Results 21 to 30 of about 43,652 (301)
Estimating Smoothness and Optimal Bandwidth for Probability Density Functions
Stats, 2022 The properties of non-parametric kernel estimators for probability density function from two special classes are investigated. Each class is parametrized with distribution smoothness parameter. One of the classes was introduced by Rosenblatt, another one
Dimitris N. Politis +2 more
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ASYMPTOTIC DENSITY AND COMPUTABLY ENUMERABLE SETS [PDF]
Journal of Mathematical Logic, 2013 We study connections between classical asymptotic density, computability and computable enumerability. In an earlier paper, the second two authors proved that there is a computably enumerable set A of density 1 with no computable subset of density 1.
Rodney G. Downey +2 more
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Extremal properties of the beta-normal distribution
Journal of Inequalities and Applications, 2022 Asymptotic behaviors of the extremes of the beta-normal distribution are derived. The higher-order asymptotic expansions of the probability density and cumulative distribution functions for the maximum are given under an optimal normalizing constants. In
Yingying Jiang, Baokun Li
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On Asymptotics of Optimal Stopping Times
Mathematics, 2022 We consider optimal stopping problems, in which a sequence of independent random variables is drawn from a known continuous density. The objective of such problems is to find a procedure which maximizes the expected reward.
Hugh N. Entwistle +2 more
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Asymptotic density, immunity and randomness [PDF]
Computability, 2015 Abstract In 2012, inspired by developments in group theory and complexity, Jockusch and Schupp introduced generic computability, capturing the idea that an algorithm might work correctly except for a vanishing fraction of cases. However, we observe that their definition of a negligible set is not computably invariant (and thus not ...
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Asymptotic Behavior of the Density in a Parabolic SPDE [PDF]
Journal of Theoretical Probability, 1999 Consider the density of the solution $X(t, x)$ of a stochastic heat equation with small noise at a fixed $t \in[0, T], x \in[0,1]$. In this paper we study the asymptotics of this density as the noise vanishes. A kind of Taylor expansion in powers of the noise parameter is obtained.
Kohatsu, Arturo +2 more
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Advances in Electrical and Electronic Engineering, 2017 Using results of number theory we develop an approximate statistical model of energy levels of particles in a three-dimensional infinite potential well depending on whether there is exactly one particle or more than one particles in the well.
Pavel Jahoda, Jan Kracik, David Ulcak
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Asymptotics of Random Density Matrices [PDF]
Annales Henri Poincaré, 2007 We investigate random density matrices obtained by partial tracing larger random pure states. We show that there is a strong connection between these random density matrices and the Wishart ensemble of random matrix theory. We provide asymptotic results on the behavior of the eigenvalues of random density matrices, including convergence of the ...
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Asymptotic densities of ballistic Lévy walks [PDF]
Physical Review E, 2015 We propose an analytical method to determine the shape of density profiles in the asymptotic long time limit for a broad class of coupled continuous time random walks which operate in the ballistic regime. In particular, we show that different scenarios of performing a random walk step, via making an instantaneous jump penalized by a proper waiting ...
Froemberg, D. +3 more
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Approximate inference of the bandwidth in multivariate kernel density estimation [PDF]
, 2011 Kernel density estimation is a popular and widely used non-parametric method for data-driven density estimation. Its appeal lies in its simplicity and ease of implementation, as well as its strong asymptotic results regarding its convergence to the true ...
Sanguinetti, G. +3 more
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