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Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring

Year 2023, Volume: 52 Issue: 5, 1379 - 1395, 31.10.2023

Fatma Çiftci , Buğra Saraçoğlu , Neriman Akdam , Yunus Akdoğan

https://doi.org/10.15672/hujms.961868
Cited By: 2

Abstract

In this study, the stress-strength reliability, $R=P(Y

Keywords

Bayes estimator Lindley’s approximation maximum likelihood estimation Monte Carlo simulation progressive type-II censoring stress-strength reliability.

References

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  • [2] H.H. Abu-Zinadah and R.A. Bakoban, Bayesian estimation of exponentiated Gompertz distribution under progressive censoring type-II, J. Comput. Theor. Nanosci. 14 (11), 5239-5247, 2017.
  • [2] H.H. Abu-Zinadah and R.A. Bakoban, Bayesian estimation of exponentiated Gompertz distribution under progressive censoring type-II, J. Comput. Theor. Nanosci. 14 (11), 5239-5247, 2017.
  • [3] N. Akdam, İ. Kınacı and B. Saraçoğlu, Statistical inference of stress-strength reliability for the exponential power (EP) distribution based on progressive type-II censored samples, Hacet. J. Math. Stat. 46 (2), 239-253, 2017.
  • [3] N. Akdam, İ. Kınacı and B. Saraçoğlu, Statistical inference of stress-strength reliability for the exponential power (EP) distribution based on progressive type-II censored samples, Hacet. J. Math. Stat. 46 (2), 239-253, 2017.
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Year 2023, Volume: 52 Issue: 5, 1379 - 1395, 31.10.2023

Fatma Çiftci , Buğra Saraçoğlu , Neriman Akdam , Yunus Akdoğan

https://doi.org/10.15672/hujms.961868
Cited By: 2

Abstract

References

  • [1] M.M.E. Abd El-Monsef and W.A.A.E.L. Hassanein, Assessing the lifetime performance index for Kumaraswamy distribution under first-failure progressive censoring scheme for ball bearing revolutions, Qual. Reliab. Eng. Int. 36 (3), 1086-1097, 2020.
  • [1] M.M.E. Abd El-Monsef and W.A.A.E.L. Hassanein, Assessing the lifetime performance index for Kumaraswamy distribution under first-failure progressive censoring scheme for ball bearing revolutions, Qual. Reliab. Eng. Int. 36 (3), 1086-1097, 2020.
  • [2] H.H. Abu-Zinadah and R.A. Bakoban, Bayesian estimation of exponentiated Gompertz distribution under progressive censoring type-II, J. Comput. Theor. Nanosci. 14 (11), 5239-5247, 2017.
  • [2] H.H. Abu-Zinadah and R.A. Bakoban, Bayesian estimation of exponentiated Gompertz distribution under progressive censoring type-II, J. Comput. Theor. Nanosci. 14 (11), 5239-5247, 2017.
  • [3] N. Akdam, İ. Kınacı and B. Saraçoğlu, Statistical inference of stress-strength reliability for the exponential power (EP) distribution based on progressive type-II censored samples, Hacet. J. Math. Stat. 46 (2), 239-253, 2017.
  • [3] N. Akdam, İ. Kınacı and B. Saraçoğlu, Statistical inference of stress-strength reliability for the exponential power (EP) distribution based on progressive type-II censored samples, Hacet. J. Math. Stat. 46 (2), 239-253, 2017.
  • [4] A. Asgharzadeh, Point and interval estimation for a generalized logistic distribution under progressive Type-II censoring, Comm. Statist. Theory Methods 35 (9), 1685- 1702, 2006.
  • [4] A. Asgharzadeh, Point and interval estimation for a generalized logistic distribution under progressive Type-II censoring, Comm. Statist. Theory Methods 35 (9), 1685- 1702, 2006.
  • [5] M.G. Bader and A.M. Priest, Statistical aspects of fiber and bundle strength in hybrid composites, in: T. Hayashi, K. Kawata and S. Umekawa (ed.) Progress in Science and Engineering Composites, Sci. Eng. Compos, (ICCM-IV) Tokyo, 1129–1136, 1982.
  • [5] M.G. Bader and A.M. Priest, Statistical aspects of fiber and bundle strength in hybrid composites, in: T. Hayashi, K. Kawata and S. Umekawa (ed.) Progress in Science and Engineering Composites, Sci. Eng. Compos, (ICCM-IV) Tokyo, 1129–1136, 1982.
  • [6] N. Balakrishnan, Progressive censoring methodology: an appraisal, (with discussions), Test 16 (2), 211-296, 2007.
  • [6] N. Balakrishnan, Progressive censoring methodology: an appraisal, (with discussions), Test 16 (2), 211-296, 2007.
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  • [9] U. Balasooriya, S.L. Saw and V. Gadag, Progressively censored reliability sampling plans for the Weibull distribution, Technometrics 42 (2), 160-167, 2000.
  • [9] U. Balasooriya, S.L. Saw and V. Gadag, Progressively censored reliability sampling plans for the Weibull distribution, Technometrics 42 (2), 160-167, 2000.
  • [10] A. Biswas, S. Chakraborty and M. Mukherjee, On estimation of stress–strength reliability with log-Lindley distribution, J. Stat. Comput. Simul. 91 (1), 128-150, 2021.
  • [10] A. Biswas, S. Chakraborty and M. Mukherjee, On estimation of stress–strength reliability with log-Lindley distribution, J. Stat. Comput. Simul. 91 (1), 128-150, 2021.
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  • [12] B.B. de Andrade, A.R. do Nascimento and P.N. Rathie PN, Parametric and nonparametric inference for the reliability of copula-based stress-strength models, Qual. Reliab. Eng. Int. 36 (7), 2249-2267, 2020.
  • [12] B.B. de Andrade, A.R. do Nascimento and P.N. Rathie PN, Parametric and nonparametric inference for the reliability of copula-based stress-strength models, Qual. Reliab. Eng. Int. 36 (7), 2249-2267, 2020.
  • [13] E. Demir and B. Saraçoğlu, Maximum likelihood estimation for the parameters of the generalized Gompertz distribution under progressive type-II right censored samples, Journal of Selcuk University Natural and Applied Science 4 (1), 41-48, 2015.
  • [13] E. Demir and B. Saraçoğlu, Maximum likelihood estimation for the parameters of the generalized Gompertz distribution under progressive type-II right censored samples, Journal of Selcuk University Natural and Applied Science 4 (1), 41-48, 2015.
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  • [16] D.I. Gibbons and L.C. Vance, Estimators for the 2-parameter Weibull distribution with progressively censored samples, IEEE Trans. Rel. 32 (1), 95-99, 1983.
  • [17] A.S. Hassan, A. Al-Omari and H.F. Nagy, Stress–strength reliability for the generalized inverted exponential distribution using MRSS, Iran. J. Sci. Technol. Trans. A: Sci. 45 (2), 641-659, 2021.
  • [17] A.S. Hassan, A. Al-Omari and H.F. Nagy, Stress–strength reliability for the generalized inverted exponential distribution using MRSS, Iran. J. Sci. Technol. Trans. A: Sci. 45 (2), 641-659, 2021.
  • [18] M.K. Jha, S. Dey, R.M. Alotaibi and Y.M. Tripathi, Reliability estimation of a multicomponent stress-strength model for unit Gompertz distribution under progressive type II censoring, Qual. Reliab. Eng. Int. 36 (3), 965-987, 2020.
  • [18] M.K. Jha, S. Dey, R.M. Alotaibi and Y.M. Tripathi, Reliability estimation of a multicomponent stress-strength model for unit Gompertz distribution under progressive type II censoring, Qual. Reliab. Eng. Int. 36 (3), 965-987, 2020.
  • [19] C. Jiang, X. Liu, X. Wang, X. Wang and S. Su, Interval dynamic reliability analysis of mechanical components under multistage load based on strength degradation, Qual. Reliab. Eng. Int. 37 (2), 567-582, 2021.
  • [19] C. Jiang, X. Liu, X. Wang, X. Wang and S. Su, Interval dynamic reliability analysis of mechanical components under multistage load based on strength degradation, Qual. Reliab. Eng. Int. 37 (2), 567-582, 2021.
  • [20] J.K. Jose, Estimation of stress-strength reliability using discrete phase type distribution, Comm. Statist. Theory Methods 51 (2), 368-386, 2022.
  • [20] J.K. Jose, Estimation of stress-strength reliability using discrete phase type distribution, Comm. Statist. Theory Methods 51 (2), 368-386, 2022.
  • [21] M. Jovanović, Estimation of P(X<Y) for geometric-exponential model based on complete and censored samples, Comm. Statist. Simulation Comput. 46 (4), 3050-3066, 2017.
  • [21] M. Jovanović, Estimation of P(X<Y) for geometric-exponential model based on complete and censored samples, Comm. Statist. Simulation Comput. 46 (4), 3050-3066, 2017.
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  • [23] C.T. Lin and S.J. Ke, Estimation of P(Y<X) for location-scale distributions under joint progressively type-II right censoring, Qual. Technol. Quant. Manag. 10 (3), 339- 352, 2013.
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There are 84 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Statistics
Authors

Fatma Çiftci 0000-0001-6362-1777

Buğra Saraçoğlu 0000-0003-1713-2862

Neriman Akdam 0000-0002-0204-6657

Yunus Akdoğan 0000-0003-3520-7493

Early Pub Date May 7, 2023
Publication Date October 31, 2023
Published in Issue Year 2023 Volume: 52 Issue: 5

Cite

APA Çiftci, F., Saraçoğlu, B., Akdam, N., Akdoğan, Y. (2023). Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring. Hacettepe Journal of Mathematics and Statistics, 52(5), 1379-1395. https://doi.org/10.15672/hujms.961868
AMA Çiftci F, Saraçoğlu B, Akdam N, Akdoğan Y. Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring. Hacettepe Journal of Mathematics and Statistics. October 2023;52(5):1379-1395. doi:10.15672/hujms.961868
Chicago Çiftci, Fatma, Buğra Saraçoğlu, Neriman Akdam, and Yunus Akdoğan. “Estimation of Stress-Strength Reliability for Generalized Gompertz Distribution under Progressive Type-II Censoring”. Hacettepe Journal of Mathematics and Statistics 52, no. 5 (October 2023): 1379-95. https://doi.org/10.15672/hujms.961868.
EndNote Çiftci F, Saraçoğlu B, Akdam N, Akdoğan Y (October 1, 2023) Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring. Hacettepe Journal of Mathematics and Statistics 52 5 1379–1395.
IEEE F. Çiftci, B. Saraçoğlu, N. Akdam, and Y. Akdoğan, “Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring”, Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 5, pp. 1379–1395, 2023, doi: 10.15672/hujms.961868.
ISNAD Çiftci, Fatma et al. “Estimation of Stress-Strength Reliability for Generalized Gompertz Distribution under Progressive Type-II Censoring”. Hacettepe Journal of Mathematics and Statistics 52/5 (October 2023), 1379-1395. https://doi.org/10.15672/hujms.961868.
JAMA Çiftci F, Saraçoğlu B, Akdam N, Akdoğan Y. Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring. Hacettepe Journal of Mathematics and Statistics. 2023;52:1379–1395.
MLA Çiftci, Fatma et al. “Estimation of Stress-Strength Reliability for Generalized Gompertz Distribution under Progressive Type-II Censoring”. Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 5, 2023, pp. 1379-95, doi:10.15672/hujms.961868.
Vancouver Çiftci F, Saraçoğlu B, Akdam N, Akdoğan Y. Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring. Hacettepe Journal of Mathematics and Statistics. 2023;52(5):1379-95.

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