Optimal substitution of arguments of an arrangement increasing function based on sufficient statistics for parameter-arguments

Abstract

The aim of this paper is to find conditions under which the optimal permutation of arguments of the (goal) multivariate arrangement increasing function of parameters of distributions must be realized according to the same rule as that for the case where the ordering of parameter-arguments is the same as the ordering of the corresponding sufficient statistics. These results are used in problems of maximization of reliability of systems based on test results for their components. Bibliography: 16 titles.