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Articles

Pareto analysis for the lifetime performance index of products on the basis of progressively first-failure-censored batches under balanced symmetric and asymmetric loss functions

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Pages 1196-1227 | Received 30 Mar 2018, Accepted 21 Oct 2018, Published online: 02 Nov 2018

References

  • M.V. Ahmadi, M. Doostparast, and J. Ahmadi, Estimating the lifetime performance index with Weibull distribution based on progressive first-failure-censoring scheme, J. Comput. Appl. Math. 239 (2013), pp. 93–102. doi: 10.1016/j.cam.2012.09.006
  • M.V. Ahmadi, M. Doostparast, and J. Ahmadi, Statistical inference for the lifetime performance index based on generalized orders statistics from exponential distribution, Int. J. Syst. Sci. 46 (2015), pp. 1094–1107. doi: 10.1080/00207721.2013.809611
  • E.A. Ahmed, Estimation and prediction for the generalized inverted exponential distribution based on progressively first-failure-censored data with application, J. Appl. Stat. 44 (2017), pp. 1576–1608. doi: 10.1080/02664763.2016.1214692
  • Z.H. Amin, Bayesian inference for the Pareto lifetime model under progressive censoring with binomial removals, J. Appl. Stat. 35 (2008), pp. 1203–1217. doi: 10.1080/09537280802187634
  • B.C. Arnold, Pareto Distributions, International Co-operative Publishing House, Fairland, MD, 1983.
  • N. Balakrishnan and R. Aggarwala, Progressive Censoring: Theory, Methods and Applications, Birkhäuser, Boston, 2000.
  • J.O. Berger, Statistical Decision Theory and Bayesian Analysis, 2nd ed., Springer, New York, 1985.
  • C. Cheng, J. Chen, and J. Bai, Exact inferences of the two-parameter exponential distribution and Pareto distribution with censored data, J. Appl. Stat. 40 (2013), pp. 1464–1479. doi: 10.1080/02664763.2013.788613
  • A.C. Cohen, Progressively censored samples in life testing, Technometrics 5 (1963), pp. 327–329. doi: 10.1080/00401706.1963.10490102
  • M. Dube, R. Garg, and H. Krishna, On progressively first failure censored Lindley distribution, Comput. Statist. 31 (2016), pp. 139–163. doi: 10.1007/s00180-015-0622-6
  • J. Fu, A. Xu, and Y. Tang, Objective Bayesian analysis of Pareto distribution under progressive Type-II censoring, Stat. Probab. Lett. 82 (2012), pp. 1829–1836. doi: 10.1016/j.spl.2012.06.007
  • M.H. Gail and J.L. Gastwirth, A scale-free goodness-of-fit test for the exponential distribution based on the Gini statistic, J. R. Stat. Soc. Ser. B 40 (1978), pp. 350–357.
  • C.W. Hong, J.W. Wu, and C.H. Cheng, Computational procedure of performance assessment of lifetime index of businesses for the Pareto lifetime model with the right Type-II censored sample, Appl. Math. Comput. 184 (2007), pp. 336–350.
  • M. Jafari Jozani, É. Marchand, and A. Parsian, Bayes estimation under a general class of balanced loss functions, Rapport de recherche 36, Département de mathématiques, Université de Sherbrooke, 2006. Available at http://www.usherbrooke.ca/mathematiques/telechargement.
  • L.G. Johnson, Theory and Technique of Variation Research, Elsevier, Amsterdam, 1964.
  • N.L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distribution, Vol. 1, 2nd ed., John Wiley & Sons, New York, 1994.
  • H. Krishna, M. Dube, and R. Garg, Estimation of P(Y<X) for progressively first-failure-censored generalized inverted exponential distribution, J. Statist. Comput. Simul. 87 (2017), pp. 2274–2289. doi: 10.1080/00949655.2017.1326119
  • C. Kuş and M.F. Kaya, Estimation for the parameters of the Pareto distribution under progressive censoring, Commun. Statist. Theory Methods 36 (2007), pp. 1359–1365. doi: 10.1080/03610920601077089
  • H.M. Lee, J.W. Wu, C.L. Lei, and W.L. Hung, Implementing lifetime performance index of products with two-parameter exponential distribution, Int. J. Syst. Sci. 42 (2011), pp. 1305–1321. doi: 10.1080/00207721.2010.494774
  • W.C. Lee, J.W. Wu, and C.W. Hong, Assessing the lifetime performance index of products from progressively Type-II right censored data using Burr XII model, Math. Comput. Simul. 79 (2009), pp. 2167–2179. doi: 10.1016/j.matcom.2008.12.001
  • E.L. Lehmann and G. Casella, Theory of Point Estimation, 2nd ed., Springer, New York, 1998.
  • E.L. Lehmann and J. Romano, Testing Statistical Hypotheses, 3rd ed., Springer, New York, 2005.
  • D.C. Montgomery, Introduction to Statistical Quality Control, 5th ed., John Wiley & Sons, New York, 2005.
  • W. Nelson, Applied Life Data Analysis, John Wiley & Sons, New York, 1982.
  • G. Prakash, Some Bayes estimators for Pareto Type-II progressive censored data, Electron. J. Appl. Stat. Anal. 10 (2017), pp. 257–270.
  • R. Royall, Statistical Evidence: A Likelihood Paradigm, Chapman & Hall, London, 1997.
  • A.A. Soliman, Estimations for Pareto model using general progressive censored data and asymmetric loss, Commun. Statist. Theory Methods 37 (2008), pp. 1353–1370. doi: 10.1080/03610920701825957
  • A.A. Soliman, A.H. Abd-Ellah, N.A. Abou-Elheggag, and A.A. Modhesh, Estimation of the parameters of life for Gompertz distribution using progressive first-failure censored data, Comput. Statist. Data Anal. 56 (2012), pp. 2471–2485. doi: 10.1016/j.csda.2012.01.025
  • A.A. Soliman, A.H. Abd-Ellah, N.A. Abou-Elheggag, and A.A. Modhesh, Estimation from Burr type XII distribution using progressive first-failure censored data, J. Statist. Comput. Simul. 83 (2013), pp. 2270–2290. doi: 10.1080/00949655.2012.690157
  • D.R. Thomas and W.M. Wilson, Linear order statistic estimation for the two-parameter Weibull and extreme value distributions from Type-II progressively censored samples, Technometrics 14 (1972), pp. 679–691. doi: 10.1080/00401706.1972.10488957
  • S.K. Upadhyay and V. Shastri, Bayes results for classical Pareto distribution via Gibbs sampler with doubly-censored observations, IEEE Trans. Reliab. 46 (1997), pp. 56–59. doi: 10.1109/24.589927
  • H.R. Varian, A Bayesian approach to real estate assessment, in Studies in Bayesian Econometrics and Statistics in Honor of Leonard J. Savege, S.E. Finberg and A. Zellner, eds., North-Holland, Amsterdam, 1975, pp. 195–208.
  • S. Wu, Estimation for the two-parameter Pareto distribution under progressive censoring with uniform removals, J. Statist. Comput. Simul. 73 (2003), pp. 125–134. doi: 10.1080/00949650215732
  • S.J. Wu and C.T. Chang, Inference in the Pareto distribution based on progressive Type-II censoring with random removals, J. Appl. Stat. 30 (2003), pp. 163–172. doi: 10.1080/0266476022000023721
  • S.F. Wu and C.J. Chiu, Computational testing algorithmic procedure of assessment for lifetime performance index of products with two-parameter exponential distribution based on the multiply Type-II censored sample, J. Statist. Comput. Simul. 84 (2014), pp. 2106–2122. doi: 10.1080/00949655.2013.783581
  • S.J. Wu and C. Kuş, On estimation based on progressive first-failure-censored sampling, Comput. Statist. Data Anal. 53 (2009), pp. 3659–3670. doi: 10.1016/j.csda.2009.03.010
  • S.F. Wu and Y.P. Lin, Computational testing algorithmic procedure of assessment for lifetime performance index of products with one-parameter exponential distribution under progressive Type-I interval censoring, Math. Comput. Simul. 120 (2016), pp. 79–90. doi: 10.1016/j.matcom.2015.06.013
  • P.W. Zehna, Invariance of maximum likelihood estimation, Ann. Math. Stat. 37 (1966), pp. 744–744. doi: 10.1214/aoms/1177699475
  • A. Zellner, Bayesian and non-Bayesian estimation using balanced loss functions, in Statistical Decision Theory and Methods V, J.O. Berger and S.S. Gupta, eds., Springer-Verlag, New York, 1994, pp. 337–390.

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