Preservation properties of a homogeneous Poisson process stopped at an independent random time (Q419181)

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scientific article; zbMATH DE number 6036280
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Preservation properties of a homogeneous Poisson process stopped at an independent random time
scientific article; zbMATH DE number 6036280

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    Preservation properties of a homogeneous Poisson process stopped at an independent random time (English)
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    18 May 2012
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    The authors introduce some new notions of aging. They identify conditions under which homogeneous Poisson processes, that are stopped at random times, have these properties. They also obtain preservation properties of Poisson shock models for some of the studied aging notions.
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    mean inactivity time
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    variance of inactivity time
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    increasing mean inactivity time
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    increasing variance inactivity time
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    totally positive functions of order two
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