Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data

Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data

This paper introduces a new lifetime distribution by mixing the first two lower record values and various distributional properties are examined. Statistical inference on distribution parameters are discussed with five estimators. A Monte Carlo simulation study is carried out to evaluate the risk be...

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Main Authors: Caner Tanış, Buğra Saraçoğlu, Coşkun Kuş, Ahmet Pekgör, Kadir Karakaya
Format: Article
Language:English
Published: Atlantis Press 2021-01-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
Fréchet distribution
Lower records
Point estimates
Lifetime regression
Online Access:https://www.atlantis-press.com/article/125951774/view
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spelling doaj-6307015916e14b0e8c69fd437e4460e12021-03-16T16:32:17ZengAtlantis PressJournal of Statistical Theory and Applications (JSTA)2214-17662021-01-0120110.2991/jsta.d.210115.001Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored DataCaner TanışBuğra SaraçoğluCoşkun KuşAhmet PekgörKadir KarakayaThis paper introduces a new lifetime distribution by mixing the first two lower record values and various distributional properties are examined. Statistical inference on distribution parameters are discussed with five estimators. A Monte Carlo simulation study is carried out to evaluate the risk behavior of these estimators for different sample of sizes. The distribution modeling analysis is provided based on real data to demonstrate the fitting ability of the proposed model. In addition, a lifetime regression model is described by re-parameterization on the log lifetimes. The superiority of proposed regression model is revealed in well-known models.https://www.atlantis-press.com/article/125951774/viewFréchet distributionLower recordsPoint estimatesLifetime regression
collection DOAJ
language English
format Article
sources DOAJ
author Caner Tanış
Buğra Saraçoğlu
Coşkun Kuş
Ahmet Pekgör
Kadir Karakaya
spellingShingle Caner Tanış
Buğra Saraçoğlu
Coşkun Kuş
Ahmet Pekgör
Kadir Karakaya
Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data
Journal of Statistical Theory and Applications (JSTA)
Fréchet distribution
Lower records
Point estimates
Lifetime regression
author_facet Caner Tanış
Buğra Saraçoğlu
Coşkun Kuş
Ahmet Pekgör
Kadir Karakaya
author_sort Caner Tanış
title Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data
title_short Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data
title_full Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data
title_fullStr Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data
title_full_unstemmed Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data
title_sort transmuted lower record type fréchet distribution with lifetime regression analysis based on type i-censored data
publisher Atlantis Press
series Journal of Statistical Theory and Applications (JSTA)
issn 2214-1766
publishDate 2021-01-01
description This paper introduces a new lifetime distribution by mixing the first two lower record values and various distributional properties are examined. Statistical inference on distribution parameters are discussed with five estimators. A Monte Carlo simulation study is carried out to evaluate the risk behavior of these estimators for different sample of sizes. The distribution modeling analysis is provided based on real data to demonstrate the fitting ability of the proposed model. In addition, a lifetime regression model is described by re-parameterization on the log lifetimes. The superiority of proposed regression model is revealed in well-known models.
topic Fréchet distribution
Lower records
Point estimates
Lifetime regression
url https://www.atlantis-press.com/article/125951774/view
work_keys_str_mv AT canertanıs transmutedlowerrecordtypefrechetdistributionwithlifetimeregressionanalysisbasedontypeicensoreddata
AT bugrasaracoglu transmutedlowerrecordtypefrechetdistributionwithlifetimeregressionanalysisbasedontypeicensoreddata
AT coskunkus transmutedlowerrecordtypefrechetdistributionwithlifetimeregressionanalysisbasedontypeicensoreddata
AT ahmetpekgor transmutedlowerrecordtypefrechetdistributionwithlifetimeregressionanalysisbasedontypeicensoreddata
AT kadirkarakaya transmutedlowerrecordtypefrechetdistributionwithlifetimeregressionanalysisbasedontypeicensoreddata
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