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Computation and applications of geometric mixtures of convolutions
Author(s) -
Neuts Marcel F.
Publication year - 1988
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(198808)35:4<529::aid-nav3220350407>3.0.co;2-8
Subject(s) - geometric distribution , computation , warranty , bounded function , distribution (mathematics) , computer science , process (computing) , renewal theory , probability distribution , mathematical optimization , mathematics , algorithm , mathematical analysis , statistics , political science , law , operating system
We consider the probability distribution of the waiting time until a lifetime in excess of T occurs in a renewal process. That distribution is a geometric mixture of the successive convolutions of a distribution with bounded support. Algorithms are developed for certain broad classes of lifetime distributions. Applications to warranty policies are discussed.