A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-Emigration

A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-Emigration

Lineargrowth process with immigration and emigration is the general model in the study of population in biological and ecological systems, and their transient analysis is the most important factor in the understanding of the structural behavior of such systems. The probability-generating function π(...

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Bibliographic Details
Main Authors: Bijoy Kumar Pradhan, Priyaranjan Dash, Upasana
Format: Article
Language:English
Published: Atlantis Press 2021-02-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
Birth
Death
Immigration and Emigration Process
Linear growth process
Online Access:https://www.atlantis-press.com/article/125952320/view
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spelling doaj-a5fe65b3da374c5f9943d4b81474c0112021-03-16T16:32:44ZengAtlantis PressJournal of Statistical Theory and Applications (JSTA)2214-17662021-02-0120110.2991/jsta.d.210126.003A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-EmigrationBijoy Kumar PradhanPriyaranjan DashUpasanaLineargrowth process with immigration and emigration is the general model in the study of population in biological and ecological systems, and their transient analysis is the most important factor in the understanding of the structural behavior of such systems. The probability-generating function π(z, t) of the probability distribution {pn(t)} of the random variable N(t) in many queuing situations concerning Birth, Death, Immigration, and Emigration were studied and we find the generalization of the transient solutions of the queuing systems and also studied its particular cases.https://www.atlantis-press.com/article/125952320/viewBirthDeathImmigration and Emigration ProcessLinear growth process
collection DOAJ
language English
format Article
sources DOAJ
author Bijoy Kumar Pradhan
Priyaranjan Dash
Upasana
spellingShingle Bijoy Kumar Pradhan
Priyaranjan Dash
Upasana
A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-Emigration
Journal of Statistical Theory and Applications (JSTA)
Birth
Death
Immigration and Emigration Process
Linear growth process
author_facet Bijoy Kumar Pradhan
Priyaranjan Dash
Upasana
author_sort Bijoy Kumar Pradhan
title A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-Emigration
title_short A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-Emigration
title_full A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-Emigration
title_fullStr A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-Emigration
title_full_unstemmed A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-Emigration
title_sort note on generalization of the simplest time-dependent discrete markov process: linear growth process with immigration-emigration
publisher Atlantis Press
series Journal of Statistical Theory and Applications (JSTA)
issn 2214-1766
publishDate 2021-02-01
description Lineargrowth process with immigration and emigration is the general model in the study of population in biological and ecological systems, and their transient analysis is the most important factor in the understanding of the structural behavior of such systems. The probability-generating function π(z, t) of the probability distribution {pn(t)} of the random variable N(t) in many queuing situations concerning Birth, Death, Immigration, and Emigration were studied and we find the generalization of the transient solutions of the queuing systems and also studied its particular cases.
topic Birth
Death
Immigration and Emigration Process
Linear growth process
url https://www.atlantis-press.com/article/125952320/view
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