1. Department of Mathematics, Faculty of Science , Ain Shams University , Abbassia, Cairo, Egypt;2. Department of Mathematics, Faculty of Science , Al Azhar University , Girls Section, Nasr City, Cairo, Egypt
Abstract:
Three Bayesian methods are considered for the determination of sample sizes for sampling from the Laplace distribution – the distribution of time between rare events – with a normal prior. These methods are applied to the sizing of aircraft mid-air collisions in a navigation system or large flight path deviations of aircraft in air traffic management scenarios. A computer program handles all computations and gives a good insight about the best suggested method.