Showing papers by "Iain M. Johnstone published in 1981"
TL;DR: In this article, it was shown that total positivity is equivalent to a suitably formulated variation diminishing property, which allows a unified and straightforward presentation of many basic properties of hypothesis tests.
Abstract: Karlin has shown that the variation diminishing property possessed by totally positive distributions allows a unified and straightforward presentation of many basic properties of hypothesis tests. His work in fact reveals that total positivity is equivalent to a suitably formulated variation diminishing property. This largely expository article begins with the latter concept and consequently gives a more direct account of the theory. This approach avoids the extensive mathematical preliminaries previously required and isolates the more important statistical property.
84 citations