Premium
ON THE CHANGE POINT OF THE MEAN RESIDUAL LIFE OF SERIES AND PARALLEL SYSTEMS
Author(s) -
Shen Yan,
Xie Min,
Tang Loon Ching
Publication year - 2010
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/j.1467-842x.2010.00569.x
Subject(s) - residual , mathematics , series (stratigraphy) , point (geometry) , independent and identically distributed random variables , statistics , reliability (semiconductor) , algorithm , random variable , geometry , paleontology , power (physics) , physics , quantum mechanics , biology
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.