Bayesian inference in life tests based on exponential model with outliers when sample size is a random variable

Summary This paper deals with the problem of prediction of the order statistics in a future sample. Underlying model is exponential. Outlier is present in the sample drawn and the sample size is considered a random variable. Firstly, an outlier of type πδ in the exponential model, is trated. Actual predictive distribution of the order satstistics is obtained. As an extension, two sample problem is also taken up. Finally, an outlier of type π+δ is dealt and now the predictive distribution is expressed in terms of hypergeometric functions.