Prediction intervals for the future record values from exponential distribution: comparative study

Prediction intervals for future records and order statistics coming from two parameter exponential distribution

“…Several authors have studied the subject of predicting future records on the basis of observed records from the same distribution. See for example, Ahsanullah (1980), Dunsmore (1983), Awad and Raqab, Mohammad (2000), Ali Mousa et al (2002), Ahmadi et al (2005), Ahmadi and Doostparast (2006), Raqab (in press), Raqab and Balakrishnan (2008), Ahmadi et al (in press) and the references therein. Thus, so far, researchers have considered prediction of records based on records and prediction of order statistics based on order statistics.…”

Prediction intervals for generalized-order statistics with random sample size

“…The problem of predicting future ordered data has been studied by several statisticians in view of classical and Bayesian framework. For example, Awad and Raqab [12] considered prediction problem of future record values based on the first observed record values from one-parameter exponential distribution. Raqab [13] obtained optimal prediction intervals for future GOSs based on the first observed GOSs from an exponential population.…”

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

“…For the case of usual records and ordinary order statistics, see for example [10,[14][15][16][17][18]. The problem that we consider here is the prediction of the upper k-record values from a future Y -sequence, i.e.…”