BibTex RIS Kaynak Göster

Comparison of Estimators for Stress-Strength Reliability in the Gompertz Case

Yıl 2009, Cilt: 38 Sayı: 3, 339 - 349, 01.03.2009

Kaynakça

  • Awad, A. M. and Gharraf, M. K. Estimation of P (Y < X) in the Burr case: A comparative study, Commun. Statist. Simul. Comp. 15 (2), 389–403, 1986.
  • Birnbaum, Z. W., 1956. On a use of the Mann-Whitney statistic (Proceedings of the Third Berkeley Symposium Math. Statistic Probability I, 1956), 13–17.
  • Chao, A. On comparing estimators of P (Y < X) in the exponential case, IEEE Trans. Reliab. 31 (4), 389–392, 1982.
  • Church, J. D. and Harris, B. The estimation of reliability from stress strength relationships, Technometrics 12, 49–54, 1970.
  • Constantine, K. and Karson, M. Estimators of P (Y < X) in the gamma case, Commun. Statist. Simul. Comp. 15, 365–388, 1986.
  • Ismail, A. A. On the optimal design of step-stress partially accelerated life tests for the Gompertz distribution with type-I censoring, 2006.
  • http://interstat.statjournals.net/articles/0606001.pdf
  • Jaheen, Z. F. A Bayesian analysis of record statistics from the Gompertz model, Appl. Math. Comp. 145 (2-3), 307–320, 2003.
  • Khedhairi, A. and Gohary, A. E. A new class of bivariate Gompertz distributions and its mixture, Int. J. Math. Anal. 2 (5), 235–253, 2008.
  • Kotz, S., Lumelskii, Y. and Pensky, M. The Stress-Strength Model and its Generalizations: Theory and Applications(World Scientific Publishing, Singapore, 2003).
  • Kundu, D. and Gupta R. D. Estimation of P (Y < X) for the generalized exponential dis- tribution, Metrika 61 (3), 291–308, 2005.
  • Lumelski, Ya. P. and Sapoznikov, P. N. Unbiased estimators of probabilities densities, Theor. Veroyat. Primen. 14, 372–380, 1969.
  • Mokhlis, N. A. Reliability of a stress-strength model with Burr Type III distributions, Com- mun. Statist.Theory Meth. 34 (7), 1643–1657, 2005.
  • Raqab M. Z. and Kundu, D. Comparison of different estimators of P (Y < X) for a scaled Burr type X distribution, Commun. Statist. Simul. Comp. 34 (2), 465–483, 2005.
  • Sara¸co˘glu, B. and Kaya, M. F. Maximum likelihood estimation and confidence intervals of system reliability for Gompertz distribution in stress-strength models, Sel¸cuk J. Appl. Math. 8(2), 25–36, 2007.
  • Surles, J. G. and Padgett, W. J. Inference for reliability and stress-strength for a scaled Burr-type X distribution, Lifetime Data Analy. 7, 187–200, 2001.
  • Wu, S. J., Chang, C. T. and Tsai, T. R. Point and interval estimations for the Gompertz distribution under progressive type-II censoring, Metron - International J. Stat. LXI (3), 403–418, 2003.
  • Wu, J. W., Hung, W. L. and Tsai, C. H. Estimation of parameters of the Gompertz distri- bution using the least squares method, Appl. Math. Comp. 158 (1), 133–147, 2004.
  • Wu, C. C., Wu, S. F. and Chan, H. Y. MLE and the estimated expected test time for the two-parameter Gompertz distribution under progressive censoring with binomial removals, Appl. Math. Comp. 181 (2), 1657–1670, 2006.

Comparison of Estimators for Stress-Strength Reliability in the Gompertz Case

Yıl 2009, Cilt: 38 Sayı: 3, 339 - 349, 01.03.2009

Kaynakça

  • Awad, A. M. and Gharraf, M. K. Estimation of P (Y < X) in the Burr case: A comparative study, Commun. Statist. Simul. Comp. 15 (2), 389–403, 1986.
  • Birnbaum, Z. W., 1956. On a use of the Mann-Whitney statistic (Proceedings of the Third Berkeley Symposium Math. Statistic Probability I, 1956), 13–17.
  • Chao, A. On comparing estimators of P (Y < X) in the exponential case, IEEE Trans. Reliab. 31 (4), 389–392, 1982.
  • Church, J. D. and Harris, B. The estimation of reliability from stress strength relationships, Technometrics 12, 49–54, 1970.
  • Constantine, K. and Karson, M. Estimators of P (Y < X) in the gamma case, Commun. Statist. Simul. Comp. 15, 365–388, 1986.
  • Ismail, A. A. On the optimal design of step-stress partially accelerated life tests for the Gompertz distribution with type-I censoring, 2006.
  • http://interstat.statjournals.net/articles/0606001.pdf
  • Jaheen, Z. F. A Bayesian analysis of record statistics from the Gompertz model, Appl. Math. Comp. 145 (2-3), 307–320, 2003.
  • Khedhairi, A. and Gohary, A. E. A new class of bivariate Gompertz distributions and its mixture, Int. J. Math. Anal. 2 (5), 235–253, 2008.
  • Kotz, S., Lumelskii, Y. and Pensky, M. The Stress-Strength Model and its Generalizations: Theory and Applications(World Scientific Publishing, Singapore, 2003).
  • Kundu, D. and Gupta R. D. Estimation of P (Y < X) for the generalized exponential dis- tribution, Metrika 61 (3), 291–308, 2005.
  • Lumelski, Ya. P. and Sapoznikov, P. N. Unbiased estimators of probabilities densities, Theor. Veroyat. Primen. 14, 372–380, 1969.
  • Mokhlis, N. A. Reliability of a stress-strength model with Burr Type III distributions, Com- mun. Statist.Theory Meth. 34 (7), 1643–1657, 2005.
  • Raqab M. Z. and Kundu, D. Comparison of different estimators of P (Y < X) for a scaled Burr type X distribution, Commun. Statist. Simul. Comp. 34 (2), 465–483, 2005.
  • Sara¸co˘glu, B. and Kaya, M. F. Maximum likelihood estimation and confidence intervals of system reliability for Gompertz distribution in stress-strength models, Sel¸cuk J. Appl. Math. 8(2), 25–36, 2007.
  • Surles, J. G. and Padgett, W. J. Inference for reliability and stress-strength for a scaled Burr-type X distribution, Lifetime Data Analy. 7, 187–200, 2001.
  • Wu, S. J., Chang, C. T. and Tsai, T. R. Point and interval estimations for the Gompertz distribution under progressive type-II censoring, Metron - International J. Stat. LXI (3), 403–418, 2003.
  • Wu, J. W., Hung, W. L. and Tsai, C. H. Estimation of parameters of the Gompertz distri- bution using the least squares method, Appl. Math. Comp. 158 (1), 133–147, 2004.
  • Wu, C. C., Wu, S. F. and Chan, H. Y. MLE and the estimated expected test time for the two-parameter Gompertz distribution under progressive censoring with binomial removals, Appl. Math. Comp. 181 (2), 1657–1670, 2006.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

Bugra Saraçoglu Bu kişi benim

M.f. Kaya Bu kişi benim

A.m. Abd-elfattah Bu kişi benim

Yayımlanma Tarihi 1 Mart 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 38 Sayı: 3

Kaynak Göster

APA Saraçoglu, B., Kaya, M., & Abd-elfattah, A. (2009). Comparison of Estimators for Stress-Strength Reliability in the Gompertz Case. Hacettepe Journal of Mathematics and Statistics, 38(3), 339-349.
AMA Saraçoglu B, Kaya M, Abd-elfattah A. Comparison of Estimators for Stress-Strength Reliability in the Gompertz Case. Hacettepe Journal of Mathematics and Statistics. Mart 2009;38(3):339-349.
Chicago Saraçoglu, Bugra, M.f. Kaya, ve A.m. Abd-elfattah. “Comparison of Estimators for Stress-Strength Reliability in the Gompertz Case”. Hacettepe Journal of Mathematics and Statistics 38, sy. 3 (Mart 2009): 339-49.
EndNote Saraçoglu B, Kaya M, Abd-elfattah A (01 Mart 2009) Comparison of Estimators for Stress-Strength Reliability in the Gompertz Case. Hacettepe Journal of Mathematics and Statistics 38 3 339–349.
IEEE B. Saraçoglu, M. Kaya, ve A. Abd-elfattah, “Comparison of Estimators for Stress-Strength Reliability in the Gompertz Case”, Hacettepe Journal of Mathematics and Statistics, c. 38, sy. 3, ss. 339–349, 2009.
ISNAD Saraçoglu, Bugra vd. “Comparison of Estimators for Stress-Strength Reliability in the Gompertz Case”. Hacettepe Journal of Mathematics and Statistics 38/3 (Mart 2009), 339-349.
JAMA Saraçoglu B, Kaya M, Abd-elfattah A. Comparison of Estimators for Stress-Strength Reliability in the Gompertz Case. Hacettepe Journal of Mathematics and Statistics. 2009;38:339–349.
MLA Saraçoglu, Bugra vd. “Comparison of Estimators for Stress-Strength Reliability in the Gompertz Case”. Hacettepe Journal of Mathematics and Statistics, c. 38, sy. 3, 2009, ss. 339-4.
Vancouver Saraçoglu B, Kaya M, Abd-elfattah A. Comparison of Estimators for Stress-Strength Reliability in the Gompertz Case. Hacettepe Journal of Mathematics and Statistics. 2009;38(3):339-4.