The main goal of this article is to generalize the bivariate lack-of-memory property introduced in Marshall & Olkin (1967). Several characterizations of bivariate continuous distributions possessing such a property are established and illustrated by examples.

In this paper we study Arnold's (1987, Statist. Probab. Lett.5, 263-266) class of bivariate distributions with Pareto conditionals from a reliability point of view. Failure rates and mean residual life function of the marginal distributions and their monotonic properties are studied. The hazard...

The time-between-event (TBE) charts are used to monitor the failure rate λ by examining the time interval T between events. This article proposes a two-sided CUSUM chart (the balanced two-sided CUSUM chart) for detecting both increasing and decreasing shifts in λ. The performance studies show...

Purpose – The purpose of this paper is to demonstrate a tactical approach to cope with the issues related to low availability of repairable machines or systems because of their poor reliability and maintainability. It not only explores the significance of availability, but also embarks upon a...

Purpose – The purpose of this paper is to compare four life data models, namely the exponential and the Weibull models, and their corresponding generalized versions, q -exponential and q -Weibull models, by means of one practical application. Design/methodology/approach – Application of the...

Purpose – The purpose of this paper is to present age-based replacement models subject to shocks and failure rate in order to determine the optimal replacement cycle. As a result, according to system reliability, maintenance costs of the system are to be minimized. Design/methodology/approach...

Purpose – The purpose of this paper is to analyze mathematical aspects of the q‐Weibull model and explore the influence of the parameter q. Design/methodology/approach – The paper uses analytical developments with graph illustrations and an application to a practical example. Findings –...