Reliability of a standby system with beta-distributed component lives

Abstract

The exact distribution of the sum of 2 independent beta variables is presented. It is applied to a standby system with beta-distributed component lives and permits the calculation of its exact reliability when the exact parameters-values are known. It appreciably improves the current approximate method.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>