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The Beta Reduced Modified Weibull Distribution with Applications to Reliability Data
Author(s) -
Lazhar Benkhelifa
Publication year - 2021
Publication title -
journal of reliability and statistical studies
Language(s) - English
Resource type - Journals
eISSN - 2229-5666
pISSN - 0974-8024
DOI - 10.13052/jrss0974-8024.14116
Subject(s) - weibull distribution , bathtub , quantile , reliability (semiconductor) , statistics , estimator , order statistic , mathematics , quantile function , exponentiated weibull distribution , log logistic distribution , hazard , failure rate , probability density function , reliability engineering , moment generating function , cumulative distribution function , engineering , power (physics) , physics , archaeology , organic chemistry , chemistry , quantum mechanics , history
[1] C.D. Lai, M. Xie and D.N.P. Murthy. A modified Weibull distribution. EEE Transactions on Reliability, 52(1):33-37, 2003. [2] M. Bebbington, C.D. Lai, and R. Zitikis. A flexible Weibull extension. Reliability Engineering and System Safety, 92:719-726, 2007. [3] A.M. Sarhan and J. Apaloo. Exponentiated modified weibull extension distribution. Reliability Engineering and System Safety, 112:137-144, 2013. [4] F. Famoye, C. Lee and O. Olumolade. The beta-Weibull distribution. Journal of Statistical Theory and Applications, 4(2):121-136, 2005. [5] L. Benkhelifa. The Weibull Birnbaum-Saunders distribution and its applications. Statistics, Optimization and Information Computing, 9(1):61-81, 2021. [6] W. Nelson. Accelerated life testing: statistical models. data analysis and test plans. New York: Wiley; 1990. [7] G.O. Silva, E.M. Ortega and G.M. Cordeiro. The beta modified Weibull distribution. Lifetime Data Analysis, 16(3):409-430, 2010. [8] G.M. Cordeiro, E.M. Hashimoto and E.M. Ortega and . The McDonald Weibull model. Statistics, 48(2):256-278, 2014. [9] N. Singla, K. Jain and S. Kumar Sharma. The beta generalized Weibull distribution: properties and applications. Reliability Engineering and System Safety, 102:5-15, 2012. [10] A. Saboor, H.S. Bakouch and M.N. Khan. Beta Sarhan–Zaindin modified Weibull distribution. Applied Mathematical Modelling, 40: 6604, 2016. [11] B. He and W. Cui. An additive modified Weibull distribution. Reliability Engineering and System Safety, 145:28-37, 2016. [12] F. Prataviera E.M. Ortega, G.M. Cordeiro, R.R. Pescim and B.A.W. Verssania. A new generalized odd log-logistic flexible Weibull regression model with applications in repairable systems. Reliability Engineering and System Safety, 176:13–26, 2018. [13] A.A. Ahmad and M.G.M. Ghazal. Exponentiated additive Weibull distribution. Reliability Engineering and System Safety, 193:106663, 2020. [14] S.J. Almalki and J. Yuan. The new modified Weibull distribution. Reliability Engineering and System Safety, 111:164-170, 2013. [15] S.J. Almalki. Reduced new modified Weibull distribution. Communications in Statistics - Theory and Methods, 47:2297-2313, 2018. [16] W. Kuo and M.J. Zuo. Reduced new modified Weibull distribution. Optimal reliability modeling: principles and applications. Wiley; 2001. [17] N. Eugene and F. Famoye. Beta-normal distribution and its applications. Communications in Statistics - Theory and Methods, 31:497-512, 2002. [18] B.C. Arnold and H.N. Nagarajah. A first course in order statistics. New York: John Wiley, 2008. [19] I.S. Gradshteyn and I.M. Ryzhik. Table of integrals, Series and Products. Academic Press, New York; 2000. [20] R.G. Miller, G. Gong and A. Muñoz. Survival analysis. New York: John Wiley and Sons; 1981. [21] M.V. Aarset. How to identify a bathtub hazard rate. EEE Transactions on Reliability, 36(1):106-108, 1987. [22] W.Q. Meeker and L.A. Escobar. Statistical methods for reliability data. New York: Wiley; 1998. [23] Y. Liu and A.I. Abeyratne. Practical applications of bayesian reliability. New York: John Wiley and Sons; 2019.

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