256
Views
6
CrossRef citations to date
0
Altmetric
Articles

Estimation procedures and optimal censoring schemes for an improved adaptive progressively type-II censored Weibull distribution

ORCID Icon & ORCID Icon
Pages 1664-1688 | Received 20 Oct 2021, Accepted 18 Jun 2023, Published online: 11 Jul 2023

References

  • S. Anatolyev and G. Kosenok, An alternative to maximum likelihood based on spacings, Econ. Theory. 21 (2005), pp. 472–476.
  • S.K. Ashour, A.A. El-Sheikh, and A. Elshahhat, Inferences and optimal censoring schemes for progressively first-failure censored Nadarajah-Haghighi distribution, Sankhya A 84 (2020), pp. 885–923.
  • S.K. Ashour, A.A. El-Sheikh, and A. Elshahhat, Inferences for Weibull parameters under progressively first-failure censored data with binomial random removals, Statist. Optim. Inf. Comput. 9 (2021), pp. 47–60.
  • N. Balakrishnan and R.A. Sandhu, A simple simulational algorithm for generating progressive type-II censored samples, Am. Stat. 49 (1995), pp. 229–230.
  • S. Basu, S.K. Singh, and U. Singh, Parameter estimation of inverse lindley distribution for type-I censored data, Comput. Statist. 32 (2017), pp. 367–385.
  • S. Basu, S.K. Singh, and U. Singh, Estimation of inverse lindley distribution using product of spacings function for hybrid censored data, Methodol. Comput. Appl. Probab. 21 (2019), pp. 1377–1394.
  • M.H. Chen and Q.M. Shao, Monte Carlo estimation of Bayesian credible and HPD intervals, J. Comput. Graphical Statist. 8 (1999), pp. 69–92.
  • R.C.H. Cheng and N.A.K. Amin, Estimating parameters in continuous univariate distributions with a shifted origin, J. R. Statist. Soc.: Ser. B 45 (1983), pp. 394–403.
  • R.C.H. Cheng and T.C. Iles, Corrected maximum likelihood in non-regular problems, J. R. Statist. Soc.: Ser. B (Methodological) 49 (1987), pp. 95–101.
  • R.C.H. Cheng and L. Traylor, Non-regular maximum likelihood problems, J. R. Statist. Soc.: Ser. B (Methodological) 57 (1995), pp. 3–24.
  • F.P.A. Coolen and M.J. Newby, A note on the use of the product of spacings in Bayesian inference. Department of Mathematics and Computing Science, University of Technology, 1990.
  • F.P.A. Coolen and M.J. Newby, Bayesian estimation of location parameters in life distributions, Reliab. Eng. Syst. Saf. 45 (1994), pp. 293–298.
  • S. Dey, T. Dey, and D.J. Luckett, Statistical inference for the generalized inverted exponential distribution based on upper record values, Math. Computers Simul. 120 (2016), pp. 64–78.
  • S. Dey, M. Nassar, R.K. Maurya, and Y.M. Tripathi, Estimation and prediction of Marshall–Olkin extended exponential distribution under progressively type-II censored data, J. Statist. Comput. Simul. 88 (2018), pp. 2287–2308.
  • A. Elshahhat, A.H. Muse, O.M. Egeh, and B.R. Elemary, Estimation for parameters of life of the Marshall-Olkin generalized-exponential distribution using progressive type-II censored data, Complexity 2022 (2022), p. 8155929.
  • A. Elshahhat and M. Nassar, Analysis of adaptive type-II progressively hybrid censoring with binomial removals, J. Stat. Comput. Simul. 93 (2022), pp. 1077–1103.
  • A. Elshahhat and M.K. Rastogi, Estimation of parameters of life for an inverted Nadarajah–Haghighi distribution from type-II progressively censored samples, J. Indian Soc. Probab. Statist. 22 (2021), pp. 113–154.
  • W.H. Greene, Econometric Analysis, 4th ed., Prentice-Hall, New York, 2000.
  • R.D. Gupta and D. Kundu, On the comparison of fisher information of the Weibull and GE distributions, J. Statist. Plann. Inference 136 (2006), pp. 3130–3144.
  • A. Henningsen and O. Toomet, maxLik: a package for maximum likelihood estimation in R, Comput. Stat. 26 (2011), pp. 443–458.
  • N. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions, 2nd ed., John Wiley and Sons, New York, 1994.
  • A. Kaushik, U. Singh, and S.K. Singh, Bayesian inference for the parameters of Weibull distribution under progressive type-I interval censored data with beta-binomial removals, Commun. Statist.–Simul. Comput. 46 (2017), pp. 3140–3158.
  • D. Kundu, Bayesian inference and life testing plan for the Weibull distribution in presence of progressive censoring, Technometrics 50 (2008), pp. 144–154.
  • W.Q. Meeker and L.A. Escobar, Statistical Methods for Reliability Data, Wiley, New York, 1998.
  • D.N.P. Murthy, M. Xie, and R. Jiang, Weibull Models, Wiley Series in Probability and Statistics, Wiley, Hoboken, 2004.
  • M. Nassar, O. Abo-Kasem, C. Zhang, and S. Dey, Analysis of Weibull distribution under adaptive type-II progressive hybrid censoring scheme, J. Indian Soc. Probab. Statist. 19 (2018), pp. 25–65.
  • M. Nassar, S. Dey, L. Wang, and A. Elshahhat, Estimation of lindley constant-stress model via product of spacing with type-II censored accelerated life data, Commun. Statist.–Simul. Comput. (2021). https://doi.org/10.1080/03610918.2021.2018460.
  • H.K.T. Ng, D. Kundu, and P.S. Chan, Statistical analysis of exponential lifetimes under an adaptive type-II progressive censoring scheme, Naval Res. Logistics 56 (2009), pp. 687–698.
  • B. Pareek, D. Kundu, and S. Kumar, On progressively censored competing risks data for Weibull distributions, Comput. Statist. Data Anal. 53 (2009), pp. 4083–40943.
  • M. Plummer, N. Best, K. Cowles, and K. Vines, CODA: convergence diagnosis and output analysis for MCMC, R News 6 (2006), pp. 7–11.
  • B. Pradhan and D. Kundu, Inference and optimal censoring schemes for progressively censored Birnbaum–Saunders distribution, J. Stat. Plan. Inference. 143 (2013), pp. 1098–1108.
  • B. Ranneby, The maximum spacing method. An estimation method related to the maximum likelihood method, Scand. J. Statist. 11 (1984), pp. 93–112.
  • J.I. Seo, Y.E. Jeon, and S.B. Kang, New approach for a Weibull distribution under the progressive type-II censoring scheme, Mathematics 8 (2020), p. 1713.
  • U. Singh, S.K. Singh, and R.K. Singh, Product spacings as an alternative to likelihood for Bayesian inferences, J. Stat. Appl. Probab. 3 (2014), pp. 179–188.
  • R. Valiollahi, A. Asgharzadeh, and M.Z. Raqab, Estimation of P (Y<X) for Weibull distribution under progressive type-II censoring, Commun. Statist.-Theory Methods 42 (2013), pp. 4476–4498.
  • W. Yan, P. Li, and Y. Yu, Statistical inference for the reliability of Burr-XII distribution under improved adaptive type-II progressive censoring, Appl. Math. Modell. 95 (2021), pp. 38–52.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.