نوع المقالة : Research Paper
المؤلفون
1 كلية العلوم / جامعة الانبار
2 جامعة الانبار/ رئاسة الجامعة
الملخص
في هذا البحث تم اشتقاق الصيغة الرياضية لدالة المعولية لـ عندما تكون تمثل نقاط قوة تخضع لإحدى الضغوطات بافتراض أن تتبع توزيع رالي العام المستقل. تم تقدير Rs المعطاة للتوزيع، باستخدام مقدر الامكان الاعظم (ML) ، مقدر الانكماش (استخدام ثلاث انواع (، مقدر المربعات الصغرى ( (lsوالطريقة البيزية .(B) وكذلك عمل مقارنة بين نتائج طرق تقدير دالة الموثوقية بواسطة متوسط الخطأ التربيعي .(MSE)
الكلمات الرئيسة
- Abbas N.S & Maymona A.A, ," Estimate the Shape Parameter of Generalize Rayleigh Distribution Using Bayesian - Shrinkage Technique", International Journal of Innovative Science, Engineering & Technology, Vol. 2 Issue 6, ISSN 2348 - 7968
- Al-Kutubi, Hadeel, S. and Ibrahim, Noor A. (2009). On the estimation of Survival function and parameter Exponential Life Time Distribution, Journal of Mathematics and Statistics 5(2): 130-135.
- Azzalini, A. and Chiogna, M. (2004). Some results on stress-strength model for Skew- Normal variates. Metron LXII, 315-326.
- Barlow, R. E. and Proschan, F. (1981). Statistical Theory of Reliability and life testing, Maryland, Silver Spring.
- Bhattacharyya, G. K. and Johnson, R. A. (1974). Estimation of reliability in a multi component stress-strength model. J. Amer. Stat. Assn., 69, 966-970.
- Bilikam, J.E. (1985). Some stochastic Stress-strength Process, IEEE transactions on reliability. .
- Church and Harris (1970). The estimation of reliability from stress strength relationships. Technometrics, 12, 49-54.
- Draper, N. R. and Guttman, I. (1978). Bayesian analysis of reliability in multi component stress-strength models, Commun. Statist. Theory-Methods, A7, pp. 441-451.
- Hanagal, D. D. (1996b). Estimation of system reliability from stress-strength relationship, Communications in Statistics, Theory and Methods, 25(8), 1783
- Merovei,F,(2014)," Transumuted Generalized Rayleigh distribution", Journal of statistic Applications and Probability, No.1, pp.9-20.
- Mudholkar, G.S. and Srivastava, D.K. (1993), "Exponentiated Weibull family for analyzing bathtub failure data", IEEE Transactions on Reliability, vol. .
- Rao, (2014)," Estimation of Reliability in Multicomponent Stress-Strength Based on Generalized Rayleigh Distribution", Journal of Modern Applied Statistical Methods, Vol.13, No, 24 .
- Raqab, M.Z. and Kundu D., (2005), "Generalized Rayleigh Distribution: Different method of estimation, Computational Statistics and data analysis, Vol. 49, pp.187-200.
- Surles, J.G. and Padgett, W.J. (2001), "Inference for reliability and stress-strength for a scaled Burr Type X distribution", Lifetime Data Analysis, vol. .
- A, Yahaya.A ,(2016)," Bayesian Estimation for the shape parameter of Generalized Rayleiglh distribution under non-informative Prior", International Journal of Advanced Statistics and Probability, Vol.4 No.1, pp.1
- Wang, L., Dey, S., Tripathi, Y. M., & Wu, S. J. (2020). Reliability inference for a multicomponent stress-strength model based on Kumaraswamy distribution. Journal of Computational and Applied Mathematics, 376,
- Maurya, R. K., & Tripathi, Y. M. (2020). Reliability estimation in a multicomponent stress-strength model for Burr XII distribution under progressive censoring. Brazilian Journal of Probability and Statistics, 34(2), 345-369.14
)
