A transformation for testing the fit of an exponential order statistics model

Larry Lee and George B. Finelli

Stochastic Processes and their Applications, 1989, vol. 33, issue 2, 299-307

Abstract: The exponential model of Jelinski and Moranda (1972) is one of the earliest models proposed for predicting software reliability. A test of fit procedure, based on the conditional probability integral transformation of O'Reilly and Quesenberry (1973), is proposed in which a set of ordered failure times can be transformed to a vector of independent random variables that are uniformly distributed on the interval (0,1 ). The new variates are shown, through simulation, to have distinctly nonuniform distributions under an alternative family of models. Applications to censored and truncated sampling as well as to other related models are discussed.

Keywords: exponential; order; statistics; model; Jelinski-Moranda; model; conditional; probability; integral; transformation; test; of; fit; Poisson; model; with; log; linear; rate; function; linear; pure; birth; process (search for similar items in EconPapers)
Date: 1989
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