Predicting future lifetime for mixture exponential distribution
H. M. Barakat, O. M. Khaled, Hadeer A. Ghonem
Abstract
This paper studies the prediction problem of future order statistics based on a mixture of exponential distributions. We suggest different scenarios to construct predictive intervals and point predictions for the future observations in two cases. In the first case, we assume fixed sample size, while in the second case, the sample size is assumed to be positive integer–valued random variable independent of the observations.
Topics & Concepts
Exponential functionExponential distributionStatisticsMathematicsSample size determinationInteger (computer science)Random variableSample (material)Order statisticVariable (mathematics)Gamma distributionApplied mathematicsStatistical physicsComputer sciencePhysicsMathematical analysisThermodynamicsProgramming languageStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignFinancial Risk and Volatility Modeling