The new continuous distribution : Statistical properties and modelling for Covid-19 data
*Ayşe Metin KarakaşCorresponding authoraysekarakas5767@gmail.comDepartment of StatisticsFaculty of Art and ScienceBitlis Eren UniversityBitlis, 13000, Turkey0000-0003-3552-0105View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 06 Dec 2023
- Published Online:
- 06 May 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JSMS-1371
- Pages:
- 691–711
Abstract
Keywords
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References
[1] A.A. Soliman, Estimation of parameters of life from progressively censored data using Burr XII model, IEEE Trans. Rel. vol.54, no.1, pp. 34–42 (2005).
[2] E. K. Al-Hussaini, “A characterization of the Burr type XII distribution,” Applied Mathematics Letters, vol. 4, no. 1, pp. 59-61 (1991).
[3] Al-Saiari, Arwa Y., Lamya A. Baharith, and Salwa A. Mousa. “Marshall-Olkin extended Burr type XII distribution.” International Journal of Statistics and probability, vol.3, No.1, pp. 78 (2014).
[4] A. W. Lewis. The Burr distribution as a general parametric family in survivorship and reliability theory applications. Ph.D. thesis. Department ofBiostatistics University of North Carolina (1981).
[5] G. M. Cordeiro and M. Castro, “A new family of generalized distributions,” Journal of Statistical Computation and Simulation, vol. 81, no. 7, pp. 883-898 (2011).
[6] D. Moore and A.S. Papadopoulos, The Burr type XII distribution as a failure model under various loss functions, Microelectron. Reliab. vol.40, pp. 2117–2122 (2000).
[7] E.K. AL-Hussaini and Z.F. Jaheen, Approximate Bayes estimators applied to the Burr model, Commun. Statis. Theor. Meth. vol.23,no.1, pp. 99–121 (1994).
[8] E.K. AL-Hussaini and Z.F. Jaheen, Bayesian estimation of the parameters, reliability and failure rate functions of the Burr type XII failure model, J. Statis.Comput. Simul. vol. 41, pp.31–40 (1992).
[9] I.G. Evans and A.S. Ragab, Bayesian inferences given a type 2 censored sample from Burr distribution, Commun. Statis. Theor. Meth. vol.12, pp. 1569–1580 (1983).
[10] I.W. Burr, Cumulative frequency functions, Ann. Math. Statis. vol.13, pp. 215–232 (1942).
[11] R. J. Hyndman and Y. Fan, “Sample quantiles in statistical packages,” The American Statistician, vol. 50, no. 4, pp. 361-365 (1996).
[12] M. I. Khan, “Characterization of some continuous distributions by truncated moment,” Journal of Statistics and Management Systems, vol. 25, no. 2, pp. 479–488 (2022), doi: 10.1080/09720510.2021.1933709.
[13] P. Kumaraswamy, “A generalized probability density function for double-bounded random processes,” Journal of Hydrology, vol. 46, no. 1, pp. 79-88 (1980).
[14] M.A.M. Ali Mousa, Empirical Bayes estimators for the Burr Type XII accelerated life testing model based on Type-2 censored data, J. Statis. Comput.Simulat. vol. 52, pp. 95–103 (1995).
[15] M. A. Mousa, Z. F. Jaheen, and A. A. Ahmad, “Bayesian estimation, prediction and characterization for the Gumbel model based on records,” Statistics: A Journal of Theoretical and Applied Statistics, vol. 36, no. 1, pp. 65-74 (2002).
[16] P.R. Tadikamalla, A look at the Burr and related distributions, Int.Statis.Rev, vol. 48, pp. 337-344 (1980).
[17] R.N. Rodriguez, A guide to the Burr type XII distributions, Biometrika, vol. 64, no. 1, pp. 129–134 (1977).
[18] D. R. Wingo, “Maximum likelihood methods for fitting the Burr type XII distribution to multiply (progressively) censored life test data,” Metrika, vol. 40, no. 1, pp. 203-210 (1993).
[19] Z.F. Jaheen, Estimation based on generalized order statistics from the Burr model, Commun. Statis. Theor. Meth. vol. 34 pp.785–794 (2005).
[20] W. J. Zimmer, J. B. Keats, and F. K. Wang, “The Burr XII distribution in reliability analysis,” Journal of Quality Technology, vol. 30, no. 4, pp. 386-394 (1998).
