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We discuss various aspects of the statistical formulation of the theory of random graphs, with emphasis on results obtained in a series of our recent publications.

Statistical Mechanics · Physics 2009-11-10 Zdzislaw Burda , Jerzy Jurkiewicz , Andre Krzywicki

Statistical matching aims to integrate two statistical sources. These sources can be two samples or a sample and the entire population. If two samples have been selected from the same population and information has been collected on…

Methodology · Statistics 2023-01-04 Raphaël Jauslin , Yves Tillé

Multiple harmonic-like numbers are studied using the generating function approach. A closed form is stated for binomial sums involving these numbers and two additional parameters. Several corollaries and examples are presented which are…

Number Theory · Mathematics 2024-06-12 Kunle Adegoke , Robert Frontczak

We present a review of data types and statistical methods often encountered in astronomy. The aim is to provide an introduction to statistical applications in astronomy for statisticians and computer scientists. We highlight the complex,…

Physics Education · Physics 2017-10-23 James P. Long , Rafael S. de Souza

Some proofs of the problems of the basic statistics proposed for numeric symbolic data.

Methodology · Statistics 2013-12-10 Antonio Irpino

We generalize the method of combinatorial telescoping to the case of multiple summations. We shall demonstrate this idea by giving combinatorial proofs for two identities of Andrews on parity indices of partitions.

Combinatorics · Mathematics 2014-11-26 Daniel K. Du , Qing-Hu Hou , Charles B. Mei

Some points concerning the relation of strings to interfaces in statistical systems are discussed.

High Energy Physics - Theory · Physics 2007-05-23 Gernot Münster

A method is discussed that allows combining sets of differential or inclusive measurements. It is assumed that at least one measurement was obtained with simultaneously fitting a set of nuisance parameters, representing sources of…

Data Analysis, Statistics and Probability · Physics 2018-01-09 Jan Kieseler

In this paper we explore a new method of analysis of associative algebras.

Rings and Algebras · Mathematics 2007-05-23 Vladimir Dergachev

Finite population inference is a central goal in survey sampling. Probability sampling is the main statistical approach to finite population inference. Challenges arise due to high cost and increasing non-response rates. Data integration…

Methodology · Statistics 2020-01-13 Shu Yang , Jae Kwang Kim

We provide the analytic forms of the distributions for the sum of ordered spacings. We do this both for the case where the boundaries are included in the calculation of the spacings and the case where they are excluded. Both the probability…

Statistics Theory · Mathematics 2020-08-06 Lolian Shtembari , Allen Caldwell

We evaluate binomial series with harmonic number coefficients, providing recursion relations, integral representations, and several examples. The results are of interest to analytic number theory, the analysis of algorithms, and…

Mathematical Physics · Physics 2008-12-10 Mark W. Coffey

The coherent stochastic resonance is observed and studied with multi-step periodic signal in continuous medium having two absorbing boundaries. The general features of this process are exihibited. The universal features at the resonance…

Condensed Matter · Physics 2009-10-31 Asish K. Dhara , Tapan Mukhopadhyay

In this paper, we argue that some fundamental concepts and tools of signal processing may be effectively applied to represent and interpret social cognition processes. From this viewpoint, individuals or, more generally, social stimuli are…

Spectral Theory · Mathematics 2021-09-30 Anne Maass , Michele Pavon , Caterina Suitner

We study the statistical convergence of metric valued sequences and of their subsequences. The interplay between the statistical and usual convergences in metric spaces is also studied.

Functional Analysis · Mathematics 2012-03-13 M. Kuchukaslan , U. Deger , O. Dovgoshey

The method of numerical symmetrization of state of identical particles proposed by us before is clarified and discussed.

High Energy Physics - Phenomenology · Physics 2008-11-26 Oleg Utyuzh , Grzegorz Wilk , Zbigniew Wlodarczyk

It is often necessary to compare the power spectra of two or more time series. One may, for instance, wish to estimate what the power spectrum of the combined data sets might have been. One might also wish to estimate the significance of a…

Astrophysics · Physics 2007-05-23 P. A. Sturrock

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…

General Topology · Mathematics 2019-07-02 AR. Murugan , J. Dianavinnarasi , C. Ganesa Moorthy

We treat interpolation for various logics.

Logic · Mathematics 2009-07-22 Dov Gabbay , Karl Schlechta

Invitation to the statistical study of language: The topic of this presentation is the interdisciplinary nexus between linguistics and statistics. It targets linguists, for whom it may have a theoretical interest, or professionals that work…

Applications · Statistics 2018-04-23 Rogelio Nazar