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

Livasoa Andriamampionona (), Victor Harison and Michel Harel
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Livasoa Andriamampionona: Department of Mathematics and Informatics, University of Antananarivo, Antananarivo 101, Madagascar
Victor Harison: Department of Mathematics and Informatics, University of Antananarivo, Antananarivo 101, Madagascar
Michel Harel: INSPÉ de Limoges, Université de Limoges, 87036 Limoges, CEDEX 3, France

Mathematics, 2023, vol. 11, issue 19, 1-13

Abstract: 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.

Keywords: random fields; renewal function; renewal process; asymptotic normality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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