Asymptotic confidence interval for conditional probability at decision making

Abstract

Consideration was given to construction of a unilateral asymptotic confidence interval for an unknown conditional probability of the event A under the condition B. Analytical expressions for the boundaries of such interval were obtained for various a priori restrictions on the probabilities of the events A and B such that the probability of the event B is separable from zero by a certain value, as well that there exists an upper a priori restriction on the probability of the event A. The interval estimates obtained were compared in precision.