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Comparison between Renyi GME and Tsallis GME for estimation Kink regression | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 743-750 اصل مقاله (353.39 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5125 | ||
| نویسندگان | ||
| Saad Obaid Jameela* 1؛ Basim Shlaibah Msallamb2 | ||
| 1Baghdad University, College of Administration and Economics, Baghdad, Iraq | ||
| 2Al-Iraqia University, College of Administration and Economics, Baghdad, Iraq | ||
| تاریخ دریافت: 28 آذر 1399، تاریخ بازنگری: 19 اردیبهشت 1400، تاریخ پذیرش: 06 خرداد 1400 | ||
| چکیده | ||
| In this paper, an estimation of the parameters of the Kink regression model was made by relying on higher order from the general maximum entropy method with two measures Tsallis and Renyi ($\alpha=3,~\alpha=4,~\alpha=5,~\alpha=6$), A practical application has been made to data for a real phenomenon in the Iraqi economy, which is inflation with the Debt/GDP ratio and a statistical analysis of it. After making a comparison with other estimation methods, as the results showed that the explanatory variable for the kink point is equal to (5), and the results show a decrease in the Debt/GDP ratio after observations Kink. | ||
| کلیدواژهها | ||
| GME؛ Kink regression؛ Renyi؛ Tsallis؛ Entropy؛ Debt/GDP | ||
| مراجع | ||
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[1] E. Ciavolino, Modelling GME and PLS estimation methods for evaluating the job satisfaction in the public sector, Link¨oping Elect. Conf. Proc. 149(14) (2008) 65–75. [2] E. Ciavolino and A. Al-Nasser, Information theoretic estimation improvement to the nonlinear gompertz’s model based on ranked set sampling, J. Appl. Quant. Meth. 5(2)(2010) 317–330. [3] P. Ganong, & S. J¨ager, A permutation test and estimation alternatives for the regression kink design, IZA Discussion Paper, 8282 (2014) 1–33. [4] A. Golan and J. Perloff, Comparison of maximum entropy and higher-order entropy estimators, J. Econ. 107(1-2) (2002) 195–211. [5] B. Hansen, Regression kink with an unknown threshold, J. Bus. Econ. Stat. 35(2) (2017) 228–240. [6] S. Kamar and B. Msallam, Comparative study between generalized maximum entropy and Bayes methods to estimate the four parameter Weibull growth model, J. Prob. Stat. (2020). [7] R. Sarma and T. Redd, A Nonparametric Plugin Entropy Estimator based Renyi Entropy in Construction of Decision Trees, Sri Krishnadevaraya University Anantapuramu, 2016. [8] P. Tarkhamtham, W. Yamaka and S. Sriboonchitta, The generalize maximum Tsallis entropy estimator in kink regression model, J. Phys. Conf. Series, 1053(1) (2018) 012103. [9] P. Tarkhamtham and W. Yamaka, High-order generalized maximum entropy estimator in Kink regression model, Thai J. Math. Special Issue, (2019) 185–200. [10] P. Tibprasorn, P. Maneejuk and S. Sriboochitta, Generalized information theoretical approach to panel regression kink model, Thai J. Math. Special Issue, (2017) 133–145. | ||
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