[ext_exponential_ex0] Extended Exponential Model
(Marshall-Olkin)
   
   [ext_exponential_ex1]
      
   model
   {
      for( i in 1 : N )
      {
      x[i] ~ dext.exp(alpha, lambda)
      }
      
   # Prior distributions of the model parameters   
      
         alpha ~ dgamma(0.001, 0.001)   
         lambda ~ dgamma(0.001, 0.001)               
   }

The data set gives 100 observations on breaking stress of carbon fibres,Nichols and Padgett(2006).

Marshall, A. W. and Olkin, I. (1997). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika , 84(3) , 641-652.

Nichols, M.D. and W.J. Padgett, W.J. (2006). A bootstrap control chart for Weibull percentiles,
Quality and Reliability Engineering International , 22, 141-151.

The MLE’s are alpha =75.67982, ; lambda= 1.67576,

Data ( click to open )


Inits for chain 1        Inits for chain 2     ( click to open )

Results
      

[ext_exponential_ex2]

[ext_exponential_ex3]

[ext_exponential_ex4]
[ext_exponential_ex5]
[ext_exponential_ex6]