[linearfailure_ex0] Linear Failure Rate Model

   [linearfailure_ex1]
   

   model
   {
      for( i in 1 : N )
      {
      x[i] ~ dlin.fr(alpha, beta)
      }
      
   # Prior distributions of the model parameters   
   
         alpha ~ dgamma(0.001, 0.001)
         beta ~ dunif(0, 1.0)   
   }


The data set is taken from DACS Software Reliability Dataset, Lyu (1996). The data represents the time-between-failures (time unit in miliseconds) of a software. The data given here is transformed from time-between-failures to failure times.

Lyu, M. R. (1996). Handbook of Software Reliability Engineering , IEEE Computer Society Press,
http://www.cse.cuhk.edu.hk/~lyu/book/reliability/

The MLE's are alpha =
1.7777e-03, beta=2.7776e-06

Data ( click to open )


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

Results
Node statistics
      mean   sd   MC_error   val2.5pc   median   val97.5pc   start   sample
   alpha   0.001736   3.851E-4   2.984E-6   0.001028   0.00172   0.00253   1001   50000
   beta   3.013E-6   1.146E-6   8.734E-9   8.449E-7   2.985E-6   5.361E-6   1001   50000


   Dbar   Dhat   DIC   pD   
x   1190.0   1188.0   1192.0   1.968
total   1190.0   1188.0   1192.0   1.968



[linearfailure_ex2][linearfailure_ex3]


[linearfailure_ex4][linearfailure_ex5]


[linearfailure_ex6][linearfailure_ex7]