Composite Tests For The Gamma Distribution

摘要

In this paper we discuss testing the hypothesis that a random sample can be modeled by a gamma distribution for the case of a known or unknown shape parameter. We introduce a new test, one based on the modified Greenwood statistic, and compare this with two presently available tests, Anderson-Darling and Locke. In this paper we emphasize how to use each of the three tests, and, based on the results of a simulation study, we recommend under what conditions each should be used.