Name
Abstract | ||
|---|---|---|
The present study deals with the method of estimation of the parameters of k-components load-sharing parallel system model
in which each component’s failure time distribution is assumed to be geometric. The maximum likelihood estimates of the load-share
parameters with their standard errors are obtained. (1 − γ) 100% joint, Bonferroni simultaneous and two bootstrap confidence intervals for the parameters have been constructed. Further,
recognizing the fact that life testing experiments are time consuming, it seems realistic to consider the load-share parameters
to be random variable. Therefore, Bayes estimates along with their standard errors of the parameters are obtained by assuming
Jeffrey’s invariant and gamma priors for the unknown parameters. Since, Bayes estimators can not be found in closed form expressions,
Tierney and Kadane’s approximation method have been used to compute Bayes estimates and standard errors of the parameters.
Markov Chain Monte Carlo technique such as Gibbs sampler is also used to obtain Bayes estimates and highest posterior density
credible intervals of the load-share parameters. Metropolis–Hastings algorithm is used to generate samples from the posterior
distributions of the unknown parameters. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s10260-008-0111-y | Statistical Methods and Applications |
Keywords | Field | DocType |
random variable,bayes estimator,maximum likelihood estimator,failure rate,standard error,confidence interval,parallel systems,gibbs sampler,posterior distribution,dynamic system,credible interval,markov chain monte carlo,metropolis hastings algorithm,maximum likelihood estimate | Econometrics,Random variable,Markov chain Monte Carlo,Prior probability,Statistics,Confidence interval,Bayes estimator,Mathematics,Gibbs sampling,Estimator,Bayes' theorem | Journal |
Volume | Issue | ISSN |
18 | 4 | 1613-981X |
Citations | PageRank | References |
3 | 0.63 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bhupendra Singh | 1 | 35 | 5.44 |
| K. K. Sharma | 2 | 66 | 2.84 |
| Anuj Kumar | 3 | 3 | 0.63 |