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We develop the exact constant of the risk asymptotics in the uniform norm for density estimation. This constant has first been found for nonparametric regression and for signal estimation in Gaussian ...
Margin Maximizing Loss Functions     Margin Maximizing  Loss Functions       font style='font-size:12px;'> 2015/8/21
Margin maximizing properties play an important role in the analysis of classification models, such as boosting and support vector machines. Margin maximization is theoretically interesting because it ...
We consider a reaction-diffusion system of the KPP type in a shear flow and with a non-zeroheat loss parameter. We establish criteria for the flame blow-off and propagation, and identify the propagati...
In the present paper the smoothness loss of an extension of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.
Some Results on the Information Loss in Dynamical Systems     Dynamical Systems  Information Loss  Results       font style='font-size:12px;'> 2011/7/7
In this work we investigate the information loss in (nonlinear) dynamical input-output systems and provide some general results. In particular, we present an upper bound on the information loss rate, ...
Consider a single server retrial queueing system with loss and feedback under Non-pre-emptive priority service in which two types of customers arrive in a Poisson process with arrival rate λ1 for low ...
Sequential estimation of the success probability p in inverse binomial sam-pling is considered in this paper. For any estimator ˆp, its quality is measured by the risk associated with normalized ...
We discuss, both for systems of complex vector fields and for sums of squares, the phenomenon discovered by Kohn of hypoellipticity with loss of derivatives.MSC: 32W05, 32W25, 32T25
Loss of derivatives in the infinite type      Loss of derivatives  infinite type        font style='font-size:12px;'> 2010/12/10
We discuss loss of derivatives for degenerate vector fields obtained from infinite type exponentially non-degenerate hypersurfaces of C2.
Loss distributions conditional on defaults     Loss distributions  Monte Carlo simulation  risk concentrations       font style='font-size:12px;'> 2010/4/27
The impact of default events on the loss distribution of a credit portfolio can be assessed by determining the loss distribution conditional on these events. While it is conceptually easy to estimate ...
Bivariate Recursive Equations on Excess-of-loss Reinsurance     recursive equation    $R_1(a  b)$ family    excess-of-loss reinsurance         font style='font-size:12px;'> 2007/12/11
This paper investigates bivariate recursive equations on excess-of-loss reinsurance. For an insurance portfolio, under the assumptions that the individual claim severity distribution has bounded conti...

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