Interval shrinkage estimation of two-parameter exponential distribution with random censored data

The use of the two-parameter exponential distribution model in fitting survival and reliability analysis data in the presence of censored random data has recently attracted the attention of a large number of authors. Considering the importance of the model, its parameter estimation is discussed usin...

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Main Authors: Ali Soori, Parviz Nasiri, Mehdi Jabbari Nooghabi, Farshin Hormozinejad, Mohammadreza Ghalani
Format: Article
Language:English
Published: Shahid Bahonar University of Kerman 2025-01-01
Series:Journal of Mahani Mathematical Research
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Online Access:https://jmmrc.uk.ac.ir/article_4428_c2729d46e5814953234d7a3007299fe7.pdf
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author Ali Soori
Parviz Nasiri
Mehdi Jabbari Nooghabi
Farshin Hormozinejad
Mohammadreza Ghalani
author_facet Ali Soori
Parviz Nasiri
Mehdi Jabbari Nooghabi
Farshin Hormozinejad
Mohammadreza Ghalani
author_sort Ali Soori
collection DOAJ
description The use of the two-parameter exponential distribution model in fitting survival and reliability analysis data in the presence of censored random data has recently attracted the attention of a large number of authors. Considering the importance of the model, its parameter estimation is discussed using the method of moment, maximum likelihood and shrinkage estimation. To present the interval shrinkage estimator, it is first proved that the moment estimators are asymptotically unbiased and the interval shrinkage estimator performs better compared to other estimators. Finally, using two real data sets and statistical criteria, the goodness of fit of the model is compared with censored random data based on parameter estimation methods.
format Article
id doaj-art-7006ef211caa4ae4adac1da664c8d332
institution Kabale University
issn 2251-7952
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language English
publishDate 2025-01-01
publisher Shahid Bahonar University of Kerman
record_format Article
series Journal of Mahani Mathematical Research
spelling doaj-art-7006ef211caa4ae4adac1da664c8d3322025-01-04T19:30:18ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052025-01-0114112113610.22103/jmmr.2024.22595.15434428Interval shrinkage estimation of two-parameter exponential distribution with random censored dataAli Soori0Parviz Nasiri1Mehdi Jabbari Nooghabi2Farshin Hormozinejad3Mohammadreza Ghalani4Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.Department of Statistics, Payam Noor University, 4697-19395, Tehran, IranDepartment of Statistics, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.The use of the two-parameter exponential distribution model in fitting survival and reliability analysis data in the presence of censored random data has recently attracted the attention of a large number of authors. Considering the importance of the model, its parameter estimation is discussed using the method of moment, maximum likelihood and shrinkage estimation. To present the interval shrinkage estimator, it is first proved that the moment estimators are asymptotically unbiased and the interval shrinkage estimator performs better compared to other estimators. Finally, using two real data sets and statistical criteria, the goodness of fit of the model is compared with censored random data based on parameter estimation methods.https://jmmrc.uk.ac.ir/article_4428_c2729d46e5814953234d7a3007299fe7.pdftwo-parameter exponential distributionrandom censoringinterval shrinkage estimationgoodness of fitmean squared error
spellingShingle Ali Soori
Parviz Nasiri
Mehdi Jabbari Nooghabi
Farshin Hormozinejad
Mohammadreza Ghalani
Interval shrinkage estimation of two-parameter exponential distribution with random censored data
Journal of Mahani Mathematical Research
two-parameter exponential distribution
random censoring
interval shrinkage estimation
goodness of fit
mean squared error
title Interval shrinkage estimation of two-parameter exponential distribution with random censored data
title_full Interval shrinkage estimation of two-parameter exponential distribution with random censored data
title_fullStr Interval shrinkage estimation of two-parameter exponential distribution with random censored data
title_full_unstemmed Interval shrinkage estimation of two-parameter exponential distribution with random censored data
title_short Interval shrinkage estimation of two-parameter exponential distribution with random censored data
title_sort interval shrinkage estimation of two parameter exponential distribution with random censored data
topic two-parameter exponential distribution
random censoring
interval shrinkage estimation
goodness of fit
mean squared error
url https://jmmrc.uk.ac.ir/article_4428_c2729d46e5814953234d7a3007299fe7.pdf
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AT mehdijabbarinooghabi intervalshrinkageestimationoftwoparameterexponentialdistributionwithrandomcensoreddata
AT farshinhormozinejad intervalshrinkageestimationoftwoparameterexponentialdistributionwithrandomcensoreddata
AT mohammadrezaghalani intervalshrinkageestimationoftwoparameterexponentialdistributionwithrandomcensoreddata