Statistics Notes: Detecting skewness from summary information

Transethnic Genetic-Correlation Estimates from Summary Statistics.

The increasing number of genetic association studies conducted in multiple populations provides an unprecedented opportunity to study how the genetic architecture of complex phenotypes varies between populations, a problem important for both medical and population genetics. Here, we have developed a method for estimating the transethnic genetic correlation: the correlation of causal-variant eff...

Intrinsic Information Preferences and Skewness∗

We present experimental results from a broad investigation of intrinsic preferences for information. We examine whether people prefer negatively skewed or positively skewed information structures when they are equally informative, whether people prefer more or less informative information structures, and how individual preferences over the skewness and the degree of information relate to one an...

Summary statistics in vision

Recovering Information from Summary Data

We formulate this task as an inverse problem, specifying a well-defined cost function that has to be optimized under constraints. We show that our formulation includes the uniformity and independence assumptions as a special case, and that it can achieve better reconstruction results if we maximize the smoothness as opposed to the uniformity. In our experiments on real and synthetic datasets, t...

Statistics 240 Lecture Notes

So far, we have been concerned with nonparametric tests and procedures: tests and procedures with minimal assumptions about the probability distribution that gives rise to the data. Examples of the kinds of assumptions we have made in various places are that the distribution is continuous, that the observations are iid, that subjects are randomized into treatment and control, etc. We now consid...