Limit distribution of spacings statistics when the sample size is random

Girish Aras; S. Rao Jammalamadaka; X. Zhou

doi:10.1016/0167-7152(89)90026-6

Limit distribution of spacings statistics when the sample size is random

Girish Aras^*, S. Rao Jammalamadaka, X. Zhou

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

A random sample size version of the central limit theorem is obtained for a general class of symmetric statistics based on uniform spacings. An important application to goodness of fit test for a Poisson process is discussed.

Original language	English
Pages (from-to)	451-456
Number of pages	6
Journal	Statistics and Probability Letters
Volume	8
Issue number	5
DOIs	https://doi.org/10.1016/0167-7152(89)90026-6
Publication status	Published - 1989
Externally published	Yes

Keywords

Doeblin-Anscombe theorem
goodness of fit tests
spacings

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10.1016/0167-7152(89)90026-6

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@article{a5b7498a7b324cecb12f9311399800b5,

title = "Limit distribution of spacings statistics when the sample size is random",

abstract = "A random sample size version of the central limit theorem is obtained for a general class of symmetric statistics based on uniform spacings. An important application to goodness of fit test for a Poisson process is discussed.",

keywords = "Doeblin-Anscombe theorem, goodness of fit tests, spacings",

author = "Girish Aras and Jammalamadaka, {S. Rao} and X. Zhou",

year = "1989",

doi = "10.1016/0167-7152(89)90026-6",

language = "English",

volume = "8",

pages = "451--456",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier",

number = "5",

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T1 - Limit distribution of spacings statistics when the sample size is random

AU - Aras, Girish

AU - Jammalamadaka, S. Rao

AU - Zhou, X.

PY - 1989

Y1 - 1989

N2 - A random sample size version of the central limit theorem is obtained for a general class of symmetric statistics based on uniform spacings. An important application to goodness of fit test for a Poisson process is discussed.

AB - A random sample size version of the central limit theorem is obtained for a general class of symmetric statistics based on uniform spacings. An important application to goodness of fit test for a Poisson process is discussed.

KW - Doeblin-Anscombe theorem

KW - goodness of fit tests

KW - spacings

UR - http://www.scopus.com/inward/record.url?scp=38249005956&partnerID=8YFLogxK

U2 - 10.1016/0167-7152(89)90026-6

DO - 10.1016/0167-7152(89)90026-6

M3 - Article

AN - SCOPUS:38249005956

SN - 0167-7152

VL - 8

SP - 451

EP - 456

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 5

ER -

Limit distribution of spacings statistics when the sample size is random

Abstract

Keywords

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