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The family of multivariate skew-normal distributions has many interesting properties. It is shown here that these hold for a general class of skew-elliptical distributions. For this class, several stochastic representations are established…

Statistics Theory · Mathematics 2023-09-18 Chuancun Yin , Narayanaswamy Balakrishnan

In this paper, a new bivariate discrete distribution is introduced which called bivariate discrete exponentiated Weibull (BDEW) distribution. Several of its mathematical statistical properties are derived such as the joint cumulative…

Statistics Theory · Mathematics 2018-05-15 M. El- Morshedy , A. A. Khalil

We study consequences of long-range elasticity in thermally assisted dynamics of yield stress materials. Within a two-dimensinal mesoscopic model we calculate the mean-square displacement and the dynamical structure factor for tracer…

Soft Condensed Matter · Physics 2014-12-09 Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

The likelihood function is central to both frequentist and Bayesian formulations of parametric statistical inference, and large-sample approximations to the sampling distributions of estimators and test statistics, and to posterior…

Methodology · Statistics 2022-04-05 Anthony C. Davison , Nancy Reid

We consider stochastic versions of the Cauchy exponential functional equation and give a martingale characterization of the general solution.

Probability · Mathematics 2021-12-30 Beso Chikvinidze , Michael Mania , Revaz Tevzadze

The spectral representation is an effecient tool to explore electrical properties of material mixtures. It separates the contributions of geometrical topology and intrinsic properties of the constituents in the system. The aim of this paper…

Materials Science · Physics 2007-05-23 Enis Tuncer

Exponential smoothers are a simple and memory efficient way to compute running averages of time series. Here we define and describe practical properties of exponential smoothers for signals observed at constant and variable intervals.

Machine Learning · Statistics 2015-02-13 Javier R. Movellan

The method of the large mass expansion (LME) is investigated for selfenergy and vertex functions in two-loop order. It has the technical advantage that in many cases the expansion coefficients can be expressed analytically. As long as only…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Fleischer , A. V. Kotikov , O. L. Veretin

The probability distribution of the magnitude can be modeled by an exponential distribution according to the Gutenberg-Richter relation. Two alternatives are the truncated exponential distribution (TED) and the cut-off exponential…

Geophysics · Physics 2015-06-19 Mathias Raschke

We investigate the effectiveness of the Inverse Laplace Transform (ILT) analysis method to extract the distribution of relaxation rates from nuclear magnetic resonance data with stretched exponential relaxation. Stretched-relaxation is a…

Strongly Correlated Electrons · Physics 2021-09-10 H. Choi , I. Vinograd , C. Chaffey , N. J. Curro

The property of extended longitudinal scaling of rapidity distributions was noticed recently over a broad range of beam energies. It is shown here that this property is consistent with predictions of the statistical thermal model up to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Cleymans , J. Strümpfer , L. Turko

A convenient tool to obtain numerical methods specially tuned on oscillating functions is exponential fitting. Such methods are needed in various branches of natural sciences, particularly in physics, since a lot of physical phenomena…

Numerical Analysis · Mathematics 2007-05-23 Hans Van de Vyver

In this paper we define contractive and nonexpansive properties for adapted stochastic processes $X_1, X_2, \ldots $ which can be used to deduce limiting properties. In general, nonexpansive processes possess finite limits while contractive…

Probability · Mathematics 2022-07-05 Anthony Almudevar

The scattering of two and more particles at low energies is described by the so called effective-range expansion. The leading terms of this expansion are the scattering length and effective range. The analytic expressions for both of the…

Nuclear Theory · Physics 2021-10-06 Evgeny Z. Liverts

We introduce the discrete distribution of a Wiener process range. Rather than finding some basic distributional properties including hazard rate function, moments, Stress-strength parameter and order statistics of this distribution, this…

Statistics Theory · Mathematics 2017-10-24 Mohamed Abd Allah El-Hadidy

In this paper a new lifetime distribution, which is called the exponentiated Weibull-geometric (EWG) distribution, is introduced. This new distribution obtained by compounding the exponentiated Weibull and geometric distributions. The EWG…

Methodology · Statistics 2012-12-23 Eisa Mahmoudi , Mitra Shiran

The stretch energy is a fully nonlinear energy functional that has been applied to the numerical computation of area-preserving mappings. However, this approach lacks theoretical support and the analysis is complicated due to the full…

Numerical Analysis · Mathematics 2022-05-31 Mei-Heng Yueh

We give an approach to exponential stability within the framework of evolutionary equations due to [R. Picard. A structural observation for linear material laws in classical mathematical physics. Math. Methods Appl. Sci.,…

Analysis of PDEs · Mathematics 2014-01-07 Sascha Trostorff

The extended Gaussian ensemble introduced recently as a generalization of the canonical ensemble, which allows to treat energy fluctuations present in the system, is used to analyze the inelasticity distributions in high energy…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. Osada , O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

A new characterization of the exponential distribution is obtained. It is based on an equation involving randomly shifted (translated) order statistics. No specific distribution is assumed for the shift random variables. The proof uses a…

Probability · Mathematics 2017-01-05 Santanu Chakraborty , George P. Yanev
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