Statistical Theory with Applications for the Multicomponent Stress-Strength Reliability for a Unified Set of Distributions

Abstract

In this work we focus on the stress-strength reliability for a multicomponent system for a general set of distributions. The set is proposed to unify under the same umbrella, several of the classical distributions frequently encountered in reliability theory. The multicomponent stress-strength reliability is defined and evaluated for the case of the proposed unified set of distributions. The theoretical results explore inferential statistics including point and interval estimation, the relevant asymptotic theory and properties for some special multicomponent systems. Examples and real case applications are provided for illustrative purposes.

Keywords

• unified set of distributions
• s-out-of-k system
• multicomponent system
• stress-strength reliability
• reliability theory