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Article Dans Une Revue Methodology and Computing in Applied Probability Année : 2017

Approximate simulation techniques and distribution of an extended Gamma process

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In reliability theory, many papers use a standard Gamma process to model the evolution of the cumulative deterioration of a system over time. When the variance-to-mean ratio of the system deterioration level varies over time, the standard Gamma process is not convenient any more because it provides a constant ratio. A way to overcome this restriction is to consider the extended version of a Gamma process proposed by Cinlar (1980). However , based on its technicality, the use of such a process for applicative purpose requires the preliminary development of technical tools for simulating its paths and for the numerical assessment of its distribution. This paper is devoted to these two points.
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hal-01247062 , version 1 (27-12-2015)

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Zeina Al Masry, Sophie Mercier, Ghislain Verdier. Approximate simulation techniques and distribution of an extended Gamma process. Methodology and Computing in Applied Probability, 2017, 19 (1), pp.213-235. ⟨10.1007/s11009-015-9474-3⟩. ⟨hal-01247062⟩
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