E-Bayesian Estimation of the Weighted Power Function Distribution with Application to Medical Data

References

[1] G. Arslan, A new characterization of the power distribution, J. Comput. Appl. Math. 260 (2014), 99–102. 10.1016/j.cam.2013.09.068Search in Google Scholar

[2] R. B. Athirakrishnan and E. I. Abdul-Sathar, Bayesian and hierarchical Bayesian estimation of inverse Rayleigh distribution, Amer. J. Math. Manag. Sci. 41 (2022), no. 1, 70–87. 10.1080/01966324.2021.1914250Search in Google Scholar

[3] S. Bashir and H. Khan, Characterization of the weighted power function distribution by reliability functions and moments, Res. Math. 10 (2023), no. 1, Article ID 2202023. 10.1080/27684830.2023.2202023Search in Google Scholar

[4] S. Bashir and M. Rasul, A characterization and recurrence relations of moments of the size-biased power function distribution by lower record values, Int. J. Statist. Probab. 7 (2018), 10.5539/ijsp.v7n5p1. 10.5539/ijsp.v7n5p1Search in Google Scholar

[5] A. Bekker, J. J. J. Roux and P. J. Mostert, A generalization of the compound Rayleigh distribution: Using a Bayesian method on cancer survival times, Comm. Statist. Theory Methods 29 (2000), no. 7, 1419–1433. 10.1080/03610920008832554Search in Google Scholar

[6] J. O. Berger, Statistical Decision Theory and Bayesian Analysis, 2nd ed., Springer Ser. Statist., Springer, New York, 1985. 10.1007/978-1-4757-4286-2Search in Google Scholar

[7] N. S. Butt, M. A. ul Haq, R. M. Usman and A. A. Fattah, Transmuted power function distribution, Gazi Univ. J. Sci. 29 (2016), no. 1, 177–185. Search in Google Scholar

[8] M. Fisz, Characterization of some probability distributions, Skand. Aktuarietidskr. 41 (1958), no. 1–2, 65–67. Search in Google Scholar

[9] Z. Govindarajulu, Characterization of the exponential and power distributions, Scand. Actuar. J. 1966 (1966), 132–136. 10.1080/03461238.1966.10404560Search in Google Scholar

[10] M. Han, The structure of hierarchical prior distribution and its applications, Chinese Oper. Res. Management Sci. 6 (1997), no. 3, 31–40. Search in Google Scholar

[11] M. Han, E-Bayesian estimations of the reliability and its E-posterior risk under different loss functions, Comm. Statist. Simulation Comput. 49 (2020), no. 6, 1527–1545. 10.1080/03610918.2018.1498893Search in Google Scholar

[12] M. Han and Y. Ding, Synthesized expected Bayesian method of parametric estimate, J. Syst. Sci. Syst. Eng. 13 (2004), no. 1, 98–111. 10.1007/s11518-006-0156-0Search in Google Scholar

[13] M. Meniconi and D. M. Barry, The power function distribution: A useful and simple distribution to assess electrical component reliability, Microelectronics Reliab. 36 (1996), no. 9, 1207–1212. 10.1016/0026-2714(95)00053-4Search in Google Scholar

[14] M. Nassar, R. Alotaibi and A. Elshahhat, Complexity analysis of E-Bayesian estimation under type-Ii censoring with application to organ transplant blood data, Symmetry 14 (2022), no. 7, Article ID 1308. 10.3390/sym14071308Search in Google Scholar

[15] H. M. Okasha, E-Bayesian estimation for the exponential model based on record statistics, J. Stat. Theory Appl. 18 (2019), no. 3, 236–243. 10.2991/jsta.d.190820.001Search in Google Scholar

[16] G. P. Patil and C. R. Rao, Weighted distributions and size-biased sampling with applications to wildlife populations and human families, Biometrics 34 (1978), no. 2, 179–189. 10.2307/2530008Search in Google Scholar

[17] H. Reyad and S. Othman, E-Bayesian estimation of two-component mixture of inverse Lomax distribution based on type-I censoring scheme, J. Adv. Math. Comput. Sci. 26 (2018), no. 2, 1–22. 10.9734/JAMCS/2018/39087Search in Google Scholar

[18] M. A. ul Haq, R. M. Usman, N. Bursa and G. Özel, Mcdonald power function distribution with theory and applications, Int. J. Statist. Econ. 19 (2018), 89–107. Search in Google Scholar

[19] Y. Wang, Z. Yan and Y. Chen, E-Bayesian and H-Bayesian inferences for a simple step-stress model with competing failure model under progressively type-II censoring, Entropy 24 (2022), no. 10, Paper No. 1405. 10.3390/e24101405Search in Google Scholar PubMed PubMed Central