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Estimate survival function of the Topp-Leone exponential distribution with application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 5، دوره 12، شماره 2، بهمن 2021، صفحه 53-60 اصل مقاله (410.39 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5014 | ||
| نویسنده | ||
| Hind Jawad Kadhim AlBderi* | ||
| College of Administration and Economics, University of Al-Qadisiyah, Iraq | ||
| تاریخ دریافت: 15 مرداد 1399، تاریخ بازنگری: 28 شهریور 1399، تاریخ پذیرش: 06 مهر 1399 | ||
| چکیده | ||
| This is a new lifetime Exponential "distribution using the Topp-Leone generated family of distributions proposed by Rezaei et al. The new distribution is called the Topp-Leone Exponential (TLE) distribution". What is done in this paper is an estimation of the "unlabeled two parameters for Topp-Leone Exponential distribution model by using the maximum likelihood estimator method to get the derivation of the point estimators for all unlabeled parameters according to iterative techniques as Newton $-$ Raphson method, then to derive Ordinary least squares estimator method". "Applying all two methods to estimate related probability functions; death density function, cumulative distribution function, survival function and hazard function (rate function)". When examining the numerical results for probability survival function by employing mean squares error measure and mean absolute percentage measure, this may lead to work on the best method in modeling a set of real data. | ||
| کلیدواژهها | ||
| Topp-Leone؛ Maximum Likelihood estimator method؛ Newton-Raphson method؛ Ordinary least squares estimator method؛ survival function | ||
| مراجع | ||
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[1] N. Rasheed, Topp–Leone compound Rayleigh distribution: properties and applications, Res. J. Math. Stat. Sci. 7(3)(2019) 51–58. [2] F. Olayode, The Topp-Leone Rayleigh distribution with application, Amer. J. Math. Stat. 9(6) (2019) 215–220. [3] H. Reyad and S. Othman, The beta compound Rayleigh distribution: Properties and applications, Int. J. Adv. Stat. Prob. 5 (2017) 57–64. [4] H. M. Reyad, S. A. Othman , A. M. Younis and A. M. Hashis, The Kumaraswamy compound Rayleigh distribution: properties and estimation. Int. J. Adv. Math. Sci. 5(1) (2017) 36–42. [5] C. M. Douglas and C. R. George, Applied Statistics and Probability for Engineering, Third Edition, John Wiley and Sons Inc, 2003. [6] G. D. Hutcheson and N. Sofroniou, The Multivariate Social Scientist, Sage Publications, London, 1999. | ||
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