The problem of testing two simple hypotheses in a general probability space is considered. For fixed type-I error probability, the best exponential decay rate type-II investigated. In regular asymptotic cases (i.e., when length observation interval grows without limit) given by Stein’s exponent. paper, for space, some non-asymptotic lower and upper bounds are derived. These represent pure analy...

Abstract Previous research reported that corvids preferentially cache food in a location where no will be available or more of specific this not available. Here, we consider possible explanations for these prospective caching behaviours and directly compare two competing hypotheses. The Compensatory Caching Hypothesis suggests birds learn to particular places was less frequently the past. In co...