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On stochastic comparisons for population age and remaining lifetime

Title
On stochastic comparisons for population age and remaining lifetime
Authors
Cha J.H.Finkelstein M.
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2016
Journal Title
Statistical Papers
ISSN
0932-5026JCR Link
Citation
pp. 1 - 15
Keywords
Equilibrium distributionRandom initial ageStable populationStationary populationStochastic ordering
Publisher
Springer New York LLC
Indexed
SCIE; SCOPUS scopus
Abstract
First, we consider items that are incepted into operation having already a random (initial) age and define the corresponding remaining lifetime. We show that these random variables are identically distributed when the age distribution is equal to the equilibrium distribution of the renewal theory. Then we consider real populations of items that were incepted into operation (were born) at different instants of time and obtain some useful inequalities between the population age and the remaining lifetime using reasoning similar to that employed in population studies. We also discuss the aging properties of populations using different stochastic orders. © 2016 Springer-Verlag Berlin Heidelberg
DOI
10.1007/s00362-016-0759-6
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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