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In this paper, we consider the alleviation of the boundary problem when the probability density function has bounded support. We apply Robbins-Monro's algorithm and Bernstein polynomials to construct a recursive density estimator. We study…

Statistics Theory · Mathematics 2019-04-16 Yousri SLAOUI , Asma JMAEI

comment on J. Schmalian and P. Wolynes, Phys. Rev. Lett. {\bf 85}, 836 (2000).

Statistical Mechanics · Physics 2009-11-07 M. Grousson , G. Tarjus , P. Viot

We apply concepts of majorization theory to derive new insights in the field of extremal dependence structures. In particular, we consider the Rearrangement Algorithm by Puccetti and Rueschendorf, where majorization arguments yield a…

Probability · Mathematics 2017-09-15 Michael Preischl

Discussion of "Statistical Inference: The Big Picture" by R. E. Kass [arXiv:1106.2895]

Methodology · Statistics 2011-06-20 Hal Stern

Discussion of "Statistical Inference: The Big Picture" by R. E. Kass [arXiv:1106.2895]

Methodology · Statistics 2011-06-20 Robert McCulloch

Discussion of "Statistical Inference: The Big Picture" by R. E. Kass [arXiv:1106.2895]

Methodology · Statistics 2011-06-20 Steven N. Goodman

Comment on paper by Blanchette and Zhang, Phys. Rev. Lett. 102, 144501 (2009).

Fluid Dynamics · Physics 2015-05-18 J. Eggers , S. Courrech du Pont

The aim of this short note is to give counterexamples to two results by D. Y. Gao [5, Th. 16], [4, Th. 2] and to improve a related result by S.-C. Fang, D. Y. Gao, R.-L. Sheu and S.-Y. Wu [1, Th. 3].

Optimization and Control · Mathematics 2010-08-26 M. D. Voisei , C. Zalinescu

This paper proposes a new method of bandwidth selection in kernel estimation of density and distribution functions motivated by the connection between maximisation of the entropy of probability integral transforms and maximum likelihood in…

Methodology · Statistics 2016-07-14 Vitaliy Oryshchenko

Comment: Monitoring Networked Applications With Incremental Quantile Estimation [arXiv:0708.0302]

Methodology · Statistics 2009-09-29 Bin Yu

Comment: Monitoring Networked Applications With Incremental Quantile Estimation [arXiv:0708.0302]

Methodology · Statistics 2009-09-29 Lorraine Denby , James M. Landwehr , Jean Meloche

The monotone rearrrangement algorithm was introduced by Hardy, Littlewood and P\'olya as a sorting device for functions. Assuming that $x$ is a monotone function and that an estimate $x_n$ of $x$ is given, consider the monotone…

Statistics Theory · Mathematics 2007-10-26 Dragi Anevski , Anne-Laure Fougères

In a recent letter [Phys. Rev. Lett. 78, 515 (1997); cond-mat/9612034] Roemer and Schreiber report on numerical calculations that led them to conclude that the previously observed enhancement of the localization length $L_2$ of two…

Disordered Systems and Neural Networks · Physics 2009-10-30 Klaus Frahm , Axel Mueller-Groeling , Jean-Louis Pichard , Dietmar Weinmann

Nearest neighbor (NN) matching as a tool to align data sampled from different groups is both conceptually natural and practically well-used. In a landmark paper, Abadie and Imbens (2006) provided the first large-sample analysis of NN…

Statistics Theory · Mathematics 2021-12-28 Zhexiao Lin , Peng Ding , Fang Han

Comment to "Mechanism for Designing Metamaterials with a High Index of Refraction" by J. T. Shen, Peter B. Catrysse and Shanhui Fan.

Other Condensed Matter · Physics 2010-06-29 Alexey Shuvaev , Andrei Pimenov

This is a pedagogical article cited in the foregoing research note, quant-ph/9911050

Quantum Physics · Physics 2020-02-12 S. A. Fulling

We prove that the probability that a sum of independent random variables in $\mathbb{R}^d$ with bounded densities lies in a ball is maximized by taking uniform distributions on balls. This in turn generalizes a result by Rogozin on the…

Probability · Mathematics 2015-04-03 T. Juškevičius , J. D. Lee

We obtain a Bernstein type Gaussian concentration inequality for martingales. Our inequality improves the Azuma-Hoeffding inequality for moderate deviations $x$. Following the work of McDiarmid (1989), Talagrand (1996) and Boucheron, Lugosi…

Probability · Mathematics 2017-10-17 Xiequan Fan

Estimating the mixing density of a mixture distribution remains an interesting problem in statistics literature. Using a stochastic approximation method, Newton and Zhang (1999) introduced a fast recursive algorithm for estimating the…

Statistics Theory · Mathematics 2022-03-29 Nilabja Guha , Anindya Roy