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Naeem, Sanaa, Hussein, A.. (1400). Comparison of the percentile estimation method and mixture (maximum likelihood and least square) method for estimating parameters of Johnson bounded distribution. هنرهای کاربردی, 13(1), 2655-2663. doi: 10.22075/ijnaa.2022.5987
Sanaa Mohammed Naeem; A. N. Hussein. "Comparison of the percentile estimation method and mixture (maximum likelihood and least square) method for estimating parameters of Johnson bounded distribution". هنرهای کاربردی, 13, 1, 1400, 2655-2663. doi: 10.22075/ijnaa.2022.5987
Naeem, Sanaa, Hussein, A.. (1400). 'Comparison of the percentile estimation method and mixture (maximum likelihood and least square) method for estimating parameters of Johnson bounded distribution', هنرهای کاربردی, 13(1), pp. 2655-2663. doi: 10.22075/ijnaa.2022.5987
Naeem, Sanaa, Hussein, A.. Comparison of the percentile estimation method and mixture (maximum likelihood and least square) method for estimating parameters of Johnson bounded distribution. هنرهای کاربردی, 1400; 13(1): 2655-2663. doi: 10.22075/ijnaa.2022.5987

Comparison of the percentile estimation method and mixture (maximum likelihood and least square) method for estimating parameters of Johnson bounded distribution

International Journal of Nonlinear Analysis and Applications
مقاله 216، دوره 13، شماره 1، خرداد 2022، صفحه 2655-2663    اصل مقاله (397.84 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5987
نویسندگان
Sanaa Mohammed Naeem* ؛ A. N. Hussein
College of Management and Economics, University of Basrah, Iraq
تاریخ دریافت: 18 شهریور 1400،  تاریخ بازنگری: 04 آبان 1400،  تاریخ پذیرش: 18 آذر 1400 
چکیده
The Johnson Bonded Distribution (JSBD) is one of the distributions belonging to the Johnson Distribution family (JD) This family is considered one of the flexible distributions that enable it to represent the random behaviour of many phenomena. The method of percentile estimation and the Mixture method  (Maximum Likelihood & Least Square) were used to find estimates of the distribution parameters. The simulation results showed the advantage of the  Mixture method at large sample sizes, the accuracy of the two methods is close at average sample sizes.
کلیدواژه‌ها
Johnson distribution؛ Johnson bounded distribution؛ percentile method؛ Mixture method
مراجع

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[2] F. George, Johnson’s System of Distributions and Microarray Data Analysis, Theses, University of South Florida, 2007.

[3] D.T. Mage, An explicit solution for SB, parameters using four percentile points, Technomet. 22(2) (1980) 247–251.

[4] P. Palimitesta and C. Provasi, Estimating distribution functions in Johnson translation system by the starship procedure with simulated annealing, Int. J. Stat. 0 (1-2) (2000) 97–110.

[5] A.T. Soyink, On the parameter estimation of Johnson’s system of distribution, Benin J. Stat. 3(28) (2020) 82–90.

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