ESTIMATING THE EDGE OF A POISSON-PROCESS BY ORTHOGONAL SERIES

被引：16

作者：

JACOB, P ^{[1
]}

SUQUET, C ^{[1
]}

机构：

[1] UNIV SCI & TECH LILLE FLANDRES ARTOIS,UFR MATH,STAT & PROBABILITES LAB,F-59655 VILLENEUVE DASCQ,FRANCE

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1995年 / 46卷 / 02期

关键词：

POISSON PROCESS; PATTERN RECOGNITION; ORTHOGONAL FUNCTIONS;

D O I：

10.1016/0378-3758(94)00103-3

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：

Let a homogeneous Poisson process with support delimited by the axis and the graph of a function f defined on [0, 1]. We study the asymptotical properties of a class of estimators of f obtained by the method of orthogonal functions. We give sufficient conditions for uniform convergences, we prove the asymptotical normality of the multivariate distributions and we find confidence intervals.

引用

页码：215 / 234

页数：20

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