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Stochastic ordering for populations of manufactured items
Hazra N.K.
,
Finkelstein M.
,
Cha J.H.
Test
[1133-0686] 2017 , 1-24
주제(키워드)
:
Equilibrium distribution
,
Random age
,
Stationary population
,
Stochastic ageing classes
,
Stochastic orders
등재
: SCIE, SCOPUS
발행기관
:
Springer New York LLC
발행년도
: 2017
URI
:
http://www.dcollection.net/handler/ewha/000000145599
본문언어
: 영어
Published As
:
http://dx.doi.org/10.1007/s11749-017-0539-1
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 produc ...
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
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