Concerning a single major league at bat, the percentage of variance in batting performance attributable to skill differentials among major league baseball players can be calculated statistically. The statistically appropriate calculation is seriously discrepant with intuitions about the influence of skill in batting performance. This paradoxical discrepancy is discussed in terms of habits of th...

The reverberation time is a key feature for describing the acoustic properties of a reverberant room. It can be computed from a measured Room Impulse Response but in many applications it has to be estimated blindly. Existing blind methods give accurate estimates but they often exhibit high variance across different speakers. In this paper, a low variance blind estimator of the reverberation tim...

We introduce a partial order, variance majorization, on R, which is analogous to the majorization order. A new class of monotonicity inequalities, based on variance majorization and analogous to Schur convexity, is developed.

Generalized variance is applied for determination of dispersion in a multivariate population and is a successful measure for concentration of multivariate data. In this article, we consider constructing confidence interval and testing the hypotheses about generalized variance in a multivariate normal distribution and give a computational approach. Simulation studies are performed to compare thi...

We study the problem of empirical minimization for variance-type functionals over functional classes. Sharp non-asymptotic bounds excess variance are derived under mild conditions. In particular, it is shown that some restrictions imposed on class fast convergence rates can be achieved including optimal non-parametric expressive classes in non-Donsker regime additional assumptions. Our main app...

conjecture Jan Cameron ∗, Erik Christensen †, Allan M. Sinclair ‡,Roger R. Smith §,Stuart White ¶,Alan D. Wiggins ‖ ∗Department of Mathematics, Vassar College, Poughkeepsie, NY 12604, U.S.A.,†Institute for Mathematiske Fag, University of Copenhagen, Copenhagen, Denmark.,‡School of Mathematics, University of Edinburgh, JCMB, King’s Buildings, Mayfield Road, Edinburgh, EH9 3JZ, Scotland.,§Departm...