Let T denote the lifelength of a component, the distribution of which, conditional on a parameter y, is known. It is supposed that y is a realization of nonnegative stochastic process {Y,t[greater-or-equal, slanted]0}, reflecting random variation in the environment in which the component is...

Bounds on the uniform distance between a [chi]22n distribution and the distribution of 2[Sigma]ni = 1 Xi/[mu], where X1, X2,..., Xn are n independent, identically distributed nonnegative random variables with common mean [mu], are derived assuming that the Xi's are HNBUE or HNWUE or that a...

Consider a binary coherent system of nonrepairable components, the lifelength distributions of which lie in the single parameter exponential family of distributions. Given observations of the lifelengths of the constituent components, it is shown how inversion of the likelihood ratio test can be...