2 research outputs found
Classical and Bayes estimation of reliability characteristics of the Kumaraswamy-Inverse Exponential distribution
In this research, the Bayesian estimators of both
the unknown model parameters, survivor (or reliability)
function and failure rate of the three-parameter Kumaraswamy-
Inverse Exponential distribution were obtained.
The symmetric and asymmetric loss functions were used
for the Bayesian estimations. Though, the Bayes estimators
could not be obtained in explicit forms. Random samples
were generated from the posterior distributions using the
Metropolis Hastings algorithm procedure and the Bayes
estimators were obtained. Comparison was made between
the Bayes estimators and the maximum likelihood estimators
using Monte Carlo simulations. In addition, the
Bayes estimators of the reliability characteristics were all
obtained whilst making use of both the symmetric and
asymmetric loss functions. However, their performance
was compared through their simulated risks. Furthermore, a
numerical study was conducted in order to compare the
proposed estimates using simulations while illustrative
examples were also presented. Two real life data sets were
analyzed for the case when all the three parameters are
unknown