Approximate Prediction Intervals for a Future Observation from the Inverse Gaussian Distribution

摘要

The problem of predicting, on the basis of an observed sample from an inverse Gaussian distribution, the mean of a future random sample (or a single future observation) from the same distribution is considered. Approximate prediction intervals are proposed, and their accuracy is investigated via extensive Monte Carlo simulations. The results are useful for predicting the next first passage time for a Brownian motion with positive drift or the failure time of an item having inverse Gaussian life distribution. (Author)