Results 21 to 30 of about 4,903,854 (193)
On Diamond’s L1 Criterion for Asymptotic Density of Beurling Generalized Integers [PDF]
We give a short proof of the $L^{1}$ criterion for Beurling generalized integers to have a positive asymptotic density. We actually prove the existence of density under a weaker hypothesis.
Gregory Debruyne, J. Vindas
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In this paper we study inequalities between weighted densities of sets of natural numbers corresponding to different weight functions. Depending on the asymptotic relation between the weight functions, we give sharp bounds for possible values of one ...
József Bukor +3 more
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Asymptotic unbiased density estimators [PDF]
Summary: This paper introduces a computationally tractable density estimator that has the same asymptotic variance as the classical Nadaraya-Watson density estimator but whose asymptotic bias is zero. We achieve this result using a two stage estimator that applies a multiplicative bias correction to an oversmooth pilot estimator.
Hengartner, Nicolas W. +1 more
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Asymptotics for in-sample density forecasting [PDF]
Published in at http://dx.doi.org/10.1214/14-AOS1288 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Lee, Young K. +3 more
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Statistical Convergence of Nets Through Directed Sets
The concept of statistical convergence based on asymptotic density is introduced in this article through nets. Some possible extensions of classical results for statistical convergence of sequences are obtained in this article, with extensions to nets.
Ar Murugan +2 more
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Asymptotic results for the first and second moments and numerical computations in discrete-time bulk-renewal process [PDF]
This paper introduces a simplified solution to determine the asymptotic results for the renewal density. It also offers the asymptotic results for the first and second moments of the number of renewals for the discrete-time bulk-renewal process.
Kim James J. +2 more
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Information Geometry of the Exponential Family of Distributions with Progressive Type-II Censoring
In geometry and topology, a family of probability distributions can be analyzed as the points on a manifold, known as statistical manifold, with intrinsic coordinates corresponding to the parameters of the distribution. Consider the exponential family of
Fode Zhang +2 more
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On the asymptotic density of states in solvable models of strings [PDF]
We present a closed formula for the asymptotic density of states for a class of solvable superstring models on curved backgrounds. The result accounts for the effects of the curvature of the target space in a concise way.
Tommaso Canneti
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Intrinsic density, asymptotic computability, and stochasticity [PDF]
AbstractThere are many computational problems which are generally “easy” to solve but have certain rare examples which are much more difficult to solve. One approach to studying these problems is to ignore the difficult edge cases. Asymptotic computability is one of the formal tools that uses this approach to study these problems.
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Estimating Smoothness and Optimal Bandwidth for Probability Density Functions
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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