Many postulated relations in finance imply that expected asset returns should monotonically increase in a certain characteristic. To examine the validity of such a claim, one typically considers a finite number of return categories, ordered according to the underlying characteristic. A standard...

This paper considers the problem of testing a finite number of moment inequalities. We propose a two-step approach. In the first step, a confidence region for the moments is constructed. In the second step, this set is used to provide information about which moments are negative. A...

Many postulated relations in finance imply that expected asset returns should monotonicallyincrease in a certain characteristic. To examine the validity of such a claim, onetypically considers a finite number of return categories, ordered according to the underlyingcharacteristic. A standard...

This paper reviews important concepts and methods that are useful for hypothesis testing.First, we discuss the Neyman-Pearson framework. Various approaches to optimalityare presented, including finite-sample and large-sample optimality. Then, some of the mostimportant methods are summarized, as...

Consider the problem of testing s hypotheses simultaneously. In order to deal with themultiplicity problem, the classical approach is to restrict attention to procedures that controlthe familywise error rate (FWE). Typically, it is known how to construct tests of the individualhypotheses, and...

Consider the problem of testing s hypotheses simultaneously. In this paper, we derivemethods which control the generalized familywise error rate given by the probability ofk or more false rejections, abbreviated k-FWER. We derive both single-step and stepdownprocedures that control the k-FWER in...