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MULTIVARIATE SURVIVAL DISTRIBUTIONS OF AGE AND RESIDUAL LIFETIME PROCESSES IN NONHOMOGENEOUS POISSON PROCESS

MULTIVARIATE SURVIVAL DISTRIBUTIONS OF AGE AND RESIDUAL LIFETIME PROCESSES IN NONHOMOGENEOUS POISSON PROCESS
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摘要 Let {V(t),t≤0} be the nonhomogeneous Poisson process with cumulative intensituy parameter A(t). |δ,t≥0 the, age process, and y, t≥0} the residual lifetime process. In the present-paper the expressions of n-dimensional survival distribution functions of the processes {δ and γ, and their Lebesgue decompositions are derived. Let {V(t),t≤0} be the nonhomogeneous Poisson process with cumulative intensituy parameter A(t). |δ,t≥0 the, age process, and y, t≥0} the residual lifetime process. In the present-paper the expressions of n-dimensional survival distribution functions of the processes {δ and γ, and their Lebesgue decompositions are derived.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1993年第2期198-210,共13页 高校应用数学学报(英文版)(B辑)
基金 Supported partly by Aeronautical Science Foundation of China
关键词 Nonhomogeneous Poisson Process Age Process. Residual Lifetime Process SurvivalDistribution Function. Lebesgue Decomposition. Nonhomogeneous Poisson Process, Age Process. Residual Lifetime Process, SurvivalDistribution Function. Lebesgue Decomposition.
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