Generalized mixtures of Weibull components

Attardi L, Guida M, Pulcini C (2005) A mixed-Weibull regression model for the analysis of automotive warranty data. Reliab Eng Syst Saf 87:265–273

Badar MG, Priest AM (1982) Statistical aspects of fiber and bundle strength in hybrid composites. In: Hayashi T, Kawata K, Umekawa S (eds) Progress in science and engineering composites, ICCM-IV, Tokyo, pp 1129–1136

Baggs GE, Nagaraja HN (1996) Reliability properties of order statistics from bivariate exponential distributions. Commun Stat Stoch Models 12:611–631

Bagnoli M, Bergstrom T (2005) Log-concave probability and its applications. Econ Theory 26:445–469

Barlow RE, Proschan F (1981) Statistical theory of reliability and life testing: probability models. To begin with. Silver Spring, Maryland

Bartholomew DJ (1969) Sufficient conditions for a mixture of exponentials to be a probability density function. Ann Math Stat 40:2183–2188

Block HW, Langberg NA, Savits TH (2012) A mixture of exponential and IFR gamma distributions having an upsidedown bathtub-shaped failure rate. Probab Eng Inf Sci 26:573–580

Block HW, Langberg NA, Savits TH, Wang J (2010) Continuous mixtures of exponentials and IFR gammas having bathtub-shaped failure rates. J Appl Probab 47:899–907

Bučar T, Nagode M, Fajdiga M (2004) Reliability approximation using finite Weibull mixture distributions. Reliab Eng Syst Saf 84:241–251

Carta JA, Ramírez P (2007) Analysis of two-component mixture Weibull statistics for estimation of wind speed distributions. Renew Energy 32:518–531

Ebden M, Stranjak A, Roberts S (2010) Visualizing uncertainty in reliability functions with application to aero engine overhaul. J R Stat Soc Ser C 59:163–173

Elmahdy EE, Aboutahoun AW (2013) A new approach for parameter estimation of finite Weibull mixture distributions for reliability modeling. Appl Math Model 37:1800–1810

Farcomeni A, Nardi A (2010) A two-component Weibull mixture to model early and late mortality in a Bayesian framework. Comput Stat Data Anal 54:416–428

Franco M, Vivo JM (2002) Reliability properties of series and parallel systems from bivariate exponential models. Commun Stat Theory Methods 31:2349–2360

Franco M, Vivo JM (2006) On log-concavity of the extremes from Gumbel bivariate exponential distributions. Statistics 40:415–433

Franco M, Vivo JM (2007) Generalized mixtures of gamma and exponentials and reliability properties of the maximum from Friday and Patil bivariate exponential model. Commun Stat Theory Methods 36:2011–2025

Franco M, Vivo JM (2009a) Constraints for generalized mixtures of Weibull distributions with a common shape parameter. Stat Probab Lett 79:1724–1730

Franco M, Vivo JM (2009b) Stochastic aging classes for the maximum statistic from Friday and Patil bivariate exponential distribution family. Commun Stat Theory Methods 38:902–911

Franco M, Vivo JM, Balakrishnan N (2011) Reliability properties of generalized mixtures of Weibull distributions with a common shape parameter. J Stat Plan Inference 141:2600–2613

Jiang R, Zuo MJ, Li HX (1999) Weibull and inverse Weibull mixture models allowing negative weights. Reliab Eng Syst Saf 66:227–234

Johnson NL, Kotz S, Balakrishnan N (1994) Continuous univariate distributions, vol 1, 2nd edn. Wiley, New York

Kokonendji C, Mizere D, Balakrishnan N (2008) Connections of the Poisson weight function to overdispersion and underdispersion. J Stat Plan Inference 138:1287–1296

Kundu D, Basu S (2000) Analysis of incomplete data in presence of competing risks. J Stat Plan Inference 87:231–239

Marín JM, Rodríguez MT, Wiper MP (2005) Using Weibull mixture distributions to model heterogeneous survival data. Commun Stat Simul Comput 34:673–684

Mosler K, Scheicher C (2008) Homogeneity testing in a Weibull mixture model. Stat Pap 49:315–332

Navarro J, Guillamon A, Ruiz MC (2009) Generalized mixtures in reliability modelling: applications to the construction of bathtub shaped hazard models and the study of systems. Appl Stoch Models Bus Ind 25:323–337

Patra K, Dey DK (1999) A multivariate mixture of Weibull distributions in reliability modeling. Stat Probab Lett 45:225–235

Qin X, Zhang JS, Yan XD (2012) Two improved mixture Weibull models for the analysis of wind speed data. J Appl Meteorol Climatol 51:1321–1332

Shaked M, Shanthikumar JG (2006) Stochastic orders, 2nd edn. Springer, New York

Sinha SK (1987) Bayesian estimation of the parameters and reliability function of mixture of Weibull life distributions. J Stat Plan Inference 16:377–387

Steutel FW (1967) Note on the infinite divisibility of exponential mixtures. Ann Math Stat 38:1303–1305

Tsionas EG (2002) Bayesian analysis of finite mixtures of Weibull distributions. Commun Stat Theory Methods 31:37–48

Wondmagegnehu ET (2004) On the behavior and shape of mixture failure rates from a family of IFR Weibull distributions. Nav Res Logist 51:491–500

Wondmagegnehu ET, Navarro J, Hernandez PJ (2005) Bathtub shaped failure rates from mixtures: a practical point of view. IEEE Trans Reliab 54:270–275

Xie M, Lai CD (1995) Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function. Reliab Eng Syst Saf 52:87–93