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Stochastic ordering for populations of manufactured items

Title
Stochastic ordering for populations of manufactured items
Authors
Hazra N.K.Finkelstein M.Cha J.H.
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2017
Journal Title
Test
ISSN
1133-0686JCR Link
Citation
pp. 1 - 24
Keywords
Equilibrium distributionRandom ageStationary populationStochastic ageing classesStochastic orders
Publisher
Springer New York LLC
Indexed
SCIE; SCOPUS scopus
Abstract
We develop a theory of stochastic orders for the age and the residual (remaining) lifetime for populations of manufactured identical items. The obtained theoretical results can be used by manufacturers or users for the justified decisions with respect to, e.g., the increase or decrease in the production rate or with respect to the necessary maintenance actions. Specifically, we show that if the random age of a population is smaller (resp. larger) in some stochastic sense than the defined equilibrium age, then it is also smaller (resp. larger) than the corresponding residual lifetime with respect to different stochastic orders. We discuss various stochastic comparisons between the random age and the residual lifetime for one or more populations. Some ageing properties of the random age and the residual lifetime have also been studied. © 2017 Sociedad de Estadística e Investigación Operativa
DOI
10.1007/s11749-017-0539-1
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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