On some limit laws for perturbed empirical distribution functions

Manfred Denker; Madan L. Puri

doi:10.1016/0167-7152(93)00026-Q

On some limit laws for perturbed empirical distribution functions

Manfred Denker
, Madan L. Puri

Mathematics

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

1 Scopus citations

Abstract

In this note, we establish the convergence properties for a broad class of random variables of the form S_n = ∫F_n(T_n - s)ν_n(ds) where T_n is some random variable, F_n is an empirical distribution function based on an independent sample of size n, and ν_n is some measure.

Original language	English (US)
Pages (from-to)	317-321
Number of pages	5
Journal	Statistics and Probability Letters
Volume	21
Issue number	4
DOIs	https://doi.org/10.1016/0167-7152(93)00026-Q
State	Published - Nov 11 1994

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/0167-7152(93)00026-Q

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abstract = "In this note, we establish the convergence properties for a broad class of random variables of the form Sn = ∫Fn(Tn - s)νn(ds) where Tn is some random variable, Fn is an empirical distribution function based on an independent sample of size n, and νn is some measure.",

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AU - Puri, Madan L.

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N2 - In this note, we establish the convergence properties for a broad class of random variables of the form Sn = ∫Fn(Tn - s)νn(ds) where Tn is some random variable, Fn is an empirical distribution function based on an independent sample of size n, and νn is some measure.

AB - In this note, we establish the convergence properties for a broad class of random variables of the form Sn = ∫Fn(Tn - s)νn(ds) where Tn is some random variable, Fn is an empirical distribution function based on an independent sample of size n, and νn is some measure.

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U2 - 10.1016/0167-7152(93)00026-Q

DO - 10.1016/0167-7152(93)00026-Q

M3 - Article

AN - SCOPUS:0346540923

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SP - 317

EP - 321

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 4

ER -

On some limit laws for perturbed empirical distribution functions

Abstract

All Science Journal Classification (ASJC) codes

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