We analyse a continuous magnon spectrum which is excited in FMR in a ferromagnetic sample with dislocations. Calculations are presented for the moments of the uniform mode. Numerical comparisons of the moment method with literature data and the Born approximation are given for the broadening of the resonance line. In monocrystalline ferromagnets, the dislocations have the remarkable effect on r...

In this paper, we study the moments of central values certain unitary families Hecke L-functions Gaussian field, and establish quantitative non-vanishing result for their values. We also a one level density low-lying zeros these L-functions.

The presence of extreme events gives rise to outrageous results regarding population parameters and their estimates using traditional moments. Traditional moments are usually influenced by observations. In this paper, we propose some new calibration estimators under L-Moments scheme for variance which is one the most important parameters. Some suitable constraints double stratified random sampl...

This article presents six probability distributions from the gamma family with three parameters for flood frequency analysis in hydrology. The choice of statistical was driven by its frequent use In Faculty Hydrotechnics, improvement estimation maximum flows, including methodological bases realization a regionalization study linear moments method corrected parameters, researched and is an eleme...

Conjectures for the moments of L-functions have been sought for many decades, with very little progress until the introduction of random matrix theory into the subject [3, 26, 27]. The predictions using random matrix theory provide plausible conjectures for the leading order asymptotics of the moments of a family of L-functions. More recently, conjectures for all of the main terms of the moment...

Stein (1972, 1986) provides a flexible method for measuring the deviation of any probability distribution from a given distribution, thus effectively giving the upper bound of the approximation error which can be represented as the expectation of a Stein’s operator. Hosking (1990, 1992) proposes the concept of L-moment which better summarizes the characteristics of a distribution than conventio...

We review recent progress relating to the extreme value statistics of characteristic polynomials random matrices associated with classical compact groups, and Riemann zeta-function other $L$-functions, in context general theory logarithmically-correlated Gaussian fields. In particular, we focus on developments related conjectures Fyodorov \& Keating concerning statistics, moments moments, conne...

The paper is devoted to the propagation of smoothness (more precisely L∞-moments of the derivatives) of the solutions to the spatially homogeneous Boltzmann equation with polynomially growing collision kernels.

We derive formulas for the terms in the conjectured asymptotic expansions of the moments, at the central point, of quadratic Dirichlet L-functions, L(1/2, χd), and also of the L-functions associated to quadratic twists of an elliptic curve over Q. In so doing, we are led to study determinants of binomial coefficients of the form det Ä( 2k−i−λk−i+1 2k−2j )ä .