In applied statistics two of the most widely used distributions for continuous random variables ara cha normal and the lognormal. In this paper we consider the problem of selecting one of Chese two distributions. Each distribution is allowed to have unknown location and scale parameters and the lagnormal has an unknown shape parameter in addition. Upper bounds are developed for the power of any cesc which is invariant with respect co location and scale transformations, and the modified ratio of maximized Likelihoods (MRML) test is shown co have powers very near to chese upper bounds.
ASJC Scopus subject areas
- Statistics and Probability