We consider the setting in which an electric power utility seeks to curtail its peak electricity demand by offering a fixed group of customers a uniform price for reductions in consumption relative to their predetermined baselines. The underlying demand curve, which describes the aggregate reduction in consumption in response to the offered price, is assumed to be affine and subject to unobserv...

This paper deals with the improved forecasts for the values of the study variable in linear regression models utilizing the minimum risk approach. It considers the simultaneous forecasting of actual and average values of the study variable and reports the performance properties of the classical unbiased forecasts and two biased forecasts with respect to the criteria of the bias vector,mean squa...

“Yesterday the S&P500 went up by 3%”. Is this number telling all the story if half the stocks went up 5% and half went down 1%? Surely one can do a little better and give two figures, the average and the dispersion around this average, that two of us have recently christened the variety [1]. Call ri(t) the return of asset i on day t. The variety V(t) is simply the root mean square of the stock ...

A parameterization of mesoscale eddies in coarse-resolution ocean general circulation models (GCM) is formulated and implemented using a residual-mean formalism. In that framework, mean buoyancy is advected by the residual velocity (the sum of the Eulerian and eddy-induced velocities) and modified by a residual flux which accounts for the diabatic effects of mesoscale eddies. The residual veloc...

Atmospheric correction is a difficult procedure due to the complex nature of the atmosphere and yet it should be done with utmost care because it largely determines the usability of the final data. Atmospheric correction is usually done using either empirical or model based method. In this paper a combined method proposed. The proposed method has two phases. In the first phase hyperspectral rad...