On the upper truncated Weibull distribution and its reliability implications

Reliability Engineering and System Safety

Volumn 96, Issue 1, 2011, Pages 194-200

  Zhang, Tieling ^a   Xie, Min ^b  

^a Vestas Technology RandD Singapore ^*  (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Bathtub shaped failure rate; Maximum likelihood estimation; Parameter estimation; Truncated Weibull distribution; Weibull probability plot

Indexed keywords

BATHTUB SHAPED FAILURE RATE; COMPETITIVE MODELS; GRAPHICAL APPROACH; LIFETIME DATA; MODELING COMPONENT; PARAMETER ESTIMATION METHOD; PARAMETRIC ANALYSIS; SYSTEM FAILURES; TEST CONDITION; TEST DATA; WEIBULL; WEIBULL PROBABILITY PLOT;

MAXIMUM LIKELIHOOD ESTIMATION; METAL ANALYSIS; PARAMETER ESTIMATION; PROBABILITY;

WEIBULL DISTRIBUTION;

EID: 78649315926     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2010.09.004     Document Type: Conference Paper

References (35)

1. A.K. Sheikh, J.K. Boah, and M. Younas Truncated extreme value model for pipeline reliability Reliab Eng & Sys Saf 25 1989 1 14
2. B.R. Zutter, R.G. Oderwald, P.A. Murphy, and R.M. Farrar Jr. Characterizing diameter distributions with modified data types and forms of the Weibull distribution Forest Science 32 1986 37 48
3. M. Maltamo, K. Eerikinen, J. Pitknen, J. Hyypp, and M. Vehmas Estimation of timber volume and stem density based on scanning laser altimetry and expected tree size distribution functions Rem Sens Environ 90 2004 319 330
4. M. Palahi, T. Pukkala, and E. Blasco Comparison of beta, Johnson's SB, Weibull and truncated Weibull functions for modeling the diameter distribution of forest stands in Catalonia (north-east of Spain) Eur J Forest Res 126 4 2007 563 571
5. A. Deperrois, A. Bignonnet, and P. Merrien Probabilistic design methods for multiaxial high-cycle fatigue A. Pineau, A. Cailletaud, T.C. Lindley, Multiaxial Fatigue and Design: Papers Presented at the Fourth International Conference on Biaxial/Multiaxial Fatigue, held in Saint-Germain en Laye, France 1996 Mechanical Engineering Publications London 445 460
6. M.G. Pereira, T. Calado, C.C. DaCamara, and S.M. Leite Parametric models of Portuguese fire size distribution Geophys Res Abstr 6 2004 06008
7. S. Martinez On a test for generalized upper truncated Weibull distributions Stat Probab Lett 12 1991 273 279
8. S.P. Nishenko Seismic potential for large and great interpolate earthquakes along the Chilean and Peruvian margins of South America: a quantitative reappraisal J Geophys Res 90 B5 1985 3589 3615
9. D.R. Wingo Parametric point estimation for a doubly-truncated Weibull distribution Microelectron Reliab 28 4 1988 613 617
10. M.M. Mittal, and R.C. Dahiya Estimating the parameters of a truncated Weibull distribution Commun StatTheory Meth 18 6 1989 2027 2042
11. O.A. Shalaby, and M. El-Yousef Bayesian analysis of the parameters of a doubly truncated Weibull distribution Microelectron Reliab 33 8 1993 1199 1211
12. O.A. Shalaby The Bayes risk for the parameters of doubly truncated Weibull distribution Microelectron Reliab 33 15 1993 2189 2192
13. T. Seki, and S. Yokoyama Simple and robust estimation of the Weibull parameters Microelectron Reliab 33 1 1993 45 52
14. L. Yan, J.R. English, and T.L. Landers Modeling latent and patent failures of electronic products Microelectron Reliab 35 12 1995 1501 1510
15. R.E. Glaser Weibull accelerated testing with unreported early failures IEEE Trans Reliab 44 1 1995 31 36
16. J. Navarro, and J.M. Ruiz Failure-rate functions for doubly-truncated random variables IEEE Trans Reliab 45 1996 685 690
17. R.A. Betensky, and E.C. Martin Commentary: failure-rate functions for doubly-truncated random variables IEEE Trans Reliab 52 1 2003 7 8
18. B. Efron, and V. Petrosian Nonparametric methods for doubly truncated data J Am Statist Assoc 94 447 1999 824 834
19. A.E.L.-B.A. Ahmad, and M.A. Fawzy Recurrence relations for single moments of generalized order statistics from doubly truncated distributions J Stat Plann Infer 117 2003 241 249
20. J.W. Jawitz Moments of truncated continuous univariate distributions Adv Water Resour 27 2004 269 281
21. S. Teodorescu, and E. Paniatescu On the truncated composite WeibullPareto model Math Rep 11 3 2009 259 273
22. C.D. Lai, M. Xie, and DNP. Murthy A modified Weibull distribution IEEE Trans Reliab 52 1 2003 33 37
23. M. Xie, Y. Tang, and T.N.A. Goh A modified Weibull extension with bathtub-shaped failure rate function Reliab Eng Sys Saf 76 3 2002 279 285
24. A.W. Marshall, and I.A. Olkin New method for adding a parameter to a family of distributions with application to the exponential and Weibull families Biometrika 84 3 1997 641 652
25. E.T. Wondmagegnehu, J. Navarro, and P.J. Hernandez Bathtub shaped failure rates from mixtures: a practical point of view IEEE Trans Reliab 54 2 2005 270 275
26. J. Navarro, A. Guillamon, and M.C. Ruiz Generalized mixtures in reliability modeling: applications to the construction of bathtub shaped hazard models and the study of systems Appl Stochastic Model Bus Ind 25 3 2009 323 337
27. R.P. McEwen, and B.R. Parresol Moment expressions and summary statistics for the complete and truncated Weibull distribution Commun StatSer A: Theory Meth 20 1991 1361 1372
28. R. Jiang, and D.N.P. Murthy Reliability modeling involving two Weibull distributions Reliab Eng Sys Saf 47 1995 187 198
29. W. Nelson Applied Life Data Analysis 1982 John Wiley & Sons New York
30. 〈 http://en.wikipedia.org/wiki/Censoring-(statistics) 〉 (accessed on March 1, 2010).
31. K. Xu, M. Xie, L.C. Tang, and S.L. Ho Application of neural networks in forecasting engine systems reliability Appl Soft Comput 2 2003 255 268
32. W.Q. Meeker, and L.A. Escobar Statistical Methods for Reliability Data 1998 John Wiley & Sons New York pp. 153-169
33. K.P. Burnham, and D.R. Anderson Model Selection and InferenceA Practical InformationTheoretic Approach 1998 Springer-Verlag New York pp. 21-29 & pp. 43-74
34. M. Xie, and C.D. Lai On the increase of the expected lifetime by parallel redundancy Asia-Pacific J Oper Res 13 2 1996 171 179
35. C.D. Lai, and M. Xie Relative ageing for two parallel systems and related problems Math Comp Model 38 2003 1339 1345