Study of Disaster Probability when Strength Follows Power Function Distribution and Stress Follows Odd Generalised Exponential Gompertz Distribution(OGE-G)

Authors

Surinder Kumar, Department of Statistics, School for Physical and Decision Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, India - 226025
Vaidehi Singh
Prem Lata Gautam

Author Country (or Countries)

India

Abstract

In this article, the probability of disaster is studied when the strength of the items follows power function distribution and the stress of the manufactured items/devices follows OGE-G distribution. In order to study the probability of disaster, a relationship between the parameters of OGE-G and power function distribution is established through the reliability measure P = Pr(Y > X). Finally, through the relationship among the parameters involved in the model is used to get the optimum cost function when the cost function is linear in terms of parameters.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/090313

Recommended Citation

Kumar, Surinder; Singh, Vaidehi; and Lata Gautam, Prem (2020) "Study of Disaster Probability when Strength Follows Power Function Distribution and Stress Follows Odd Generalised Exponential Gompertz Distribution(OGE-G)," Journal of Statistics Applications & Probability: Vol. 9: Iss. 3, Article 13.
DOI: http://dx.doi.org/10.18576/jsap/090313
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol9/iss3/13