Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring
Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring
In this study, the stress-strength reliability, $R=P(Y
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- [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.
- [7] N. Balakrishnan and R. Aggarwala, Progressive Censoring: Theory, Methods, and
Applications, Springer Science & Business Media, 2000.
- [7] N. Balakrishnan and R. Aggarwala, Progressive Censoring: Theory, Methods, and
Applications, Springer Science & Business Media, 2000.
- [8] N. Balakrishnan and R.A. Sandhu, A simple simulation algorithm for generating
progressive type II censored sample, Amer. Statist. 49 (2), 229-230, 1994.
- [8] N. Balakrishnan and R.A. Sandhu, A simple simulation algorithm for generating
progressive type II censored sample, Amer. Statist. 49 (2), 229-230, 1994.
- [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.
- [11] A.C. Cohen, Progressively censored samples in the life testing, Technometrics 5 (3),
327-339, 1963.
- [11] A.C. Cohen, Progressively censored samples in the life testing, Technometrics 5 (3),
327-339, 1963.
- [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.
- [14] B. Efron, The Jackknife, the Bootstrap and Other Resampling Plans, Society for
Industrial and Applied Mathematics, 1982.
- [14] B. Efron, The Jackknife, the Bootstrap and Other Resampling Plans, Society for
Industrial and Applied Mathematics, 1982.
- [15] A. El-Gohary, A. Alshamrani and A.N. Al-Otaibi, The generalized Gompertz distribution,
Appl. Math. Model. 37 (1-2), 13-24, 2013.
- [15] A. El-Gohary, A. Alshamrani and A.N. Al-Otaibi, The generalized Gompertz distribution,
Appl. Math. Model. 37 (1-2), 13-24, 2013.
- [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.
- [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
- [21] M. Jovanović, Estimation of P(X
- [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.
- [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.
- [23] C.T. Lin and S.J. Ke, Estimation of P(Y
- [23] C.T. Lin and S.J. Ke, Estimation of P(Y
- [24] D.V. Lindley, Fiducial distributions and Bayes theorem, J. R. Stat. Soc. Ser. B. Stat.
Methodol. 20 (1), 102–107, 1958.
- [24] D.V. Lindley, Fiducial distributions and Bayes theorem, J. R. Stat. Soc. Ser. B. Stat.
Methodol. 20 (1), 102–107, 1958.
- [25] D.V. Lindley, Approximate Bayesian methods, Trabajos de Estadística y de Investigación
Operative 31, 223-245, 1980.
- [25] D.V. Lindley, Approximate Bayesian methods, Trabajos de Estadística y de Investigación
Operative 31, 223-245, 1980.
- [26] Y.L. Lio and T.R. Tsai, Estimation of P(X
- [26] Y.L. Lio and T.R. Tsai, Estimation of P(X
- [27] M.A.W. Mahmoud, N.M. Kilany and L.H. El-Refai, Inference of the lifetime performance
index with power Rayleigh distribution based on progressive first-failure–
censored data, Qual. Reliab. Eng. Int. 36 (5), 1528-1536, 2020.
- [27] M.A.W. Mahmoud, N.M. Kilany and L.H. El-Refai, Inference of the lifetime performance
index with power Rayleigh distribution based on progressive first-failure–
censored data, Qual. Reliab. Eng. Int. 36 (5), 1528-1536, 2020.
- [28] N.R. Mann, Best linear invariant estimation for Weibull parameter under progressive
censoring, Technometrics 13 (3), 521-534, 1971.
- [28] N.R. Mann, Best linear invariant estimation for Weibull parameter under progressive
censoring, Technometrics 13 (3), 521-534, 1971.
- [29] H.K.T. Ng, P.S. Chan and N. Balakrishnan, Estimation of parameters from progressively
censored data using EM algorithm, Comput. Stat. Data Anal. 39 (4), 371-386,
2002.
- [29] H.K.T. Ng, P.S. Chan and N. Balakrishnan, Estimation of parameters from progressively
censored data using EM algorithm, Comput. Stat. Data Anal. 39 (4), 371-386,
2002.
- [30] H.K.T. Ng, P.S. Chan and N. Balakrishnan, Optimal progressive censoring plans for
the Weibull distribution, Technometrics 46 (4), 470-481, 2004.
- [30] H.K.T. Ng, P.S. Chan and N. Balakrishnan, Optimal progressive censoring plans for
the Weibull distribution, Technometrics 46 (4), 470-481, 2004.
- [31] M. Obradović, M. Jovanović, B. Milosević and V. Jevremović, Estimation of P(X
- [31] M. Obradović, M. Jovanović, B. Milosević and V. Jevremović, Estimation of P(X
- [32] R. Pakyari and N. Balakrishnan, A general purpose approximate goodness-of-fit test
for progressively type-II censored data, IEEE Trans. Rel. 61 (1), 238-244, 2012.
- [32] R. Pakyari and N. Balakrishnan, A general purpose approximate goodness-of-fit test
for progressively type-II censored data, IEEE Trans. Rel. 61 (1), 238-244, 2012.
- [33] K.P. Patil and H.V. Kulkarni, On the interval estimation of stress–strength reliability
for exponentiated scale family of distributions, Qual. Reliab. Eng. Int. 33 (7), 1447-
1453, 2017.
- [33] K.P. Patil and H.V. Kulkarni, On the interval estimation of stress–strength reliability
for exponentiated scale family of distributions, Qual. Reliab. Eng. Int. 33 (7), 1447-
1453, 2017.
- [34] M.R. Piña-Monarrez, Weibull stress distribution for static mechanical stress and its
stress/strength analysis, Qual. Reliab. Eng. Int. 34 (2), 229-244, 2018.
- [34] M.R. Piña-Monarrez, Weibull stress distribution for static mechanical stress and its
stress/strength analysis, Qual. Reliab. Eng. Int. 34 (2), 229-244, 2018.
- [35] B. Saraçoğlu, İ. Kınacı and D. Kundu, On estimation of P(Y
- [35] B. Saraçoğlu, İ. Kınacı and D. Kundu, On estimation of P(Y
- [36] A.A. Soliman, Estimation of parameters of life from progressively censored data using
Burr-XII model, IEEE Trans. Rel. 54 (1), 34-42, 2005.
- [36] A.A. Soliman, Estimation of parameters of life from progressively censored data using
Burr-XII model, IEEE Trans. Rel. 54 (1), 34-42, 2005.
- [37] R. Valiollahi, A. Asgharzadeh and M.Z. Raqab, Estimation of P(Y
- [37] R. Valiollahi, A. Asgharzadeh and M.Z. Raqab, Estimation of P(Y
- [38] R. Viveros and N. Balakrishnan, Interval estimation of parameters of life from progressively
censored data, Technometrics 36 (1), 84-91, 1994.
- [38] R. Viveros and N. Balakrishnan, Interval estimation of parameters of life from progressively
censored data, Technometrics 36 (1), 84-91, 1994.
- [39] S.J. Wu, Estimations of the parameters of the Weibull distribution with progressively
censored data, J. Jpn. Stat. Soc. Jpn. Issue 32 (2), 155-163, 2002.
- [39] S.J. Wu, Estimations of the parameters of the Weibull distribution with progressively
censored data, J. Jpn. Stat. Soc. Jpn. Issue 32 (2), 155-163, 2002.
- [40] S.J. Wu and C. Kuş, On estimation based on progressive first-failure-censored sampling,
Comput. Stat. Data Anal. 53 (10), 3659-3670, 2009.
- [40] S.J. Wu and C. Kuş, On estimation based on progressive first-failure-censored sampling,
Comput. Stat. Data Anal. 53 (10), 3659-3670, 2009.
- [41] Z. Xiong and W. Gui, Classical and Bayesian inference of an exponentiated halflogistic
distribution under adaptive type II progressive censoring, Entropy 23 (12),
1558, 2021.
- [41] Z. Xiong and W. Gui, Classical and Bayesian inference of an exponentiated halflogistic
distribution under adaptive type II progressive censoring, Entropy 23 (12),
1558, 2021.
- [42] H.K. Yuen, S.K. Tse, Parameters estimation for Weibull distributed lifetime under
progressive censoring with random removals, J. Stat. Comput. Simul. 55 (1-2), 57-71,
1996.
- [42] H.K. Yuen, S.K. Tse, Parameters estimation for Weibull distributed lifetime under
progressive censoring with random removals, J. Stat. Comput. Simul. 55 (1-2), 57-71,
1996.