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Research Article

Product of spacing estimation of entropy for inverse Weibull distribution under progressive type-II censored data with applications

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Pages 259-269 | Received 15 Nov 2021, Accepted 21 Feb 2022, Published online: 08 Mar 2022

References

  • Amigó JM, Balogh SG, Hernández S. A brief review of generalized entropies. Entropy. 2018;20(11):813.
  • Rényi A. On measures of entropy and information. In: Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Contributions to the Theory of Statistics. University of California Press; 1961.
  • Tsallis C. Possible generalization of Boltzmann-Gibbs statistics. J Stat Phys. 1988;52(1):479–487.
  • Shannon CE. A mathematical theory of communication. Bell Syst Tech J. 1948;27(3):379–423.
  • Wong KM, Chen S. The entropy of ordered sequences and order statistics. IEEE Trans Inform Theory. 1990;36(2):276–284.
  • Baratpour S, Ahmadi J, Arghami NR. Entropy properties of record statistics. Statist Papers. 2007;48(2):197–213.
  • Morabbi H, Razmkhah M. Entropy of hybrid censoring schemes. J Stat Res. 2010;6(2):161–176.
  • Abo-Eleneen ZA. The entropy of progressively censored samples. Entropy. 2011;13(2):437–449.
  • Cramer E, Bagh C. Minimum and maximum information censoring plans in progressive censoring. Commun Stat Theory Methods. 2011;40(14):2511–2527.
  • Cho Y, Sun H, Lee K. An estimation of the entropy for a Rayleigh distribution based on doubly-generalized type-II hybrid censored samples. Entropy. 2014;16(7):3655–3669.
  • Lee K. Estimation of entropy of the inverse Weibull distribution under generalized progressive hybrid censored data. J Korean Data Inform Sci Soc. 2017;28(3):659–668.
  • Hassan AS, Zaky AN. Estimation of entropy for inverse Weibull distribution under multiple censored data. J Taibah Univ Sci. 2019;13(1):331–337.
  • Bantan RA, Elgarhy M, Chesneau C, et al. Estimation of entropy for inverse Lomax distribution under multiple censored data. Entropy. 2020;22(6):601.
  • Rastogi MK, Tripathi YM, Wu SJ. Estimating the parameters of a bathtub-shaped distribution under progressive type-II censoring. J Appl Stat. 2012;39(11):2389–2411.
  • Ahmed EA. Bayesian estimation based on progressive type-II censoring from two-parameter bathtub-shaped lifetime model: an Markov chain Monte Carlo approach. J Appl Stat. 2014;41(4):752–768.
  • Dey S, Nassar M, Maurya K, et al. Estimation and prediction of Marshall-Olkin extended exponential distribution under progressively type-II censored data. J Stat Comput Simul. 2018;88(2):2287–2308.
  • Balakrishnan N, Aggarwala R. Progressive censoring: theory methods, and applications. Boston (MA): Birkhauser; 2000.
  • Dey S, Nassar M, Kumar D. Moments and estimation of reduced Kies distribution based on progressive type-II right censored order statistics. Hacettepe J Math Stat. 2019;48(1):332–350.
  • Kumar D, Nassar M, Malik MR, et al. Estimation of the location and scale parameters of generalized Pareto distribution based on progressively type-II censored order statistics. Ann Data Sci. 2020;1–35.
  • Cheng RCH, Amin NAK. Estimating parameters in continuous univariate distributions with a shifted origin. J R Stat Soc Ser B. 1983;45(3):394–403.
  • Coolen FPA, Newby MJ. A note on the use of the product of spacings in Bayesian inference. Department of Mathematics and Computing Science, University of Technology; 1990.
  • Anatolyev S, Kosenok G. An alternative to maximum likelihood based on spacings. Econom Theory. 2005;21(2):472–476.
  • Nassar M, Afify AZ, Dey S, et al. A new extension of Weibull distribution: properties and different methods of estimation. J Comput Appl Math. 2018;336:439–457.
  • Shafqat M, Ali S, Shah I, et al. Univariate discrete Nadarajah and Haghighi distribution: properties and different methods of estimation. Statistica. 2020;80(3):301–330.
  • Ali S, Dey S, Tahir MH, et al. Comparison of different methods of estimation for the flexible Weibull distribution. Commun Faculty Sci Univ Ankara Ser A1 Math Stat. 2020;69(1):794–814.
  • Ali S, Dey S, Tahir MH, et al. The Poisson Nadarajah-Haghighi distribution: different methods of estimation. J Reliab Stat Stud. 2021;14(2):415–450.
  • Ng HKT, Luo L, Hu Y, et al. Parameter estimation of three-parameter Weibull distribution based on progressively type-II censored samples. J Stat Comput Simul. 2012;82(11):1661–1678.
  • Ghosh K, Jammalamadaka SR. A general estimation method using spacings. J Stat Plan Inference. 2001;93(1-2):71–82.
  • Basu S, Singh SK, Singh U. Estimation of inverse Lindley distribution using product of spacings function for hybrid censored data. Methodol Comput Appl Probab. 2019;21(4):1377–1394.
  • Henningsen A, Toomet O. maxLik: a package for maximum likelihood estimation in R. Comput Stat. 2011;26(3):443–458.
  • Bhaumik D, Kapur K, Gibbons R. Testing parameters of a gamma distribution for small samples. Technometrics. 2009;51(3):326–334.
  • Vishwakarma PK, Kaushik A, Pandey A, et al. Bayesian estimation for inverse Weibull distribution under progressive type-II censored data with beta-binomial removals. Austrian J Stat. 2018;47(1):77–94.
  • Lawless JF. Statistical models and methods for lifetime data. 2nd ed. New Jersey: Wiley; 2011.
  • Dey S, Nassar M. Classical methods of estimation on constant stress accelerated life tests under exponentiated Lindley distribution. J Appl Stat. 2020;47(6):975–996.
  • Elshahhat A, Rastogi MK. Estimation of parameters of life for an inverted Nadarajah–Haghighi distribution from type-II progressively censored samples. J Indian Soc Probab Stat. 2021;22(1):113–154.