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

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 \u3e 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