In this article, oneand two-sampleBayesian prediction intervals based on progressively Type-II censored data are derived. For the illustration of the developed results, the exponential, Pareto, Weibull and Burr Type-XII models are used as examples. Some of the previous results in the literature such as Dunsmore (Technometrics 16:455–460, 1974), Nigm andHamdy (Commun Stat TheoryMethods 16:1761–1...

A second-order expansion is established for predictive distributions in Gaussian processes with estimated covariances. Particular focus is on estimating quantiles of the predictive distribution and their subsequent application to prediction intervals. Two basic approaches are considered, (a) a “plug-in” approach using the restricted maximum likelihood estimate of the covariance parameters, (b) ...

OBJECTIVES The aim of the study was to propose and demonstrate an approach to allow additional nonsampling uncertainty about HIV prevalence measured at antenatal clinic sentinel surveillance (ANC-SS) in model-based inferences about trends in HIV incidence and prevalence. DESIGN Mathematical model fitted to surveillance data with Bayesian inference. METHODS We introduce a variance inflation ...

A second-order expansion is established for predictive distributions in Gaussian processes with estimated covariances. Particular focus is on estimating quantiles of the predictive distribution and their subsequent application to prediction intervals. Two basic approaches are considered, (a) a “plug-in” approach using the restricted maximum likelihood estimate of the covariance parameters, (b) ...