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The Asymptotic Minimax Constant for Sup-Norm Loss in Nonparametric Density Estimation
Density estimation exact constant optimal recovery uniform norm risk white noise
2015/8/25
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 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 ...
Quenching and propagation in KPP reaction-diffusion equations with a heat loss
Quenching and propagation KPP reaction-diffusion equations heat loss
2015/7/14
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...
An extension of solutions to convolution equations with the loss of smoothness
Homogeneous convolution equations mean periodic functions zeros of entire functions
2012/6/19
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
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, ...
M/M/1 retrial queueing system with loss and feedback under non-pre-emptive priority service by matrix geometric method
Single Server Stochastic nature Low priority
2010/9/26
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 ...
Estimation of a probability in inverse binomial sampling under normalized linear-linear and inverse-linear loss
Sequential estimation Point estimator Inverse binomial sampling
2010/12/3
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 ...
Loss of derivatives for systems of complex vector fields and sums of squares
Loss of derivatives for systems complex vector fields sums of squares
2010/11/29
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
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
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
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...