Limiting behavior of the perturbed empirical distribution functions evaluated at U-statistics for strongly mixing sequences of random variables

cc-by We prove the almost sure representation, a law of the iterated logarithm and an invariance principle for the statistic F̂n(Un) for a class of strongly mixing sequences of random variables {Xi,i ≥ 1}. Stationarity is not assumed. Here F̂n is the perturbed empirical distribution function and Un...

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Bibliographic Details
Published in:Journal of Applied Mathematics and Stochastic Analysis
Main Authors: Sun, Shan (TTU), Chiang, Ching Yuan
Format: Article in Journal/Newspaper
Language:English
Published: 1997
Subjects:
Almost Sure Representation
Invariance Principle
Law of the Iterated Logarithm
Perturbed Empirical Distribution Functions
Strong Mixing
U-statistic
North Atlantic
Online Access:https://hdl.handle.net/2346/95704
https://doi.org/10.1155/S1048953397000026
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spelling fttexastechuniv:oai:ttu-ir.tdl.org:2346/95704 2023-09-26T15:20:55+02:00 Limiting behavior of the perturbed empirical distribution functions evaluated at U-statistics for strongly mixing sequences of random variables Sun, Shan (TTU) Chiang, Ching Yuan 1997 application/pdf https://hdl.handle.net/2346/95704 https://doi.org/10.1155/S1048953397000026 eng eng Sun, S., & Chiang, C.-Y. 1997. Limiting behavior of the perturbed empirical distribution functions evaluated at U-statistics for strongly mixing sequences of random variables. Journal of Applied Mathematics and Stochastic Analysis, 10(1). https://doi.org/10.1155/S1048953397000026 https://doi.org/10.1155/S1048953397000026 https://hdl.handle.net/2346/95704 Almost Sure Representation Invariance Principle Law of the Iterated Logarithm Perturbed Empirical Distribution Functions Strong Mixing U-statistic Article 1997 fttexastechuniv https://doi.org/10.1155/S1048953397000026 2023-08-26T22:07:06Z cc-by We prove the almost sure representation, a law of the iterated logarithm and an invariance principle for the statistic F̂n(Un) for a class of strongly mixing sequences of random variables {Xi,i ≥ 1}. Stationarity is not assumed. Here F̂n is the perturbed empirical distribution function and Un is a U-statistic based on X1,., Xn. ©1997 by North Atlantic Science Publishing Company. Article in Journal/Newspaper North Atlantic Texas Tech University: TTU DSpace Repository Journal of Applied Mathematics and Stochastic Analysis 10 1 3 20
institution Open Polar
collection Texas Tech University: TTU DSpace Repository
op_collection_id fttexastechuniv
language English
topic Almost Sure Representation
Invariance Principle
Law of the Iterated Logarithm
Perturbed Empirical Distribution Functions
Strong Mixing
U-statistic
spellingShingle Almost Sure Representation
Invariance Principle
Law of the Iterated Logarithm
Perturbed Empirical Distribution Functions
Strong Mixing
U-statistic
Sun, Shan (TTU)
Chiang, Ching Yuan
Limiting behavior of the perturbed empirical distribution functions evaluated at U-statistics for strongly mixing sequences of random variables
topic_facet Almost Sure Representation
Invariance Principle
Law of the Iterated Logarithm
Perturbed Empirical Distribution Functions
Strong Mixing
U-statistic
description cc-by We prove the almost sure representation, a law of the iterated logarithm and an invariance principle for the statistic F̂n(Un) for a class of strongly mixing sequences of random variables {Xi,i ≥ 1}. Stationarity is not assumed. Here F̂n is the perturbed empirical distribution function and Un is a U-statistic based on X1,., Xn. ©1997 by North Atlantic Science Publishing Company.
format Article in Journal/Newspaper
author Sun, Shan (TTU)
Chiang, Ching Yuan
author_facet Sun, Shan (TTU)
Chiang, Ching Yuan
author_sort Sun, Shan (TTU)
title Limiting behavior of the perturbed empirical distribution functions evaluated at U-statistics for strongly mixing sequences of random variables
title_short Limiting behavior of the perturbed empirical distribution functions evaluated at U-statistics for strongly mixing sequences of random variables
title_full Limiting behavior of the perturbed empirical distribution functions evaluated at U-statistics for strongly mixing sequences of random variables
title_fullStr Limiting behavior of the perturbed empirical distribution functions evaluated at U-statistics for strongly mixing sequences of random variables
title_full_unstemmed Limiting behavior of the perturbed empirical distribution functions evaluated at U-statistics for strongly mixing sequences of random variables
title_sort limiting behavior of the perturbed empirical distribution functions evaluated at u-statistics for strongly mixing sequences of random variables
publishDate 1997
url https://hdl.handle.net/2346/95704
https://doi.org/10.1155/S1048953397000026
genre North Atlantic
genre_facet North Atlantic
op_relation Sun, S., & Chiang, C.-Y. 1997. Limiting behavior of the perturbed empirical distribution functions evaluated at U-statistics for strongly mixing sequences of random variables. Journal of Applied Mathematics and Stochastic Analysis, 10(1). https://doi.org/10.1155/S1048953397000026
https://doi.org/10.1155/S1048953397000026
https://hdl.handle.net/2346/95704
op_doi https://doi.org/10.1155/S1048953397000026
container_title Journal of Applied Mathematics and Stochastic Analysis
container_volume 10
container_issue 1
container_start_page 3
op_container_end_page 20
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