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Annals of Data Science

Erschienen in:

27.04.2022

Competing Risk Analysis in Constant Stress Partially Accelerated Life Tests Under Censored Information

verfasst von: Intekhab Alam, Sadia Anwar, Lalit Kumar Sharma, Aquil Ahmed

Erschienen in: Annals of Data Science | Ausgabe 5/2023

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Abstract

A constant-stress partially accelerated life test (CSPALT) is the most widespread type where each examination unit is subjected to only one chosen stress level until its failure or the termination of the experiment, whichever occurs first. This paper presents the CSPALT with Type-I and -II censoring schemes in the occurrence of competing failure causes when the lifetime of test units follows the two-parameter Fréchet distribution. The lifetime of test units follows the two-parameter Fréchet distribution. The maximum likelihood method is used to estimate the parameters of the failure distribution. The Fisher Information Matrix and variance–covariance matrix are also assembled. Furthermore, a simulation technique is applied to investigate the performance of the theoretical estimators of the parameters.

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Nelson W (1990) Accelerated life testing: statistical models, data analysis and test plans. Wiley, New YorkCrossRef

Tobias PA, Trindade DC (2002) Applied reliability, 2nd edn. Chapman and Hall/CRC, New York

Alam I, Islam AU, Ahmed A (2019) Parametric estimation on constant stress partially accelerated life tests for the exponentiated exponential distribution using multiple censoring. Reliab Theory Appl 14(4):20–31. https://doi.org/10.24411/1932-2321-2019-14003CrossRef

Intekhab A, Ahmed A (2020) Parametric and interval estimation under step-stress partially accelerated life tests using adaptive type-II progressive hybrid censoring. Ann Data Sci. https://doi.org/10.1007/s40745-020-00249-1CrossRef

Mahmoud MA, El-Sagheer RM, Abou-Senna AM (2018) Estimating the modified Weibull parameters in the presence of constant-stress partially accelerated life testing. J Stat Theory Appl 17(2):242–260. https://doi.org/10.2991/jsta.2018.17.2.5CrossRef

Shi X, Shi Y (2016) Constant-accelerated life tests on masked series systems under progressive Type-II censoring. J Phys Sci 21:29–36. http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/1361

Kamal M (2021) Parameter estimation based on censored data under partially accelerated life testing for hybrid systems due to unknown failure causes. Comput Model Eng Sci 130(3):1239–1269. https://doi.org/10.32604/cmes.2022.017532CrossRef

Kamal M (2021) Parameter estimation for progressive censored data under accelerated life test with k levels of constant stress. Reliab Theory Appl 16(3 (63)):149–159. https://doi.org/10.24412/1932-2321-2021-363-149-159CrossRef

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):72–82. https://doi.org/10.14419/ijasp.v3i1.4418CrossRef

10.

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. https://doi.org/10.5923/j.algorithms.20130202.02CrossRef

11.

Lin CT, Hsu YY, Lee SY, Balakrishnan N (2019) Inference on constant stress accelerated life tests for log-location-scale lifetime distributions with type-I hybrid censoring. J Stat Comput Simul 89(4):720–749. https://doi.org/10.1080/00949655.2019.1571591CrossRef

12.

Attia AF, Shaban AS, Abd El Sattar MH (2013) Estimation in constant-stress accelerated life testing for Birnbaum-Saunders distribution under censoring. Int J Contemp Math Sci 8(4):173–188. https://doi.org/10.12988/ijcms.2013.13018CrossRef

13.

Wang BX, Sheng KYZ (2014) New inference for constant-stress accelerated life tests with Weibull distribution and progressively type-II censoring. IEEE Trans Reliab 63(3):807–815. https://doi.org/10.1109/TR.2014.2313804CrossRef

14.

Lone SA, Panahi H, Shah I (2021) Bayesian prediction interval for a constant-stress partially accelerated life test model under censored data. J Taibah Univ Sci 15(1):1178–1187. https://doi.org/10.1080/16583655.2021.2023847CrossRef

15.

Alam I, Ahmed A (2020) Parametric and interval estimation under step-stress partially accelerated life tests using adaptive Type-II progressive hybrid censoring. Ann Data Sci. https://doi.org/10.1007/s40745-020-00249-1CrossRef

16.

Alam I, Ahmed A (2021) Inference on maintenance service policy under step-stress partially accelerated life tests using progressive censoring. J Stat Comput Simul 92:1–17. https://doi.org/10.1080/00949655.2021.1975282CrossRef

17.

Alam I, Intezar MA, Ahmed A (2021) Costs of maintenance service policy: a new approach on constant stress partially accelerated life test for generalized inverted exponential distribution. Reliab Theory Appl 16(2 (62)):45–57. https://doi.org/10.24412/1932-2321-2021-262-45-57CrossRef

18.

Hassan AS, Nassr SG, Pramanik S, Maiti SS (2020) Estimation in constant stress partially accelerated life tests for Weibull distribution based on censored competing risks data. Ann Data Sci 7:45–62. https://doi.org/10.1007/s40745-019-00226-3CrossRef

19.

Shi Y (2022) Advances in Big Data analytics: theory, algorithm and practice. Springer, SingaporeCrossRef

20.

Olson DL, Shi Y (2007) Introduction to business data mining. McGraw-Hill/Irwin, New York

21.

Shi Y, Tian YJ, Kou G, Peng Y, Li JP (2011) Optimization based data mining: theory and applications. Springer, BerlinCrossRef

22.

Tien JM (2017) Internet of things, real-time decision making, and artificial intelligence. Ann Data Sci 4(2):149–178. https://doi.org/10.1007/s40745-017-0112-5CrossRef

23.

Cox DR (1959) The analysis of exponentially distributed with two types of failure. J R Stat B 21:411–421

24.

Crowder MJ (2001) Classical competing risks model. Chapman & Hall/CRC, New YorkCrossRef

25.

Abu-Zinadah HH, Sayed-Ahmed N (2019) Competing risks model with partially step-stress accelerate life tests in analyses lifetime Chen data under Type-II censoring scheme. Open Phys 17(1):192–199. https://doi.org/10.1515/phys-2019-0019CrossRef

26.

hi 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 712:2080–2083. https://doi.org/10.4028/www.scientific.net/AMR.712-715.2080CrossRef

27.

Zhang C, Shi Y, Bai X, Fu Q (2017) Inference for constant-stress accelerated life tests with dependent competing risks from bivariate Birnbaum-Saunders distribution based on adaptive progressively hybrid censoring. IEEE Trans Reliab 66(1):111–122. https://doi.org/10.1109/TR.2016.2639583CrossRef

28.

Bai X, Shi Y, Liu Y, Zhang C (2020) Statistical inference for constant-stress accelerated life tests with dependent competing risks from Marshall-Olkin bivariate exponential distribution. Qual Reliab Eng Int 36(2):511–528. https://doi.org/10.1002/qre.2582CrossRef

29.

Wu SJ, Huang SR (2017) Planning two or more level constant-stress accelerated life tests with competing risks. Reliab Eng Syst Saf 158:1–8. https://doi.org/10.1016/j.ress.2016.09.007CrossRef

30.

Mahmoud MR, Muhammed HZ, El-Saeed AR (2020) Analysis of progressively Type-I censored data in competing risks models with generalized inverted exponential distribution. J Stat Appl 9:109–117. https://doi.org/10.18576/jsap/090110CrossRef

31.

Kotz S, Nadarajah S (2000) Extreme value distributions: theory and applications. Imperial College Press, LondonCrossRef

32.

Harlow DG (2002) Applications of the Fréchet distribution function. Int J Mater Prod Technol 5(17):482–495. https://doi.org/10.12691/ajams-4-1-2CrossRef

33.

Nadarajah S, Kotz S (2008) Sociological models based on Fréchet random variables. Qual Quant 42:89–95. https://doi.org/10.1007/s11135-006-9039-1CrossRef

34.

Zaharim A, Najid SK, Razali AM, Sopian K (2009) Analysing Malaysian wind speed data using statistical distribution. In: Proceedings of the 4th IASME/WSEAS international conference on energy and environment, Cambridge, UK. https://doi.org/10.5555/1576322.1576388

35.

Nadarajah S, Kotz S (2003) The exponentiated Fréchet distribution. InterStat Electron J 14:1–7

36.

Liu (1997) A comparison between the Weibull and lognormal models used to analyze reliability data. PhD Thesis, University of Nottingham

37.

Nelson W (1982) Applied life data analysis. Wiley, New York. ISBN 0-471-09458-7CrossRef

38.

Khan MS, Pasha GR, Pasha AH (2008) Theoretical analysis of inverse Weibull distribution. WSEAS Trans Math 7(2):30–38. https://doi.org/10.5555/1466934.1466935CrossRef

Titel: Competing Risk Analysis in Constant Stress Partially Accelerated Life Tests Under Censored Information
verfasst von: Intekhab Alam
Sadia Anwar
Lalit Kumar Sharma
Aquil Ahmed
Publikationsdatum: 27.04.2022
Verlag: Springer Berlin Heidelberg
Erschienen in: Annals of Data Science / Ausgabe 5/2023
Print ISSN: 2198-5804
Elektronische ISSN: 2198-5812
DOI: https://doi.org/10.1007/s40745-022-00401-z

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