Modified Weibull model: A Bayes study using MCMC approach based on progressive censoring data

Aarset, 1987, How to identify bathtub hazard rate, IEEE Transactions on Reliability, 36, 106, 10.1109/TR.1987.5222310

Balakrishnan, 2007, Progressive censoring methodology: an appraisal (with discussions), TEST, 16, 211, 10.1007/s11749-007-0061-y

Balakrishnan, 2000

Balasooriya, 2000, Reliability sampling plan for log-normal distribution, IEEE Transactions on Reliability, 49, 199, 10.1109/24.877338

Efron B. The jackknife, the bootstrap, and other resampling plans. Society of Industrial and Applied Mathematics CBMS-NSF Monographs; 1982.

Gilks, 1996

Graves, 2008, Using simultaneous higher-level and partial lower-level data in reliability assessments, Reliability Engineering & System Safety, 93, 1273, 10.1016/j.ress.2007.07.002

Green, 1994, Bayesian estimation for the three-parameter Weibull distribution with tree diameter data, Biometrics, 50, 254, 10.2307/2533217

Guan, 2012, An efficient analytical Bayesian method for reliability and system response updating based on Laplace and inverse first-order reliability computations, Reliability Engineering and System Safety, 97, 1, 10.1016/j.ress.2011.09.008

Gupta, 2008, A Bayes study using Markov Chain Monte Carlo simulation, Reliability Engineering & System Safety, 93, 1434, 10.1016/j.ress.2007.10.008

Hastings, 1970, Monte Carlo sampling methods using Markov chains and their applications, Biometrika, 57, 97, 10.1093/biomet/57.1.97

Jafari JM, Marchand E, Parsian A. Bayesian and Robust Bayesian analysis under a general class of balanced loss functions. Stat Papers 2010; Doi:10.1007/s00362-010-0307-8.

Jiang, 2008, Markov Chain Monte Carlo methods for parameter estimation of the modified Weibull distribution, Journal of Applied Statistics, 35, 647, 10.1080/02664760801920846

Jiang, 2010, On MLEs of the parameters of a modified Weibull distribution for progressively type-two censored samples, Journal of Applied Statistics, 37, 617, 10.1080/02664760902803289

Lai, 2004, Mean residual life and other properties of Weibull related bathtub shape failure rate distributions, International Journal of Reliability, Quality and Safety Engineering, 11, 113, 10.1142/S0218539304001397

Madi, 2009, Bayesian inference for the generalized exponential distribution based on progressively censored data, Communications in Statistics—Theory and Methods, 38, 2016, 10.1080/03610920902855951

Metropolis, 1953, Equations of state calculations by fast computing machine, Journal of Chemical Physics, 21, 1087, 10.1063/1.1699114

Nadarajah, 2005, On the moments of the modified Weibull distribution, Reliability Engineering & System Safety, 90, 114, 10.1016/j.ress.2004.09.002

Ng, 2005, Parameter estimation for a modified Weibull distribution for progressively type-II censored samples, IEEE Transactions on Reliability, 54, 374, 10.1109/TR.2005.853036

Smith, 1993, Bayesian computation via Gibbs sampling and related Markov Chain Monte Carlo methods (with discussion), Journal of the Royal Statistical Society, Series B, 55, 3

Soliman, 2005, Estimation of parameters of life from progressively censored data using Burr-XII Model, IEEE Transactions on Reliability, 54, 34, 10.1109/TR.2004.842528

Tierney, 1994, Markov chains for exploring posterior distributions (with discussion), The Annals of Statistics, 22, 1701, 10.1214/aos/1176325750

Touw, 2009, Bayesian estimation of mixed Weibull distributions, Reliability Engineering & System Safety, 94, 463, 10.1016/j.ress.2008.05.004

Upadhyay, 2010, A Bayes analysis of modified Weibull distribution via Markov Chain Monte Carlo simulation, Journal of Statistical Computation and Simulation, 80, 241, 10.1080/00949650802600730

Wang, 2000, A new model with bathtub-shaped failure rate using an additive Burr XII distribution, Reliability Engineering & System Safety, 70, 305, 10.1016/S0951-8320(00)00066-1

Wang, 2009, A probabilistic-based airframe integrity management model, Reliability Engineering & System Safety, 94, 932, 10.1016/j.ress.2008.10.010

Xie, 1996, Reliability analysis using an additive Weibull model with Bathtub-shaped failure rate function, Reliability Engineering & System Safety, 52, 87, 10.1016/0951-8320(95)00149-2

Xie, 2003, A modified Weibull distribution, IEEE Transactions on Reliability, 52, 33, 10.1109/TR.2002.805788

Xie, 2002, A modified Weibull extension with bathtub shaped failure rate function, Reliability Engineering & System Safety, 76, 279, 10.1016/S0951-8320(02)00022-4

Xie, 2004, On changing points of mean residual life and failure rate function for some generalized Weibull distribution, Reliability Engineering & System Safety, 84, 293, 10.1016/j.ress.2003.12.005

Zellner, 1986, Bayesian estimation and prediction using asymmetric loss functions, Journal of the American Statistical Association, 81, 446, 10.2307/2289234