A flexible Weibull extension

Weibull, 1951, A statistical distribution of wide applicability, J Appl Mech, 18, 293, 10.1115/1.4010337 Keshevan, 1980, Statistical analysis of the Hertzian fracture of pyrex glass using the Weibull distribution function, J Mater Sci, 15, 839, 10.1007/BF00552092 Sheikh, 1990, Statistical modelling of pitting corrosion and pipeline reliability, Corrosion, 46, 190, 10.5006/1.3585090 Queeshi, 1997, Probabilistic characterization of adhesive wear in metals, IEEE Trans Reliab, 46, 38, 10.1109/24.589924 Durham, 1997, Cumulative damage model for system failure with application to carbon fibers and composites, Technometrics, 39, 34, 10.2307/1270770 Almeida, 1999, Application of Weibull statistics to the failure of coatings, J Mater Process Technol, 93, 257, 10.1016/S0924-0136(99)00177-6 Fok, 2001, A numerical study on the application of the Weibull theory to brittle materials, Eng Fract Mech, 68, 1171, 10.1016/S0013-7944(01)00022-4 Newell, 2002, Analysis of recoil compressive failure in high performance polymers using two- and four-parameter Weibull models, High Perform Polym, 14, 425, 10.1177/095400830201400408 Li, 2003, Failure probability prediction of concrete components, Cem Concr Res, 33, 1631, 10.1016/S0008-8846(03)00111-X Majeske, 2003, A mixture model for automobile warranty data, Reliab Eng Syst Saf, 81, 71, 10.1016/S0951-8320(03)00073-5 Bucar, 2004, Reliability approximation using finite Weibull mixture distributions, Reliab Eng Syst Saf, 84, 241, 10.1016/j.ress.2003.11.008 Attardi, 2005, A mixed-Weibull regression model for the analysis of automotive warranty data, Reliab Eng Syst Saf, 87, 265, 10.1016/j.ress.2004.05.003 Murthy, 2004, Weibull model selection for reliability modelling, Reliab Eng Syst Saf, 86, 257, 10.1016/j.ress.2004.01.014 Gurvich, 1997, A new statistical distribution for characterizing the random length of brittle materials, J Mater Sci, 32, 2559, 10.1023/A:1018594215963 Nadarajah S, Kotz S. On the recent papers on modified Weibull distributions. IEEE Trans Reliab 2005;54:61–2. Xie, 2002, A modified Weibull extension with bathtub shaped failure rate function, Reliab Eng Syst Saf, 76, 279, 10.1016/S0951-8320(02)00022-4 Xie, 2003, Weibull-related distributions for modelling bathtub-shaped failure rate functions, 283 Murthy, 2003 Jensen, 1982 Barlow, 1981 Lai, 2001, Bathtub-shaped failure rate distributions, Hand Stat, 10, 69, 10.1016/S0169-7161(01)20005-4 Kuo, 1983, Facing the headaches of early failures: a state of the art review of burn-in decisions, Proc IEEE, 71, 1257, 10.1109/PROC.1983.12763 Gupta, 2001, Determination of change points of non-monotonic failure rates, Commun Stat—Theory Methods, 30, 1903, 10.1081/STA-100105704 Jiang, 1998, Mixture of Weibull distributions—parametric characterization of failure rate function, Appl Stochastic Models Data Anal, 14, 47, 10.1002/(SICI)1099-0747(199803)14:1<47::AID-ASM306>3.0.CO;2-E Block, 2003, Initial and final behavior of failure rate functions for mixtures and systems, J Appl Probab, 40, 721, 10.1239/jap/1059060898 Wondmagegnehu, 2004, On the behavior and shape of mixture failure rates from a family of IFR Weibull distributions, Naval Res Logistics, 51, 491, 10.1002/nav.20009 Salman Suprawhardana, 1999, Total time on test plot analysis for mechanical components of the RSG-GAS reactor, Atom Indones, 25 Lai, 2003, A modified Weibull distribution, IEEE Trans Reliab, 52, 33, 10.1109/TR.2002.805788 Xie, 1995, Reliability analysis using additive Weibull model with bathtub-shaped failure rate function, Reliab Eng Syst Saf, 52, 87, 10.1016/0951-8320(95)00149-2 Lai, 2004, Mean residual life and other properties of Weibull related bathtub-shaped failure rate distributions, Int J Reliab Qual Saf Eng, 11, 113, 10.1142/S0218539304001397 Marshall, 1997, A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika, 84, 641, 10.1093/biomet/84.3.641