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66288

Different Models of Random Walk

Article

Last updated: 22 Jan 2023

Subjects

-

Tags

Statistics

Abstract

This paper is devoted to studying what call irregular random walk on the non-negative integers. The random walk plays an essential role in different areas of applications. It models many problems in a way to make it easier to handle and study. A random walk, in general, is a sequence of partial sums of independent identically distributed random variables. The type which well be considered in is partial sums of random variables that are not necessarily independent or identically distributed. The type of random walk of being transient or recurrent is one of the most important concepts to be studied. The random walk is said to be recurrent if the walker starts at some state and the return time to the starting state is finite almost surely, and transient if there is a positive probability of not returning to the starting state. The recurrent random walk is positive if the mean return time is also finite, and it is null recurrent otherwise.

DOI

10.21608/jisse.2019.19916.1016

Keywords

Random Walk, Markov chain, irregular, non-negative

Authors

First Name

Afrah

Last Name

Al-Bossly

MiddleName

-

Affiliation

Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia.

Email

a.basli@psau.edu.sa

City

Al kharj

Orcid

-

Volume

1

Article Issue

2

Related Issue

10780

Issue Date

2019-12-01

Receive Date

2019-11-21

Publish Date

2019-12-01

Page Start

48

Page End

52

Print ISSN

2636-4425

Online ISSN

2682-3438

Link

https://jisse.journals.ekb.eg/article_66288.html

Detail API

https://jisse.journals.ekb.eg/service?article_code=66288

Order

3

Type

Original Article

Type Code

908

Publication Type

Journal

Publication Title

Journal of International Society for Science and Engineering

Publication Link

https://jisse.journals.ekb.eg/

MainTitle

-

Details

Type

Article

Created At

22 Jan 2023