A Cascade System Reliability Model for Rama Distributed Random Variables

Chumchum Doloi¹ , Jonali Gogoi² , Gitanjali Pradhani³

1. Statistics, Assistant Professor, Pandit Deendayal Upadhyaya Adarsha Mahavidyalaya, Bongaigaon, India.
2. Statistics, Assistant Professor, Assam University, Silchar, India.
3. Statistics, Research Scholar, Assam University, Silchar, India.

Section:Research Paper, Product Type: Journal-Paper
Vol.10 , Issue.1 , pp.1-9, Feb-2023

Online published on Feb 28, 2023

Copyright © Chumchum Doloi, Jonali Gogoi, Gitanjali Pradhani . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The reliability of a cascade system when the stress and strength are Rama-distributed random variables have been studied in this study. A standby redundancy system known as a "Cascade" replaces a failed component with a standby component that has independently dispersed strength and a lower stress value. A specific kind of stress-strength model is the cascade reliability model. The Cascade model`s system reliabilities for the parameters of this distribution about the cascade variables are calculated using the value of the marginal reliabilities for n=1,2 which is further used to find the system reliability R_2 2 of the Cascade model for the parameters of Rama distribution according to the cascade variables.

Key-Words / Index Term :
cascade system, stress-strength, reliability, hazard rate function, mean residual life function, Rama distribution

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