MDE properties of a Poisson process with discontinuous intensity

The problem considered is a problem parameter estimation of a 2d-dimensional parameter of a Poisson process. The intensity function of the process is a smooth function with respect to first d variables and is discontinuous function of d other variables. We show the consistency and asymptotic normali...

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Veröffentlicht in:Comptes rendus. Mathématique 2006-03, Vol.342 (6), p.431-436
1. Verfasser: Dabye, Ali Souleyman
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container_title Comptes rendus. Mathématique
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creator Dabye, Ali Souleyman
description The problem considered is a problem parameter estimation of a 2d-dimensional parameter of a Poisson process. The intensity function of the process is a smooth function with respect to first d variables and is discontinuous function of d other variables. We show the consistency and asymptotic normality of the minimum distance estimator.
doi_str_mv 10.1016/j.crma.2005.07.024
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title MDE properties of a Poisson process with discontinuous intensity
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