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In this paper, we study the generalization properties of online learning based stochastic methods for supervised learning problems where the loss function is dependent on more than one training sample...
The paper is devoted to statistical analysis of zero intelligence models of continuous double auction, in particular to an estimation of parameters of limit order books. We review "classical" zero int...
Fisher’s linear discriminant analysis (FLDA) is an important dimension reduction method in sta-tistical pattern recognition. It has been shown that FLDA is asymptotically Bayes optimal under the homos...
It is shown the almost sure convergence and asymptotical normality of a generalization of Kesten's stochastic approximation algorithm for multidimensional case. In this generalization, the step incr...
The notion of random self-decomposability is generalized further. The notion is then extended to non-negative integer-valued distributions.
Coherence and phase synchronization between time series corresponding to different spatial locations are usually interpreted as indicators of the “connectivity” between locations. In neurophysiology...
Capability indices are dimensionless quantities measuring the aptitude of a process to manufacture items whose characteristics must be within a specified tolerance ranges. The usual indices Cp , Cpk...
A generalization of Kawada and Ito's theorem。
The Skitovich-Darmois Theorem of the early 1950's establishes the normality of independent X,, X,, . . ., X, from the independence of two linear forms in these random variables. Existing proofs ge...
In this article, we study rates of convergence of the generalization error of multi-class margin classifiers. In particular, we develop an upper bound theory quantifying the generalization error of va...
The trajectory of the ball in a soccer game is modelled by the Brownian motion on a cylinder, subject to elastic reflections at the boundary points (as proposed in [KPY]). The score is then the number...
We present a class of processes which enjoy an exponential analogue of Pitman's 2M-X theorem, improving hence some works of H. Matsumoto and M. Yor.
The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung’s but generalized to a matrix loss function. Parallelly Leung’s scalar noncentral Wi...
The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung’s but generalized to a matrix loss function. Parallelly Leung’s scalar noncentral Wi...
In this article, we derive a new generalization of Chebyshev inequality for random vectors. We demonstrate that the new generalization is much less conservative than the classical generalization.

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