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.
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页数：13
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