ABSTRACT
This chapter provides estimation and hypothesis testing techniques for the Weibull distribution; such as those developed for the exponential distribution. The Weibull model may sometimes be suggested by theoretical considerations, particularly when related to extreme-value characteristics. There are some key factors involved in developing inference procedures for the Weibull distribution based on the maximum likelihood estimators. If Weibull data are to be interpreted in terms of the Weibull process, it must be remembered that the data represent repeated observations on the time to first occurrence of a Weibull process. In the exponential case the data could have come from either times between failures of a single Poisson process or repeated observations on the time to first occurrence of several Poisson processes. It may be worth mentioning how a random number generator is used to obtain a simulated or Monte Carlo sample from a probability distribution such as the exponential distribution.
