On minimum Lp-distance estimation for inhomogeneous Poisson processes

被引：3

作者：

Ba, Demba Bocar ^{[1
]}

Dabye, Ali Souleymane ^{[2
]}

机构：

[1] Univ Thies, UFR Sci & Technol, Thies, Senegal

[2] Univ Gaston Berger, UFR Sci Appl & Technol, St Louis, Senegal

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2016年 / 45卷 / 21期

关键词：

Minimum distance estimation; L-p Metrics; Inhomogeneous Poisson processes; Parameter estimation;

D O I：

10.1080/03610926.2014.927503

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider the problem of parameter estimation by the observations of the inhomogeneous Poisson processes. We suppose that the intensity function of these processes is a smooth function of the unknown parameter and as a method of estimation we take the minimum distance approach. We are interested by the behavior of estimators in non Hilbertian situation and we define the minimum distance estimation (MDE) with the help of the L-p metrics. We show that (under regularity conditions) the MDE is consistent and we describe its limit distribution.

引用

页码：6461 / 6470

页数：10

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