Pearson (1897) investigated correlations of ratios of bone measurements and found that although the correlations among the original measures were low, the correlations among ratios with common measures were about .5. To understand this result, he developed an approximate equation for the correlations of ratios. In the present study, Monte Carlo methods were used to show that Pearson's equation ...

Stratified random sampling (SRS) is a fundamental sampling technique that provides accurate estimates for aggregate queries using a small size sample, and has been used widely for approximate query processing. A key question in SRS is how to partition a target sample size among different strata. While Neyman allocation provides a solution that minimizes the variance of an estimate using this sa...

We construct symmetric convex bodies that are not intersection bodies, but all of their central hyperplane sections are intersection bodies. This result extends the studies by Weil in the case of zonoids and by Neyman in the case of subspaces of Lp.

We examine the characterization of the Shapley value that was introduced by Young and refined later by Neyman. A new proof of this axioma-tization is given and as an illustration of the new proof it is demonstrated that the axioms under consideration characterize the Shapley value on various well-known classes of T U games.

The discrete time detection of a known constant signal in additive white stationary Laplace noise is considered. The receiver operating characteristics of the Neyman-Pearson optimal detector are presented and compared with those of the linear detector. Also, some results obtained using a Gaussian approximation to the distribution of the test statistic are presented.