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313797

Necessary and Sufficient Conditions for Stochastic Convergence of the Kernel Estimation of the Intensity Function of Non-Homogeneous Poisson Process in R²

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Last updated: 05 Jan 2025

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Abstract

The intensity function of the non-homogeneous Poisson process, that is defined on R² will be estimated by using kernel method, and it will be searched for necessary and sufficient conditions to have a uniform convergence in probability, almost sure, and almost completely sure.  

DOI

10.21608/esju.2002.313797

Keywords

Intensity Function, Non, Homogeneous Poisson Process, Kernel Method, Uniform Convergence in Probability, Almost Sure Convergence

Volume

46

Article Issue

2

Related Issue

43026

Issue Date

2002-12-01

Publish Date

2002-12-01

Page Start

167

Page End

191

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313797.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313797

Order

5

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Necessary and Sufficient Conditions for Stochastic Convergence of the Kernel Estimation of the Intensity Function of Non-Homogeneous Poisson Process in R²

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Type

Article

Created At

28 Dec 2024