Sylvan

PY - 2000/2/15

Y1 - 2000/2/15

N2 - New approximations are given for the distribution of the length of the ith (i≥1) smallest intervals containing r points, when N observations are randomly distributed on the unit interval, with primary emphasis on the case where N is a random variable.

AB - New approximations are given for the distribution of the length of the ith (i≥1) smallest intervals containing r points, when N observations are randomly distributed on the unit interval, with primary emphasis on the case where N is a random variable.

KW - Compound Poisson approximation

KW - Declumping

KW - Pólya-Aeppli distribution

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U2 - 10.1016/S0167-7152(99)00135-2

DO - 10.1016/S0167-7152(99)00135-2

M3 - Article

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SN - 0167-7152

VL - 46

SP - 411

EP - 419

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 4

ER -

New approximations for the distribution of the r -scan statistic

Abstract

Keywords

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