Volume 20, Issue 1, March 2021, Pages 111 - 131
A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-Emigration
Authors
Bijoy Kumar Pradhan1, *, Priyaranjan Dash1, Upasana
1Department of Statistics, Utkal University, Bhubaneswar, Odisha, 751004, India
*Corresponding author. Email: prdashjsp@gmail.com
Corresponding Author
Bijoy Kumar Pradhan
Received 24 January 2019, Accepted 27 April 2020, Available Online 5 February 2021.
- DOI
- 10.2991/jsta.d.210126.003How to use a DOI?
- Keywords
- Birth; Death; Immigration and Emigration Process; Linear growth process
- Abstract
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.
- Copyright
- © 2021 The Authors. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Bijoy Kumar Pradhan AU - Priyaranjan Dash AU - Upasana PY - 2021 DA - 2021/02/05 TI - A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-Emigration JO - Journal of Statistical Theory and Applications SP - 111 EP - 131 VL - 20 IS - 1 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.210126.003 DO - 10.2991/jsta.d.210126.003 ID - Pradhan2021 ER -