Research Article
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Year 2020, , 29 - 36, 01.02.2020
https://doi.org/10.16984/saufenbilder.507300

Abstract

References

  • [1] K. Cooray, “Analyzing grouped, censored, and truncated data using the odd weibull family”, Communications in Statistics - Theory and Methods, vol. 41 no.15, pp. 2661-2680, 2012.
  • [2] K. Cooray, “A study of moments and likelihood estimators of the odd Weibull distribution”, Statistical Methodology, vol. 26, pp. 72-83, 2015.
  • [3] H. Jiang , M. Xie and L.C. Tang, “On the odd Weibull distribution”, J. Risk and Reliability, vol. 222, pp. 583-594, 2008.
  • [4] N. Balakrishnan, N. Kannan, C.T. Lin, and S. J. S. Wu, “Inference for the extreme value distribution under progressive type-II censoring”, J. Statist. Comput. Simul., vol. 74, pp. 25–45, 2004.
  • [5] S.J. Wu, “Estimations of the Parameters of the Weibull Distributions With Progressively Censored Data”, J. Japan Statist. Soc., vol. 32 no. 2, pp. 155-163, 2002.
  • [6] S.J. Wu, C.T. Chang and T.R. Tsai, “Point and Interval Estimations For The Gompertz Distribution Under Progressive Type II Censoring”, Metron-International Journal Of Statistics LXI, vol.3, pp. 409-418, 2003.
  • [7] N. Balakrishnan, and R. Aggarwala, “Progressive Censoring: Theory, Methods and Applications”, Birkhauser, Boston, 2000.
  • [8] N. Balakrishnan, “Progressive censoring methodology: an appraisal, (with discussions) Test”, vol. 16, no. 2, 211 – 296, 2007.
  • [9] C.D. Lai, “Generalized Weibull Distributions”, London, Springer, pp. 63-65, 2014.
  • [10] G.S. Mudholkar and D.K. Srivastava, “Exponentiated Weibull family for analyzing bathtub failure rate data”, IEEE Transactions on Reliability, vol.42, pp. 299-302, 1993.
  • [11] G. Gencer and B. Saraçoğlu, “Comparison of approximate Bayes Estimators under different loss functions for parameters of Odd Weibull Distribution”, Journal of Selçuk University Natural and Applied Science, vol. 5, no.1, pp. 18-32, 2016.
  • [12] S. Nadarajah, G.M. Cordeiro and E.M.M. Ortega, “Exponentiated Weibull Distribution: a survey”, Statistical Papers, vol. 54, no.3, pp.839-877, 2013.
  • [13] A.M. Salem and O.E. Abo-Kasem, “Estimation for the Parameters of the Exponentiated Weibull Distribution Based on Progressive Hybrid Censored Samples”, Int. J. Contemp. Math. Sciences, vol. 6, no. 35, pp. 1713-1724, 2011.
  • [14] M.M. Nassar and F.H. Eissa, “Bayesian estimation for the exponentiated Weibull model”, Communications in Statistics – Theory and Methods, vol.33, pp. 2343- 2362, 2004.
  • [15] E.M.M. Ortega, G.M. Cordeiro, E.M. Hashimoto and K. Cooray, “A log-linear regression model for the odd Weibull distribution with censored data”, Journal of Applied Statistics, vol.41 no.9, pp.1859–1880, 2014.
  • [16] Y.Y Abdelall, “The Odd Generalized Exponential Modified Weibull Distribution”, ınternational Mathematical Forum, vol.11, no.16, pp. 943-959, 2016.
  • [17] M.Ç. Korkmaz, M. Alizadeh, H.M. Yousof and N.S. Butt, “The Generalized Odd Weibull Generated Family of Distributions: Statistical Properties and Applications”, Pakistan Journal of Statistics and Operation Research, vol.14, no.3, pp. 541-556, 2018.
  • [18] M. Alizadeh, E. Altun, A.Z. Afify and G. Ozel, “The Extended Odd Weibull-G Family: Properties And Applıcatıons”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol.68 no.1, pp. 161-186, 2018.
  • [19] K. Cooray, “Generalization of theWeibull distribution: the odd Weibull family”, Statistical Modelling, vol. 6, pp.265–277, 2006.
  • [20] L. Tierney and J. B. Kadane, "Accurate Approximations for Posterior Moments and Marginal Densities", Journal of the American Statistical Association, vol.81, no.393, pp. 82-86, 1986.
  • [21] N. Balakrishnan and R.A. Sandhu, “A Simple Simulation Algorithm for Generating Progressively Type-II Censored Sample”, American Statistician, vol.49, pp.229-230, 1995.

Estimations For The Odd Weibull Distribution under Progressive Type-II Right Censored Samples

Year 2020, , 29 - 36, 01.02.2020
https://doi.org/10.16984/saufenbilder.507300

Abstract



In this study, We introduced
performances Maximum Likelihood (ML) and Bayes estimation under LINEX, GENTROPY
and SQUARED loss functions results concerning a progressively type-II censored
samples for parameters of OddW distribution.
We used obtain the Tierney Kadane’s
approximation to obtain bayesian estimates.
The Mean Squared Error (MSE)s of MLEs and (MSE)s
of bayes estimates under LINEX, GENTROPY and
SQUARED loss functions for unknown parameters
are computed using Monte Carlo simulation.




References

  • [1] K. Cooray, “Analyzing grouped, censored, and truncated data using the odd weibull family”, Communications in Statistics - Theory and Methods, vol. 41 no.15, pp. 2661-2680, 2012.
  • [2] K. Cooray, “A study of moments and likelihood estimators of the odd Weibull distribution”, Statistical Methodology, vol. 26, pp. 72-83, 2015.
  • [3] H. Jiang , M. Xie and L.C. Tang, “On the odd Weibull distribution”, J. Risk and Reliability, vol. 222, pp. 583-594, 2008.
  • [4] N. Balakrishnan, N. Kannan, C.T. Lin, and S. J. S. Wu, “Inference for the extreme value distribution under progressive type-II censoring”, J. Statist. Comput. Simul., vol. 74, pp. 25–45, 2004.
  • [5] S.J. Wu, “Estimations of the Parameters of the Weibull Distributions With Progressively Censored Data”, J. Japan Statist. Soc., vol. 32 no. 2, pp. 155-163, 2002.
  • [6] S.J. Wu, C.T. Chang and T.R. Tsai, “Point and Interval Estimations For The Gompertz Distribution Under Progressive Type II Censoring”, Metron-International Journal Of Statistics LXI, vol.3, pp. 409-418, 2003.
  • [7] N. Balakrishnan, and R. Aggarwala, “Progressive Censoring: Theory, Methods and Applications”, Birkhauser, Boston, 2000.
  • [8] N. Balakrishnan, “Progressive censoring methodology: an appraisal, (with discussions) Test”, vol. 16, no. 2, 211 – 296, 2007.
  • [9] C.D. Lai, “Generalized Weibull Distributions”, London, Springer, pp. 63-65, 2014.
  • [10] G.S. Mudholkar and D.K. Srivastava, “Exponentiated Weibull family for analyzing bathtub failure rate data”, IEEE Transactions on Reliability, vol.42, pp. 299-302, 1993.
  • [11] G. Gencer and B. Saraçoğlu, “Comparison of approximate Bayes Estimators under different loss functions for parameters of Odd Weibull Distribution”, Journal of Selçuk University Natural and Applied Science, vol. 5, no.1, pp. 18-32, 2016.
  • [12] S. Nadarajah, G.M. Cordeiro and E.M.M. Ortega, “Exponentiated Weibull Distribution: a survey”, Statistical Papers, vol. 54, no.3, pp.839-877, 2013.
  • [13] A.M. Salem and O.E. Abo-Kasem, “Estimation for the Parameters of the Exponentiated Weibull Distribution Based on Progressive Hybrid Censored Samples”, Int. J. Contemp. Math. Sciences, vol. 6, no. 35, pp. 1713-1724, 2011.
  • [14] M.M. Nassar and F.H. Eissa, “Bayesian estimation for the exponentiated Weibull model”, Communications in Statistics – Theory and Methods, vol.33, pp. 2343- 2362, 2004.
  • [15] E.M.M. Ortega, G.M. Cordeiro, E.M. Hashimoto and K. Cooray, “A log-linear regression model for the odd Weibull distribution with censored data”, Journal of Applied Statistics, vol.41 no.9, pp.1859–1880, 2014.
  • [16] Y.Y Abdelall, “The Odd Generalized Exponential Modified Weibull Distribution”, ınternational Mathematical Forum, vol.11, no.16, pp. 943-959, 2016.
  • [17] M.Ç. Korkmaz, M. Alizadeh, H.M. Yousof and N.S. Butt, “The Generalized Odd Weibull Generated Family of Distributions: Statistical Properties and Applications”, Pakistan Journal of Statistics and Operation Research, vol.14, no.3, pp. 541-556, 2018.
  • [18] M. Alizadeh, E. Altun, A.Z. Afify and G. Ozel, “The Extended Odd Weibull-G Family: Properties And Applıcatıons”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol.68 no.1, pp. 161-186, 2018.
  • [19] K. Cooray, “Generalization of theWeibull distribution: the odd Weibull family”, Statistical Modelling, vol. 6, pp.265–277, 2006.
  • [20] L. Tierney and J. B. Kadane, "Accurate Approximations for Posterior Moments and Marginal Densities", Journal of the American Statistical Association, vol.81, no.393, pp. 82-86, 1986.
  • [21] N. Balakrishnan and R.A. Sandhu, “A Simple Simulation Algorithm for Generating Progressively Type-II Censored Sample”, American Statistician, vol.49, pp.229-230, 1995.
There are 21 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Gülcan Gencer 0000-0002-3543-041X

Kerem Gencer 0000-0002-2914-1056

Publication Date February 1, 2020
Submission Date January 3, 2019
Acceptance Date September 20, 2019
Published in Issue Year 2020

Cite

APA Gencer, G., & Gencer, K. (2020). Estimations For The Odd Weibull Distribution under Progressive Type-II Right Censored Samples. Sakarya University Journal of Science, 24(1), 29-36. https://doi.org/10.16984/saufenbilder.507300
AMA Gencer G, Gencer K. Estimations For The Odd Weibull Distribution under Progressive Type-II Right Censored Samples. SAUJS. February 2020;24(1):29-36. doi:10.16984/saufenbilder.507300
Chicago Gencer, Gülcan, and Kerem Gencer. “Estimations For The Odd Weibull Distribution under Progressive Type-II Right Censored Samples”. Sakarya University Journal of Science 24, no. 1 (February 2020): 29-36. https://doi.org/10.16984/saufenbilder.507300.
EndNote Gencer G, Gencer K (February 1, 2020) Estimations For The Odd Weibull Distribution under Progressive Type-II Right Censored Samples. Sakarya University Journal of Science 24 1 29–36.
IEEE G. Gencer and K. Gencer, “Estimations For The Odd Weibull Distribution under Progressive Type-II Right Censored Samples”, SAUJS, vol. 24, no. 1, pp. 29–36, 2020, doi: 10.16984/saufenbilder.507300.
ISNAD Gencer, Gülcan - Gencer, Kerem. “Estimations For The Odd Weibull Distribution under Progressive Type-II Right Censored Samples”. Sakarya University Journal of Science 24/1 (February 2020), 29-36. https://doi.org/10.16984/saufenbilder.507300.
JAMA Gencer G, Gencer K. Estimations For The Odd Weibull Distribution under Progressive Type-II Right Censored Samples. SAUJS. 2020;24:29–36.
MLA Gencer, Gülcan and Kerem Gencer. “Estimations For The Odd Weibull Distribution under Progressive Type-II Right Censored Samples”. Sakarya University Journal of Science, vol. 24, no. 1, 2020, pp. 29-36, doi:10.16984/saufenbilder.507300.
Vancouver Gencer G, Gencer K. Estimations For The Odd Weibull Distribution under Progressive Type-II Right Censored Samples. SAUJS. 2020;24(1):29-36.

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