MODIFIED WEIBULL STATISTICS 4643 - INTRODUCTION TO STOCHASTIC PROCESSES 1. PROBLEM The failure rate functions of Weibull

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Modified Weibull Statistics 4643 Introduction To Stochastic Processes 1 Problem The Failure Rate Functions Of Weibull 1 (38.2 KiB) Viewed 45 times

MODIFIED WEIBULL STATISTICS 4643 - INTRODUCTION TO STOCHASTIC PROCESSES 1. PROBLEM The failure rate functions of Weibull type all satisfy h(0) distribution, with failure rate function = 0. Consider a modified version of the Weibull h(t) = B+ At-1 a,B,X>0 • Calculate the reliability function R(t) for this distribution. R(t) = exp p{ [ ^ h(y) dy} Is this function DFR or IFR? If it can be either, state the conditions for each. • What is the corresponding density function, f(t, a, 3, X) • Plot the density for at least 3 interesting sets of {a,B,A)} values. from Goodman, Exercise 12.4