Parameter Estimation of Extended Burr XII Distribution Using Principle of Maximum Entropy based on K-Records
الموضوعات : مجله بین المللی ریاضیات صنعتی
1 - Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.
الکلمات المفتاحية: Parameter Estimation, Extended Burr XII distribution, POME, Monte Carlo simulation, K-Records,
ملخص المقالة :
In this paper a new method of parameter estimation was employed for extended Burr XII parameters using the principle of maximum entropy (POME) based on k-record values. The Monte Carlo simulation was applied to assess the performance of this method and compare it with some other well-known methods. The simulated results showed that POME performs better than the other methods.
[1] M. Ahsanullah, V. B. Nevzorov, Records via Probability Theory, Atlantis Press, 2015.
[2] E. T. Jaynes, Information theory and statistical mechanics, Phys. Rev. 106 (1957) 620-630.
[3] B. James, B. Seaborn, Hypergeometric Functions and Their Applications, Springer, New York, NY, 1991.
[4] C. E. Shannon, A mathematical theory of communication, The Bell System Technical Journal 27 (1948) 379-423.
[5] SH. Quanxi, H. Wong, J. Xia, W. Cheung Ip, Models for extremes using the extended three-parameter burr xii system with application to flood frequency analysis / modles dextrmes utilisant le systme burr xii tendu trois paramtres et application lanalyse frquentielle des crues, Hydrological Sciences Journal 49 (2004) 685-702.
[6] H. M. Srivastava, M. Aslam Chaudhry, Ravi P. Agarwal, The incomplete pochhammer symbols and their applications to hypergeometric and related functions, Integral Transforms and Special Functions 23 (2012) 659-683.
[7] M. Tribus, R. D. Levine, The Maximum Entropy Formalism, MIT Press, Cambridge, 1979.
[8] B. Kopoci ski, W. Dziubdziela, Limiting properties of the k-th record values, Applicationes Mathematicae 15 (1976) 187-190.
[9] C. Barry Arnold, N. Balakrishnan, N. Haikady Nagaraja, Records, John Wiley & Sons, 1998.
