Precedence probabilities and their applications

In precedence tests, the test powers are given by the probabilities P(Y_(i) > X_(j)) for some i and j, where X_(j) and Y_(i) are the order statistics of two independent random samples. Such probabilities can also arise in reliability theory. In this paper, we investigate the properties of these probabilities and their applications.     

One-sided Continuous Tolerance Limits and their Accompanying Sample Size Problem

Tolerance limits are those limits that contain a certain proportion of the distribution of a characteristic with a given probability. 'They are used to make sure that the production will not be outside of specifications' (Amin & Lee, 1999). Usually, tolerance limits are constructed at the beginning of the monitoring of the process. Since they are calculated just one time, these tolerance limits cannot reflect changes of tolerance level over the lifetime of the process. This research proposes an algorithm to construct tolerance limits continuously over time for any given distribution. This algorithm makes use of the exponentially weighted moving average (EWMA) technique. It can be observed that the sample size required by this method is reduced over time.     

Discussion on “ Transparency in Structural Research” by I. Andrews,M. Gentkow and J. Shapiro

Abstract

We provide a complementary approach to global sensitivity analysis that should be useful for empirical work in economics.