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Residual Life (residual + life)

Distribution by Scientific Domains
Mathematics and Statistics100%

Selected Abstracts

ON THE CHANGE POINT OF THE MEAN RESIDUAL LIFE OF SERIES AND PARALLEL SYSTEMS

AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, Issue 1 2010
Yan Shen
Summary This paper considers the mean residual life in series and parallel systems with independent and identically distributed components and obtains relationships between the change points of the mean residual life of systems and that of their components. Compared with the change point for single components, should it exists, the change point for a series system occurs later. For a parallel system, however, the change point is located before that for the components, if it exists at all. Moreover, for both types of systems, the distance between the change points of the mean residual life for systems and for components increases with the number of components. These results are helpful in the determination of optimal burn-in time and related decision making in reliability analysis. [source]

Some stochastic comparisons of conditional coherent systems

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, Issue 6 2008
Xiaohu Li
Abstract This paper investigates coherent systems with independent and identical components. Stochastic comparison on the residual life and the inactivity time of two systems with stochastically ordered signatures is conducted. Copyright © 2008 John Wiley & Sons, Ltd. [source]

Aging properties of the residual life length of k -out-of- n systems with independent but non-identical components

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, Issue 2 2004
Xiaohu Li
Abstract The k -out-of- n structure is a very popular type of redundancy in fault-tolerant systems, it has founded wide applications in industrial and military systems during the past several decades. This paper will investigate the residual life length of a k -out-of- n system with independent (not necessarily identical) components, given that the (n,k)th failure has occurred at time t,0. Behaviour of PF2, IFR, DRHR, DMRL, NBU(2) and NBUC classes of life distributions are derived in terms of the monotonicity of the residual life given the time of the (n,k)th failure. Copyright © 2004 John Wiley & Sons, Ltd. [source]

On the shape of the mean residual lifetime function

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, Issue 2 2002
M. S. Finkelstein
Abstract Some general properties of the mean residual life (MRL) function are studied. The analysis is based on the shape of the corresponding failure rate. The conditions under which the failure rate and the reciprocal to the MRL function have asymptotically equivalent behaviour as t,, are discussed. The simplest non-monotone shapes of the functions under consideration (bathtub and upside down bathtub) are also considered. The MRL functions for mixtures of distributions are described via the corresponding conditional probability density functions. The direct proportional model of mixing is characterized and some asymptotic results on the shape of the mixture MRL are obtained. Some simple examples are given. Copyright © 2002 John Wiley & Sons, Ltd. [source]

ON THE CHANGE POINT OF THE MEAN RESIDUAL LIFE OF SERIES AND PARALLEL SYSTEMS

AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, Issue 1 2010
Yan Shen
Summary This paper considers the mean residual life in series and parallel systems with independent and identically distributed components and obtains relationships between the change points of the mean residual life of systems and that of their components. Compared with the change point for single components, should it exists, the change point for a series system occurs later. For a parallel system, however, the change point is located before that for the components, if it exists at all. Moreover, for both types of systems, the distance between the change points of the mean residual life for systems and for components increases with the number of components. These results are helpful in the determination of optimal burn-in time and related decision making in reliability analysis. [source]

A multivariate IFR notion based on the multivariate dispersive ordering

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, Issue 3 2009
José Pablo Arias-Nicolás
Abstract In this paper we present a definition of multivariate increasing failure rate based on the concept of multivariate dispersion. This new definition is an extension of the univariate characterization of increasing failure rate distributions under dispersive ordering of the residual lives. We study this definition in the Clayton,Oakes model and the family of generalized order statistics. Copyright © 2009 John Wiley & Sons, Ltd. [source]