Predicting future lifetime based on random number of three parameters Weibull distribution

Mathematics and Computers in Simulation

Volumn 81, Issue 9, 2011, Pages 1842-1854

  El Adll, Magdy E ^a  

^a Helwan University   (Egypt)

Author keywords

Monte Carlo simulation; Order statistics; Predicative interval; Probability coverage; Truncated distributions

Indexed keywords

MONTE CARLO SIMULATION; ORDER STATISTICS; PREDICATIVE INTERVAL; PROBABILITY COVERAGE; TRUNCATED DISTRIBUTIONS;

COMPUTER SIMULATION; MONTE CARLO METHODS; PROBABILITY; QUALITY ASSURANCE; RELIABILITY THEORY;

WEIBULL DISTRIBUTION;

EID: 79955562945     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2011.02.003     Document Type: Article

References (19)

1. Z.A. Aboeleneen Inference for Weibull distribution under generalized order statistics Math. Comput. Simul. 81 2010 26 36
2. J.M. Buhrman On order statistics when the sample size has a binomial distribution Statist. Neerl. 27 1973 125 126
3. H.A. David, and H.N. Nagaraja Order Statistics third edition 2003 Wiley NJ
4. M.H. Gail, and J.L. Gastwirth A scale-free goodness of fit test for the exponential distribution based on the Gini Statistic J. R. Stat. Soc. B 40 1978 350 357
5. S. Geisser Prediction analysis S. Kotz, N.L. Johnson, C.B. Read, Encyclopaedia Stat. Sci., vol. 7 1986 Wiley New York 158 170
6. J.F. Lawless A prediction problem concerning samples from the exponential distribution with application in life testing Technometrics 13 1971 725 730
7. J.F. Lawless Statistical Model & Methods for Lifetime Data 1982 Wiley New York
8. H.-M. Lee, W.C. Lee, C.L. Lei, and J.W. Wu Computational procedure of assessing lifetime performance index of Weibull lifetime products with the upper record values Math. Comput. Simul. 81 2011 1177 1189
9. G.S. Lingappaiah Prediction in exponential life testing Canad. J. Statist. 1 1973 113 117
10. G.S. Lingappaiah Bayesian approach to the prediction problem in the exponential population IEEE Trans. Reliab. R-27 1978 222 225 (Pubitemid 9397721)
11. G.S. Lingappaiah Bayesian approach to prediction and the spacings in the exponential distributions Ann. Instit. Statist. Math. 31 1979 391 401
12. W.B. Nelson Applied Life Data Analysis 1982 Wiley NewYork
13. K. Raghunandanan, and S.A. Patil On order statistics for random sample size Statist. Neerl. 26 1972 121 126
14. H. Rinne The Weibull Distribution 2009 Taylor & Francis Group LLC
15. D.R. Thoman, L.J. Bain, and C.E. Antel Inferences on the parameters of the Weibull distribution Technometrics 11 1969 445 446
16. L. Wang, and X. Wang The life-span prediction of a system connected in series Math. Comput. Simul. 79 2009 1770 1777
17. Z. Yang, S.P. See, and M.S.P. Xie Transformation approaches for the construction of Weibull prediction interval Comput. Statist. Data Anal. 43 2003 357 368 (Pubitemid 36845036)
18. F. Yildirim Monte Carlo comparison of parameter estimates of the three parameter Weibull distribution J. Statist. Res. 30 1996 121 126
19. H.K. Yuen, and S.K. Tse Parameters estimation for Weibull distributed lifetimes under progressive censoring with random removals J. Stat. Comput. Simul. 55 1996 57 71