پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 620 |
| تعداد مقالات | 9,101 |
| تعداد مشاهده مقاله | 67,330,618 |
| تعداد دریافت فایل اصل مقاله | 7,809,493 |
Estimation of the survival function based on the log-logistic distribution | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 11، دوره 13، شماره 1، خرداد 2022، صفحه 127-141 اصل مقاله (412.72 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5466 | ||
| نویسندگان | ||
| Amina Ibrahim* ؛ Bayda Atiya Kalaf | ||
| Department of Mathematics, College of Education for pure Sciences, Ibn-Al-Haitham , University of Baghdad, Iraq | ||
| تاریخ دریافت: 20 اسفند 1399، تاریخ بازنگری: 26 فروردین 1400، تاریخ پذیرش: 30 اردیبهشت 1400 | ||
| چکیده | ||
| This paper proposes a new method by hybrid Simplex Downhill Algorithm with Moment Method (SMOM) to estimate the parameters of Log-Logistic distribution based on Survival functions. Simulation is used to compare the suggested methods with two classical methods (Maximum Likelihood Estimator and with Moment Method). The results demonstrate that SMOM was efficient than the maximum likelihood Estimator and Moment method based on Mean Square Error (MSE). | ||
| کلیدواژه‌ها | ||
| hybrid Simplex Downhill Algorithm؛ Log-Logistic distribution؛ Mean Square Error | ||
| مراجع | ||
|
[1] K. A. Bayda, A new algorithm to estimate the parameters of log-logistic distribution based on the survival functions, J. Phys. Conf. Series, IOP Publishing, 1879 (2021) 032037. [2] A. Cruz Joseph and S. Wishart David, Applications of machine learning in cancer prediction and prognosis, Cancer Inf. 2 (2006). [3] K. Fotiadis Konstantina, P. Themis, P. Exarchos, P. Konstantinos, V. Michalis Karamouzis and I. Dimitrios, Machine learning applications in cancer prognosis and prediction, Comput. Struct. Biotech.J. 13 (2015) 8–17. [4] C. Geerdens, P. Janssen and K. Van, Goodness-of-fit test for a parametric survival function with cure fraction, Test 29 (2020) 768–792. [5] G. Kleinbaum David and M. Klein, Survival Analysis: A Self-learning Text, Springer Science & Business Media, 2006. [6] J.A. Nelder and R. Mead, A simplex method for function minimization, Comput. J. 7 (1965) 308–313. [7] M.O. Ojo and A.K. Olapade, On the generalized Logistic and Log-Logistic distribution, Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria, Kraguje vac J. Math. 25 (2003) 65–73. [8] S. H. Raheem, H. K. Mansor, B. A. Kalaf and A. N. Salman, A Comparison for some of the estimation methods of the parallel stress-strength model In the case of inverse Rayleigh distribution, First Int. Conf. Comput. Appl. Sci. (2019) 22–27. [9] R. Jason, N. John, P. Randal, V. Christof, N. Brian and W. Eric, A practical guide to understanding kaplan-meir curves, J. Amer. Acad. Otolary. Head Neck Surg. 143 (2010) 331–6. [10] A.N. Salman, S.H. Rahiem and B.A. Kalaf,Estimate the scale parameter of exponential distribution via modified two stage shrinkage technique, J. College Educ. 2010(6) (2010) 62–75. [11] R.P. Siarry Chelouah, A hybrid method combining continuous tabu search and neldermead simplex algorithms for the global optimization of multiminima functions, European J. Oper. Res. 161(3) (2005) 636–654. [12] T.A.Y. AL-Yasseri, Using Simulation to Estimate Two Parameters and Reliability Function for Logistic Distribution, Master Thesis, College of Education, Al-Mustansirah University, 2014. [13] A.A. Zaidan, B. Atiya, M.A. Bakar and B.B. Zaidan, A new hybrid algorithm of simulated annealing and simplex downhill for solving multiple-objective aggregate production planning on fuzzy environment, Neural Comput. Appl. 31 (2019) 1823–1834. | ||
|
آمار تعداد مشاهده مقاله: 16,163 تعداد دریافت فایل اصل مقاله: 1,040 |
||