Estimation of parameters and reliability characteristics in self relocated design under generalized inverted scale family of distributions (GIFD)

Abstract

In this paper, we study self-relocated experimental design, when the lifetimes of the systems follow generalized inverted scale family of distributions (GIFD).We consider maximum likelihood estimations (MLEs) of the scale and shape parameters. We study generalized inverted exponential distribution (GIED) as a special case. Extensive simulations experiments are conducted to study the performances of the proposed estimators, and also to verify the small sample behavior of the estimators based on asymptotic results. Further, we study the optimality of the self-relocated design and generalized type-II censoring scheme. Finally we carry out some cost analysis also, based on simulation study.