Abstract : Marshall and Proschan showed that the MLE for a life distribution with increasing failure rate is strongly consistent (Ann. Math. Statist., 1965, 36, 69-77). In this note the author shows… Expand

Criteria for determining whether or not a function preserves the vector ordering is presented, i.e. whether the related test of constant hazard rate versus IHR or IHRA is unbiased.Expand

Abstract : Optimal sequential designs are investigated for experiments to test whether a device subjected to a standard stress has an expected lifetime exceeding a specified value. It is assumed that… Expand

T HIS paper presents a large-sample, non-parametric test using grouped data. It applies when x and y are random variables with continuous cumulative distribution functions (c.d.f.'s) F(x) and G(y). A… Expand

It Is often necessary to predict the reliability of a system when only the mean lifetimes of its components are known. Then it is usually assumed that each component has a constant failure rate… Expand