Estimation variances for Poisson processes of compact sets

被引：5

作者：

Mrkvicka, T ^{[1
]}

机构：

[1] Charles Univ, Fac Math & Phys, Prague 18675 8, Czech Republic

来源：

ADVANCES IN APPLIED PROBABILITY | 2001年 / 33卷 / 04期

关键词：

complete statistic; intensity estimation; Poisson process; Rao-Blackwell theorem; segment process; sufficient statistic; Boolean model;

D O I：

10.1017/S0001867800011186

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：

A complete and sufficient statistic is found for various stationary Poisson processes of compact sets with known primary grain. In the particular case of a segment process, the uniformly best unbiased estimator for the length density is the number of segments hitting the sampling window divided by a certain constant and multiplied by the mean segment length.

引用

页码：765 / 772

页数：8

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