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On the maximum likelihood, Bayes and expansion estimation for the reliability function of Kumaraswamy distribution under different loos function | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 130، دوره 13، شماره 1، خرداد 2022، صفحه 1587-1604 اصل مقاله (508.62 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5774 | ||
| نویسندگان | ||
| Mohammed A. Mahmoud* 1؛ Sudad K. Abraheem1؛ Amal A. Mohammed2 | ||
| 1Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq | ||
| 2Department of Ways and Transportation, College of Engineering, Mustansiriyah University, Baghdad, Iraq | ||
| تاریخ دریافت: 18 مهر 1400، تاریخ پذیرش: 05 آذر 1400 | ||
| چکیده | ||
| This work deals with Kumaraswamy distribution. Maximum likelihood, Bayes and expansion methods of estimation are used to estimate the reliability function. A symmetric Loss function (De-groot and NLINEX) are used to find the reliability function based on four types of informative prior three double priors and one single prior. In addition expansion methods (Bernstein polynomials and Power function) are applied to find reliability function numerically. Simulation research is conducted for the comparison of the effectiveness of the proposed estimators. Matlab (2015) will be used to obtain the numerical results. | ||
| کلیدواژهها | ||
| Kumaraswamy distribution؛ Maximum likelihood؛ Bayes, expansion methods | ||
| مراجع | ||
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[1] S.K. Abraheem, N.J.F. Al-Obedy and A.A. Mohammed, A comparative study on the double prior for reliability Kumaraswamy distribution with numerical solution, Baghdad Sci. J. 17(1) (2020) 159–165. [2] A. K. Akbar, A. Mohammed, H. Zawar and T. Muhammad, Comparison of Loss Functions, for Estimating the Scale Parameter of Log-Normal Distribution Using Non-Informative Prior, Hacettepe J. Math. Stat. 45(6) (2016) 1831–1845. [3] S.S. ALWan, Non-Bayes, Bayes and Empirical Bayes Estimator for Lomax Distribution, A Thesis Submitted to the Council of the College of Science at the AL-Mustansiriya University in Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics, 2015. [4] R.A. Bantan, F. Jamal, C. Chesneau and M. Elgrahy, Truncate inverted Kumaraswamy generated family of distributions with applications, Entropy 21(11) (2019) 1089. [5] M.H. DeGroot, Optimal Statistical Decision, John Wiley & Sons, 2005. [6] Y. Dodge, The Concise Encyclopedia of Statistics, Springer Science, 2008. [7] C. L. Eugene and F. Famoye, Beta-normal distribution and its applications, Commun. Stat. J. Theory Meth. 31 (2002) 497–512. [8] R. Gholizadeh, A.M. Shirazi and S. Mosalmanzadeh, Classical and Bayesian estimation on the Kumaraswamy distribution using grouped and un-grouped data under difference loss functions, J. Appl. Sci. 11(12) (2011) 2154–2162. [9] A. Haq and M. Aslam, On the double prior selection for the parameter of Poisson distribution, Statistics on the Internet, 2009. [10] A.F.M.S. Islam, M.K. Roy and M.M. Ali, A non-linear exponential (NLINEX) loss function in Bayesian analysis, J. Korean Data Inf. Sci. Soc. 15(4) 2004 899–910. [11] M.C. Jones, Families of distributions arising from distributions of order statistic (with discussion), Test (13) 2004 1–43. [12] P. Kumaraswamy, A generalized probability density function for double bounded random processes, J. Hydrol. 46(1980)79–88. [13] A.J. Lemonte, W.B. Souzaa and G.M. Cordeiro, The exponentiated Kumaraswamy distribution and its log transform, Brazilian J. Probab. Stat. 27(1) 2013 31–35. [14] S.F. Mohmmad and R. Batul, Bayesian estimation of shift point in shape parameter of inverse Gaussian distribution under different loss function, J. Optim. Indust. Engin. 18 (2015) 1–12. [15] A.A. Mohammed, Approximate Solution for a System of Linear Fractional Order Integro-Differential Equations of Volterra Types, A Thesis Submitted to the College of Science AL-Mustansirah University in Partial Fulfillment of the Requirements for The Degree of Doctor of Philosophy in Mathematics, 2006. [16] A.A. Mohammed, S.K. Abraheem and N.J.F. AL-Obedy, Bayesian estimation of reliability Burr type XII under AL-Bayyatis suggest loss function with numerical solution, J. Phys. Conf. Ser. 1003 (2018) 012041. [17] R.M. Patel and A.C. Patel, The double prior selection for the parameter of exponential lifetime model under type II, Censoring 16(1) (2017) 406–427. [18] S. Raja and S.P. Ahmad, Bayesian analysis of power function Distribution under Double Priors, J. Appl. Stat. 3(2) (2014) 239–249. [19] M. Ronak, The double prior selection for the parameter of exponential lifetime model under type II censoring, JMASM 16(1) (2017) 406–427. [20] A.F.M. Saiful Islam, Loss Functions, Utility Functions and Bayesian Sample Size Determination, A Thesis is Submitted for the Degree of Doctor of Philosophy in Queen Mary, University of London, 2011. [21] S.G. Salman, Estimating the Parameter of Maxwell-Boltzman Distribution by Many Methods Employing Simulation, A Thesis Submitted to the Council of College Science for Women University of Baghdad as a Partial= Fulfillment of the Requirements for the Degree of Master of Science in Mathematics, 2017. [22] A.K. Singh, R. Dalpatadu and A. Tsang, On estimation of parameters of the Pareto distribution, Actuarial Res. Clear. House 1 (1996) 407–409. [23] F. Sultana, Y.M. Trpathi, M. Rastogi and S.J. Wu, Parameter estimation for the Kumaraswamy distribution based on hybrid censoring, Amer. J. Math. Monag. Sci. 37 (2018) 243–261. [24] S.V. Vaseghi, Advanced Digital Signal Processing and Noise Reduction, Second Edition, John Wiley and Sons Ltd., 2000. | ||
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