Exact Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censored Competing Risks Data

Exact Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censored Competing Risks Data

It is known that the lifetimes of items may not be recorded exactly. In addition, it is known that more than one risk factor (RisF) may be present at the same time. In this paper, we discuss exact likelihood inference for competing risk model (CoRiM) with generalized adaptive progressive hybrid cens...

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Bibliographic Details
Main Authors: Youngseuk Cho, Kyeongjun Lee
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Symmetry
Subjects:
competing risk
exact likelihood inference
exponential distribution
generalized adaptive progressive hybrid censoring
Online Access:https://www.mdpi.com/2073-8994/12/12/2005
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spelling doaj-35ddc54311214ee5868da1a7cdf147062020-12-05T00:05:36ZengMDPI AGSymmetry2073-89942020-12-01122005200510.3390/sym12122005Exact Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censored Competing Risks DataYoungseuk Cho0Kyeongjun Lee1Department of Statistics, Pusan National University, Busan 46241, KoreaDivision of Mathematics and Big Data Science, Daegu University, Gyeongsangbuk-do 38453, KoreaIt is known that the lifetimes of items may not be recorded exactly. In addition, it is known that more than one risk factor (RisF) may be present at the same time. In this paper, we discuss exact likelihood inference for competing risk model (CoRiM) with generalized adaptive progressive hybrid censored exponential data. We derive the conditional moment generating function (ConMGF) of the maximum likelihood estimators of scale parameters of exponential distribution (ExpD) and the resulting lower confidence bound under generalized adaptive progressive hybrid censoring scheme (GeAdPHCS). From the example data, it can be seen that the PDF of MLE is almost symmetrical.https://www.mdpi.com/2073-8994/12/12/2005competing riskexact likelihood inferenceexponential distributiongeneralized adaptive progressive hybrid censoring
collection DOAJ
language English
format Article
sources DOAJ
author Youngseuk Cho
Kyeongjun Lee
spellingShingle Youngseuk Cho
Kyeongjun Lee
Exact Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censored Competing Risks Data
Symmetry
competing risk
exact likelihood inference
exponential distribution
generalized adaptive progressive hybrid censoring
author_facet Youngseuk Cho
Kyeongjun Lee
author_sort Youngseuk Cho
title Exact Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censored Competing Risks Data
title_short Exact Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censored Competing Risks Data
title_full Exact Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censored Competing Risks Data
title_fullStr Exact Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censored Competing Risks Data
title_full_unstemmed Exact Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censored Competing Risks Data
title_sort exact inference for an exponential parameter under generalized adaptive progressive hybrid censored competing risks data
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-12-01
description It is known that the lifetimes of items may not be recorded exactly. In addition, it is known that more than one risk factor (RisF) may be present at the same time. In this paper, we discuss exact likelihood inference for competing risk model (CoRiM) with generalized adaptive progressive hybrid censored exponential data. We derive the conditional moment generating function (ConMGF) of the maximum likelihood estimators of scale parameters of exponential distribution (ExpD) and the resulting lower confidence bound under generalized adaptive progressive hybrid censoring scheme (GeAdPHCS). From the example data, it can be seen that the PDF of MLE is almost symmetrical.
topic competing risk
exact likelihood inference
exponential distribution
generalized adaptive progressive hybrid censoring
url https://www.mdpi.com/2073-8994/12/12/2005
work_keys_str_mv AT youngseukcho exactinferenceforanexponentialparameterundergeneralizedadaptiveprogressivehybridcensoredcompetingrisksdata
AT kyeongjunlee exactinferenceforanexponentialparameterundergeneralizedadaptiveprogressivehybridcensoredcompetingrisksdata
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