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Published in: Annals of Data Science 1/2020

01-07-2019

Estimation in Constant Stress Partially Accelerated Life Tests for Weibull Distribution Based on Censored Competing Risks Data

Authors: Amal S. Hassan, Said G. Nassr, Sukanta Pramanik, Sudhansu S. Maiti

Published in: Annals of Data Science | Issue 1/2020

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Abstract

This article deals with the constant–stress partially accelerated life test using type I and type II censored data in the presence of competing failure causes. Suppose that the occurrence time of the failure cause follows Weibull distribution. Maximum likelihood technique is employed to estimate the population parameters of the distribution. The performance of the theoretical estimators of the parameters are evaluated and investigated by using a simulation algorithm.

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Literature
1.
go back to reference Abdel-Ghani MM (1998) Investigations of some lifetime models under partially accelerated life tests. PhD thesis, Department of Statistics, Faculty of Economics and Political Science, Cairo University, Egypt Abdel-Ghani MM (1998) Investigations of some lifetime models under partially accelerated life tests. PhD thesis, Department of Statistics, Faculty of Economics and Political Science, Cairo University, Egypt
2.
go back to reference Abdel-Hamid AH (2009) Constant stress partially accelerated life tests for Burr type XII distribution with progressive type II censoring. Comput Stat Data Anal 53(7):2511–2523CrossRef Abdel-Hamid AH (2009) Constant stress partially accelerated life tests for Burr type XII distribution with progressive type II censoring. Comput Stat Data Anal 53(7):2511–2523CrossRef
3.
go back to reference Bai DS, Chung SW (1992) Optimal design of partially accelerated life tests for the exponential distribution under type I censoring. IEEE Trans Reliab 41:400–406CrossRef Bai DS, Chung SW (1992) Optimal design of partially accelerated life tests for the exponential distribution under type I censoring. IEEE Trans Reliab 41:400–406CrossRef
4.
go back to reference Bai DS, Chung SW, Chun YR (1993) Optimal design of partially accelerated life tests for the lognormal distribution under type I censoring. Reliab Eng Syst Saf 40(1):85–92CrossRef Bai DS, Chung SW, Chun YR (1993) Optimal design of partially accelerated life tests for the lognormal distribution under type I censoring. Reliab Eng Syst Saf 40(1):85–92CrossRef
5.
go back to reference Cox DR (1959) The analysis of exponentially distributed with two types of failure. J R Stat Ser B 21:411–421 Cox DR (1959) The analysis of exponentially distributed with two types of failure. J R Stat Ser B 21:411–421
6.
go back to reference Crowder MJ (2001) Classical competing risks model. Chapman & Hall/CRC, New YorkCrossRef Crowder MJ (2001) Classical competing risks model. Chapman & Hall/CRC, New YorkCrossRef
7.
go back to reference Haghighi F, Bae SJ (2015) Reliability estimation from linear degradation and failure time data with competing risks under a step-stress accelerated degradation test. IEEE Trans Reliab 64(3):960–971CrossRef Haghighi F, Bae SJ (2015) Reliability estimation from linear degradation and failure time data with competing risks under a step-stress accelerated degradation test. IEEE Trans Reliab 64(3):960–971CrossRef
8.
go back to reference Han D, Kundu D (2015) Inference for a step-stress model with competing risks for failure from the generalized exponential distribution under type-I censoring. IEEE Trans Reliab 64(1):31–43CrossRef Han D, Kundu D (2015) Inference for a step-stress model with competing risks for failure from the generalized exponential distribution under type-I censoring. IEEE Trans Reliab 64(1):31–43CrossRef
9.
go back to reference Hassan AS (2007) Estimation of the generalized exponential distribution parameters under constant stress partially accelerated life testing using type I censoring. Egypt Stat J Inst Stat Stud Res Cairo Univ 51(2):48–62 Hassan AS (2007) Estimation of the generalized exponential distribution parameters under constant stress partially accelerated life testing using type I censoring. Egypt Stat J Inst Stat Stud Res Cairo Univ 51(2):48–62
10.
go back to reference Hassan AS, Assar MS, Zaky AN (2015) Constant-stress partially accelerated life tests for inverted Weibull distribution with multiple censored data. Int J Adv Stat Probab 3(1):72–82CrossRef Hassan AS, Assar MS, Zaky AN (2015) Constant-stress partially accelerated life tests for inverted Weibull distribution with multiple censored data. Int J Adv Stat Probab 3(1):72–82CrossRef
11.
go back to reference Ismail AA (2009) Planning constant stress partially accelerated life tests with type II censoring: the case of Weibull failure distribution. Int J Stat Econ 3:39–46 Ismail AA (2009) Planning constant stress partially accelerated life tests with type II censoring: the case of Weibull failure distribution. Int J Stat Econ 3:39–46
12.
go back to reference Ismail AA, Abdel-Ghaly AA, El-Khodary EH (2011) Optimum constant stress life test plans for paretodistribution under type I censoring. J Stat Comput Simul 81(12):1835–1845CrossRef Ismail AA, Abdel-Ghaly AA, El-Khodary EH (2011) Optimum constant stress life test plans for paretodistribution under type I censoring. J Stat Comput Simul 81(12):1835–1845CrossRef
13.
go back to reference Kamal M, Zarrin S, Islam AU (2013) Constant stress partially accelerated life test design for inverted Weibull distribution with type I censoring. Algorithms Res 2(2):43–49 Kamal M, Zarrin S, Islam AU (2013) Constant stress partially accelerated life test design for inverted Weibull distribution with type I censoring. Algorithms Res 2(2):43–49
14.
go back to reference Lone SA, Rahman R, Islam AU (2017) Step stress partially accelerated life testing plan for competing risks using adaptive type I progressive hybrid censoring. Pak J Stat 33(4):237–248 Lone SA, Rahman R, Islam AU (2017) Step stress partially accelerated life testing plan for competing risks using adaptive type I progressive hybrid censoring. Pak J Stat 33(4):237–248
15.
go back to reference Mahmoud MAW, Sagheer RM, Nagaty H (2017) Inference for constant-stress partially accelerated life test model with progressive type-II censoring scheme. J Stat Appl Probab 6(2):373–383CrossRef Mahmoud MAW, Sagheer RM, Nagaty H (2017) Inference for constant-stress partially accelerated life test model with progressive type-II censoring scheme. J Stat Appl Probab 6(2):373–383CrossRef
16.
go back to reference Nelson W (1990) Accelerated life testing: statistical models, data analysis and test plans. Wiley, New YorkCrossRef Nelson W (1990) Accelerated life testing: statistical models, data analysis and test plans. Wiley, New YorkCrossRef
18.
go back to reference Shi YM, Jin L, Wei C, Yue HB (2013) Constant-stress accelerated life test with competing risks under progressive type-II hybrid censoring. Adv Mater Res 712–715:2080–2083CrossRef Shi YM, Jin L, Wei C, Yue HB (2013) Constant-stress accelerated life test with competing risks under progressive type-II hybrid censoring. Adv Mater Res 712–715:2080–2083CrossRef
19.
go back to reference Srivastava PW, Mittal N (2013) Failure censored optimum constant stress partially accelerated life tests for the truncated logistic life distribution. Int J Bus Manag 3(2):41–66 Srivastava PW, Mittal N (2013) Failure censored optimum constant stress partially accelerated life tests for the truncated logistic life distribution. Int J Bus Manag 3(2):41–66
20.
go back to reference Srivastava PW, Mittal N (2013) Optimum constant stress partially accelerated life tests for the truncated logistic life distribution under time constraint. Int J Oper Res Nepal 2:33–47 Srivastava PW, Mittal N (2013) Optimum constant stress partially accelerated life tests for the truncated logistic life distribution under time constraint. Int J Oper Res Nepal 2:33–47
21.
go back to reference Wang FK, Cheng YF (2012) Estimating the Burr XII parameters in constant stress partially accelerated life tests under multiple censored data. Commun Stat Simul Comput 41(9):1711–1727CrossRef Wang FK, Cheng YF (2012) Estimating the Burr XII parameters in constant stress partially accelerated life tests under multiple censored data. Commun Stat Simul Comput 41(9):1711–1727CrossRef
22.
go back to reference Zhang C, Shi Y, Wu M (2016) Statistical inference for competing risks model in step stress partially accelerated life tests with progressively type I hybrid censored Weibull life data. J Comput Appl Math 297:65–74CrossRef Zhang C, Shi Y, Wu M (2016) Statistical inference for competing risks model in step stress partially accelerated life tests with progressively type I hybrid censored Weibull life data. J Comput Appl Math 297:65–74CrossRef
Metadata
Title
Estimation in Constant Stress Partially Accelerated Life Tests for Weibull Distribution Based on Censored Competing Risks Data
Authors
Amal S. Hassan
Said G. Nassr
Sukanta Pramanik
Sudhansu S. Maiti
Publication date
01-07-2019
Publisher
Springer Berlin Heidelberg
Published in
Annals of Data Science / Issue 1/2020
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI
https://doi.org/10.1007/s40745-019-00226-3

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