Electronic trading of equities and other securities makes heavy use of “arrival price” algorithms, that balance the market impact cost of rapid execution against the volatility risk of slow execution. In the standard formulation, mean-variance optimal trading strategies are static: they do not modify the execution speed in response to price motions observed during trading. We show that substant...

The Mean-Variance Portfolio Theory continues to be the cardinal tool for much of portfolio management. Traditional concerted literature on the Mean-Variance theory can be segmented almost exclusively into (i) chapters in books that provide simply a write up on the theory and (ii) books that contain a purely mathematical analysis without emphasizing the financial implications and interpretations...

A crucial step in plant breeding is the selection and combination of parents to form new crosses. Genome-based prediction guides the selection of high-performing parental lines in many crop breeding programs which ensures a high mean performance of progeny. To warrant maximum selection progress, a new cross should also provide a large progeny variance. The usefulness concept as measure of the g...

1. We’ll follow the notation of [3]. Assume that n seats have already been assigned, and that each elector of type k is represented in the amount rk. We consider allocating a new seat to candidate (or party) i and distributing it between the electors that approved i. Let xk be the amount of this new seat that is given to each elector of type k (we are omitting the reference to i). The xk are su...

the relationship between live body weight, body length, girth circumference, animal hight, upper, middle as well as lower width of fat-tail, fat-tail length, fat-tail gap length, fat-tail depth and fat-tail circumference along with fat-tail weight were determined using records of 731 loribakhtiari sheep. principal component and least square analyses were applied to solve the collinearity instab...

The tube method or the volume-of-tube approximates tail probability of maximum a smooth Gaussian random field with zero mean and unit variance. This evaluates volume spherical about index set, then transforms it to probability. In this study, we generalize case in which variance is not constant. We provide formula for non-constant radius terms curvature tensors, inhomogeneous variance, as well ...

Active learning aims to train a classifier as fast as possible with as few labels as possible. The core element in virtually any active learning strategy is the criterion that measures the usefulness of the unlabeled data based on which new points to be labeled are picked. We propose a novel approach which we refer to as maximizing variance for active learning or MVAL for short. MVAL measures t...