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

Year 2023, , 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, , 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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  • [22] C. Kuş and M.F. Kaya, Estimation for the parameters of the Pareto distribution under progressive censoring, Comm. Statist. Theory Methods 36 (7), 1359-1365, 2007.
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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

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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