Estimation of the hazard rate function in the presence of measurement errors

In this article, according to the importance of the hazard rate function criterion in theevaluation of statistical distributions, its estimation methods are presented. Here, we suggestestimators for the hazard rate function. First, we use the standard deconvolution kerneldensity estimator and sugges...

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Bibliographic Details
Main Authors: Parviz Nasiri, Roghaieh Kheirazar, Abbas Rasouli, Ali Shadrokh
Format: Article
Language:English
Published: Allameh Tabataba'i University Press 2023-09-01
Series:Mathematics and Modeling in Finance
Subjects:
Online Access:https://jmmf.atu.ac.ir/article_16141_8d4a6fb540f82f1bfd090dc3911d9a05.pdf
Description
Summary:In this article, according to the importance of the hazard rate function criterion in theevaluation of statistical distributions, its estimation methods are presented. Here, we suggestestimators for the hazard rate function. First, we use the standard deconvolution kerneldensity estimator and suggest a plug-in estimator. In the following we investigate asymptoticbehavior of our estimator. For another estimator, we construct the new estimation thehazard rate function according plug-in and CDF. Finally, we consider the performance ofthe suggested estimators by simulation. Mean square error of estimators λˆ(t, p), λˆ(t) and λˆc(t) present in tables 1 till 6.
ISSN:2783-0578
2783-056X