
تعداد نشریات | 21 |
تعداد شمارهها | 610 |
تعداد مقالات | 9,029 |
تعداد مشاهده مقاله | 67,082,969 |
تعداد دریافت فایل اصل مقاله | 7,656,406 |
Measuring the efficiency of three methods for estimating the parameters and reliability of a two-parameter weighted exponential distribution | ||
International Journal of Nonlinear Analysis and Applications | ||
دوره 13، شماره 1، خرداد 2022، صفحه 3645-3652 اصل مقاله (375.26 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6143 | ||
نویسنده | ||
Awatif Rezzoky Al-Dubaicy* | ||
Department of Mathematics, College of Education, AL-Mustansiriyah University, Baghdad, Iraq | ||
تاریخ دریافت: 07 تیر 1400، تاریخ بازنگری: 30 مرداد 1400، تاریخ پذیرش: 08 آبان 1400 | ||
چکیده | ||
The purpose of this research is to investigate a weighted exponential distribution with two parameters [shape \& scale], including calculating the cumulative distribution and reliability functions, as well as estimating the two parameters and reliability function using three methods (MLE, MOM, Jackknife), and comparing the results using MSE with simulation. The results show the jackknife estimator of parameters and reliability function is the best. | ||
کلیدواژهها | ||
estimate؛ Jackknife؛ MLE؛ MOM؛ reliability function؛ weighted exponential distribution | ||
مراجع | ||
[1] F. Alqalla and A. Claudia, Weighted Exponential distribution different methods of estimation, Appl. Math. Inf. Sci. 9(3) (2015). [2] J. Choi and Z. Donglin, Penalized Likelihood approach for simulation analysis, Math. Statist. 79(2) (2017) 190–216. [3] R.C. Gupta and S.N.U.A. Kirmani, The role of weighted distributions in stochastic modeling, Commun. Statist. 19(9) (1990) 3147–3162. [4] J. Emmanuel and V.M. Akpan, Efficiency of some Estimation methods of the parameters of a two-parameters Pareto distribution, Amer. J. math. Stat. 8(5) (2018). [5] D. Kundu and R.D. Gupta, Bivariate generalized exponential distribution, J. Multivar. Anal. 100 (2009) 581–593. [6] M. Hamdy Salem, Inference on stress-strength reliability for weighted Weibull distribution, Amer. J. Math. Statist. 3(4) (2013) 220–226. [7] N. Zainab Muhammed, On the Double Weighted Generalized Exponential Distribution, Thesis AL-Mustansiriya Univ., 2015. [8] A. Rezzoky, A Comparison of the Methods for Estimation of Reliability Function for Burr-XII Distribution by Using Simulation, J. Coll. Sci. 1 (10) 2013. [9] R.H. Mutlk and A. Al-Dubaicy, Even power weighted generalized inverse Weibull distribution, Turk. J. Comput. Math. Educ. 12(6) (2021) 4835–4845. [10] X. Qiao and L. Zhang, Distance weighted support vector machine, Statist. Interface 8(3) (2015). | ||
آمار تعداد مشاهده مقاله: 15,632 تعداد دریافت فایل اصل مقاله: 272 |