Robust estimates for a three-parameter exponential regression model

Joudah Irshayyid, Ahmed; Saleh, Rabab Abdulrida

doi:10.22075/ijnaa.2023.29395.4148

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	Robust estimates for a three-parameter exponential regression model
International Journal of Nonlinear Analysis and Applications
مقاله 219، دوره 14، شماره 1، فروردین 2023، صفحه 2799-2808 اصل مقاله (503.72 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29395.4148
نویسندگان
Ahmed Joudah Irshayyid^* ؛ Rabab Abdulrida Saleh
Statistics Department, College of Administration and Economics, University of Baghdad, Iraq
تاریخ دریافت: 22 آبان 1401، تاریخ بازنگری: 02 دی 1401، تاریخ پذیرش: 12 دی 1401
چکیده
Exponential regression is one of the most common and widely used models in several fields to estimate the parameters of the exponential regression model using ordinary nonlinear least square but this method is not effective in the presence of outlier values so robust methods were used to treat outlier values in this research exponential regression model are used to estimate the parameters using robust method (Median-of-Means, Forward search, M-Estimation), and the simulation method was used to compare the estimation methods with different sample sizes and assuming four percentages of the outliers of the data (10%, 20%, 30%, 40%). And through the mean square error (MSE) was made to reach the best estimation method for the parameters, where the results obtained using the simulation method showed that the forward search is the best because it gives the lowest mean of error squares.
کلیدواژه‌ها
exponential regression model؛ robust estimates؛ Median-of-Means؛ Forward search؛ Least Absolute Quantile Estimates

مراجع
[1] J.A. Achcar and S.R.C. Lopes, Linear and non-linear regression models assuming a stable distribution, Colomb. J. Statist. 39 (2016), no. 1, 109–128. [2] A.C. Atkinson, A. Corbellini and M. Riani, Robust Bayesian regression with the forward search: theory and data analysis, Test 26 (2017), no. 4, 869–886. [3] A.C. Atkinson, M. Riani and A. Cerioli, The forward search: Theory and data analysis, J. Korean Statist. Soc. 39 (2010), 117–134. [4] R. Koenker and B.J. Park, An interior point algorithm for nonlinear quantile regression, J. Econometr. 71 (1996), 265–283. [5] M. Lerasle, Selected topics on robust statistical learning theory lecture notes, Paris-Saclay University, 2019. [6] P. Liu, M. Zhang, R. Zhang and Q. Zhou, Robust estimation and tests for parameters of some nonlinear regression models, J. Math. 9 (2021). [7] R. Meyer and P.M. Roth, Modified damped least squares: an algorithm for non-linear estimation, J. Inst. Maths. Appl. 9 (1972), 218–233. [8] M. Rian and A.C. Atkinso, Robust diagnostic data analysis: transformations in regression’ technometrics, Amer. Statist. Assoc. Amer. Soc. Qual. 42 (2000), no. 4, 384–394. [9] G.A.F. Seber and C.J. Wild, Nonlinear regression, John Wiley & Sons Inc., 2003. [10] Y. Zhang and P. Liu, Median-of-means approach for repeated measures data, Commun. Statistics-Theory Meth. 50 (2021), no. 17, 3903–3912.
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Robust estimates for a three-parameter exponential regression model