Asymptotic Behavior of a Nonparametric Estimator of the Renewal Function for Random Fields

被引：1

作者：

Andriamampionona, Livasoa ^{[1
]}

Harison, Victor ^{[1
]}

Harel, Michel ^{[2
,3
,4
]}

机构：

[1] Univ Antananarivo, Dept Math & Informat, Antananarivo 101, Madagascar

[2] Univ Limoges, INSPE Limoges, F-87036 Limoges 3, France

[3] Inst Math Toulouse, UMR5219 UPS, F-31062 Toulouse 9, France

[4] Fac Medecine, Lab Vie Sante, UR 24 134, F-24134 Limoges, France

来源：

MATHEMATICS | 2023年 / 11卷 / 19期

关键词：

random fields; renewal function; renewal process; asymptotic normality;

D O I：

10.3390/math11194048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the asymptotic normality of a nonparametric estimator of the renewal function associated with a sequence of absolutely continuous nonnegative two-dimensional random fields. We prove that this estimator is asymptotically unbiased. The asymptotic normality of this estimator is established.

引用

页数：13

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