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자연과학대학
통계학전공
Journal papers
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On optimal grouping and stochastic comparisons for heterogeneous items
Title
On optimal grouping and stochastic comparisons for heterogeneous items
Authors
Hazra N.K.
;
Finkelstein M.
;
Cha J.H.
Ewha Authors
차지환
SCOPUS Author ID
차지환
Issue Date
2017
Journal Title
Journal of Multivariate Analysis
ISSN
0047-259X
Citation
Journal of Multivariate Analysis vol. 160, pp. 146 - 156
Keywords
Majorization order
;
Parallel system
;
Reliability
;
Schur-convex/concave function
;
Series system
;
Stochastic orders
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
In this paper, we consider series and parallel systems composed of n independent items drawn from a population consisting of m different substocks/subpopulations. We show that for a series system, the optimal (maximal) reliability is achieved by drawing all items from one substock, whereas, for a parallel system, the optimal solution results in an independent drawing of all items from the whole mixed population. We use the theory of stochastic orders and majorization orders to prove these and more general results. We also discuss possible applications and extensions. © 2017 Elsevier Inc.
DOI
10.1016/j.jmva.2017.06.006
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