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315020

A Global Limit Theorem for the Sum of N-Markov Bernoulli Random Variables

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Last updated: 05 Jan 2025

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Abstract

A limit theorem is proved, in the Lp space, for the sum of n-Markov Bernoulli random variables. This result is a generalization of Gharib and Yehia [3], the integral limit theorem of a sequence of chain dependent trials [4], and the Berry-Essen theorem of a sequence of independent and identically distributed random variables [5].

DOI

10.21608/esju.1991.315020

Keywords

Berry-Essen Theorem, Chain Dependent Trials, Limit Theorem, Markov Bernoulli Random Variables

Authors

First Name

Gharib

Last Name

M

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City

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Orcid

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First Name

Abdel Fattah

Last Name

M

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Volume

35

Article Issue

2

Related Issue

43185

Issue Date

1991-12-01

Receive Date

2023-08-28

Publish Date

1991-12-01

Page Start

285

Page End

297

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_315020.html

Detail API

https://esju.journals.ekb.eg/service?article_code=315020

Order

7

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

A Global Limit Theorem for the Sum of N-Markov Bernoulli Random Variables

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Article

Created At

28 Dec 2024