Bayesian prediction ofk-record values based on progressively censored data from exponential distribution

Bayesian prediction for unobserved data from exponentiated Weibull distribution based on progressive type II censoring

“…(f) Calculate MLE and observed Fisher information for α and θ in order to use these as initial values for Gibbs sampler in (3.11) and also calculate y (h) With Gibbs output of α (1) and θ (1) above, obtain y We consider two progressively type II censored samples of size m = 10 with different censoring schemes such as R1=(0, 0, 0, 0, 0, 0, 0, 0, 3, 2) and R2 = (0, 0, 2, 0, 0, 2, 0, 0, 0, 3). Following the above algorithm with α = 1.90 and θ = 4.49 as true values, the m ordered failure times with two progressive type II censoring schemes R1 and R2 are presented in Table 1, respectively.…”

“…It is also available in the field of business when to know the provision of warranty limits for the future performance of a specified number of systems. Some applications of the related topics are studied by Lin et al (2006) [10], Huang and Wu (2012) [7] and Ahmadia et al (2012) [1].…”

Prediction intervals for generalized-order statistics with random sample size

“…Huang and Wu [18] presented the statistical inferences on Weibull parameters based on data with progressively type-II censoring. Ahmadi et al [19] derived Bayesian prediction intervals for k-record values from a future sequence based on observed progressively type-II censored data from exponential distribution. When the sample size is fixed, Basiri and Ahmadi [20] obtained non-parametric prediction intervals for progressively type-II censored-order statistics in terms of upper and lower k-records.…”

Comparison of Record Ranked Set Sampling and Ordinary Records in Prediction of Future Record Statistics from an Exponential Distribution

“…Many authors have studied on the two-sample prediction. Raqab and Balakrishnan (2008) studied prediction intervals for future records, MirMostafaee and Ahmadi ( 2011) considered point prediction of future order statistics from an exponential distribution, Ahmadi et al (2012) obtained Bayesian predictors of k-record values based on progressively censored data from an exponential distribution, considered the prediction of order statistics and record values based on an ordered ranked set sample. In this study, after predicting the future record values based on Plan B through the Bayesian procedure as well as the maximum likelihood one, we are interested in comparing the performance of these plans on the mentioned issue.…”