Short Communications

On a Class of Optimal Decision Functions for a Binomial Family of Distributions

I. N. Kovalenko

Kiev

Abstract: Resolving functions are described that minimize the weighted sum of errors of the first and second kind for $p=p_1,p_2$ and the mathematical expectation of a number of sequential tests for $p=p_0$ ($p_1< p_0< p_2$).

Received: 15.06.1958

 English version: Theory of Probability and its Applications, 1959, 4:1, 95–99