ESTIMATION OF THE CHANGE POINT OF THE GENERALIZED FAILURE RATE FUNCTION

Abstract
The change point of a function is defined to be the point (assumed unique) that minimizes or maximizes the function. Fixed and narrow 'window' estimators are proposed and studied for the change point of the generalized failure rate function r(x) = f(x)/g(F(x)/G) where F and G are distributions with densities f and g, respectively. A computer program has been written in FORTRAN IV to obtain estimates of the change point of density and failure rate functions. Several numerical investigations have indicated the superiority of a particular estimator in the case of small samples.

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