Using some methods of estimating Parameters and Survival function for The Exponentiated Perks distribution with practical application

Authors

  • Mahdi Wahab Nea'ama
  • Salwa N.ALsalman

Keywords:

Perks distribution, methods of estimating

Abstract

         In this research, some characteristics of the Exponiated Perks distribution and survival function were studied and Two methods of estimation were used, namely the Maximum Likelihood method and the least squares method, and these estimation methods were derived to arrive at formulas of their capabilities. A comparison was made between the capabilities using the simulation method, as the simulation experiments were carried out using a set of samples of different sizes (10, 50,100) and each experiment was repeated (2000) once to achieve the goal and for three different models. The results were compared using one of the most important statistical measures, which is the average of the integrative error squares (IMSE). The best methods were found for each model and for each sample size. The results of the mean of squares of the integral error of the survival function were known, and a comparison was made between those results and all models where the result appeared in the best possible way. As for the applied side, a practical application was made of a random sample of data with a size of (200) Watching times of deaths per month for breast cancer patients in Basra Governorate where they took their survival period, and this sample was applied to distribute Exponiated Perks,Through the results, it became clear that the Maximum Likelihood method gave more appropriate capabilities for the data studied .

References

تهاني مهدي و سميرة مزهر وقتيبة نبيل.(2008). "مقارنة مقدرات بيز مع مقدر الأمكان الأعظم في تقدير دالة البقاء للتوزيع الطبيعي اللوغاريتمي باستخدام بيانات مراقبة من النوع الثاني". مجلة جامعة النهرين. 1, 11 (2008) , 58 – 70.

جاسم , خضر نصيف (2012) " مقارنة تقدير دالة المعولية للتوزيع الاسي المختلط مع تطبيق عملي " اطروحة دكتوراة , كلية الادارة والاقتصاد ـــبغداد .

هرمز، أمير حنا، (1990)، "الإحصاء الرياضي"، دار الكتب للطباعة والنشر ـــــ جامعة الموصل.

Al-Fawzan, M., (2000), "Methods for Estimating the Parameters of the Weibull Distribution", Email. mfawzan@kacst.edu.sa, kingAbdulaziz city for science and Technology .

Al-Sutany ,Shurooq A.and Mohammed , Sahar A. (2018)"Comparison between Bayesian and Maximum Likelihood Methods for parameters and The Reliability function of Perks Distribution "Iraqi Journal of Scicnce Vol.59, No.2 PP: 369-376 .

Chaudhary , Arunkumar and Kumar , Vijay (2013) " A Bayesian Analysis of perks Distribution Vie Markov Chain Monte Carlo Simulation " Nepal Journal of Science and Technology Vol. 14 .No.1 pp:153-166 .

Chaudhary ,A.K. and Campus, Nepal Commerce (2018) "A study of Perks – II Distribution via Bayesian Paradigm " Pravaha Journal .

Chen , Qming and Egan , David Mo (2006) " A Bayesian Method for Transformer Life Estimation Using Perks Hazard Function " IEEE Transaction on power systems Vol.21,No.4, November.

Dzages Shireen : ahmed aulay man (2009):"A comparative Study of the immunological effect of two different medical Regimens on the breast cancer " Doctoral thisis (dept of microbiology , the haeler medical university erbil Iraq

James Dx and Nancy ED (2006) "estrogen carcinogenesis in Breast cancer "the new England journal of medicine 354:270-282

Mood, Alexander &Geraybill , Frawklina (1972 ) "Introduction to Theory of Statistics ",International Student Edition, Third Edition .

Nadaraja,S and Bakar,S.A.A (2013) "Anew R package for actuarial survival models" computational statistics 28,p. 2139-2160 .

Nassar,M. and Mode ,N.(2013) "A new Gonzalez on of the pareto –Geometric Distribution " Journal of the Egyption Mathematical Socicty , Vol.21, PP:148-155.

Oguntunde,pelumiE.and others (2018)"Introducing the kumaraswamy perks distribution " proceedings of the world congress on engineering and computer science 2018 Vol.II

Richards,S.J (2010) "Ahandbook of parametric survival models for actuarial use" CrossRef citations to date Altmetric p.p. 233-257 .

Shabri , ANI, (2007)" L.Q. Moments for Statistical analysis of Extreme Events" Journal of modern Applied Statistical Method Vol. 6 , ISSUE 1, article 21 , PP:228-238.

Singh,Bhupendra (2016) "An Additive Perks-Weibull Model with Bathtub-Shaped Hazard rate function"

Singh,Bhupendra (2015) "Classical and Bayesian estimation using type-II hybrid censored data from perks distribution" Om parkash,pp. 493-510 .

Talacko , Joseph (2016) "A note about a family of Perks distribution " spring Indian statistical institute are collaborating with Jstor to digitize , preserve and extend access to sankhya : the Indian Journal of statistics Vol.20 No.3/4 .

Teimouri , Mahdi and Gupta ,Arjum,K. (2013) " On the three parameter weibull distribution shape parameter estimation " Journal of data science , Vol.11 P.P : 403-414 .

Tyagi,Abhishek ;Choudhary,Neha and Singh,Bhupendra (2019) "Discrete additive perks –weibull distribution :properties and applications" life cycle reliability and safety engineering 8(3), p.p.183-199 .

Zeng ,Hongtao.Lan,Tian and Chen,Qiming (2016) "Five and four parameter lifetime distributions for bathtub-shaped failure rate using perks mortality equation" Reliability Engineering and system safety 152,pp 307-315 .

Published

2024-07-02

How to Cite

مهدي وهاب نعمة نصر الله, & سلوى نعيم جميل السلمان. (2024). Using some methods of estimating Parameters and Survival function for The Exponentiated Perks distribution with practical application. Iraqi Journal for Administrative Sciences, 17(67), 108–127. Retrieved from https://mail.journals.uokerbala.edu.iq/index.php/ijas/article/view/2025