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In this paper, we proposed a new lifetime distribution namely generalized weighted Lindley (GLW) distribution. The GLW distribution is a useful generalization of the weighted Lindley distribution, which accommodates increasing, decreasing,…

统计理论 · 数学 2016-07-20 P. L. Ramos , F. Louzada

We present a global analysis program for the generalized parton distributions (GPDs) based on conformal moment expansion. We apply the strategy of universal moment parameterization to fit both the collinear parton distribution functions…

高能物理 - 唯象学 · 物理学 2022-10-19 Yuxun Guo , Xiangdong Ji , Kyle Shiells

The g-and-k and (generalised) g-and-h distributions are flexible univariate distributions which can model highly skewed or heavy tailed data through only four parameters: location and scale, and two shape parameters influencing the skewness…

统计计算 · 统计学 2017-06-22 Dennis Prangle

We present the first global analysis of generalized parton distributions (GPDs) combing lattice quantum chromodynamics (QCD) calculations and experiment measurements including global parton distribution functions (PDFs), form factors (FFs)…

高能物理 - 唯象学 · 物理学 2023-06-13 Yuxun Guo , Xiangdong Ji , M. Gabriel Santiago , Kyle Shiells , Jinghong Yang

With the progress of information technology, large amounts of asymmetric, leptokurtic and heavy-tailed data are arising in various fields, such as finance, engineering, genetics and medicine. It is very challenging to model those kinds of…

统计方法学 · 统计学 2024-01-26 Chengdi Lian , Yaohua Rong , Weihu Cheng

We extend the formalism of asymmetric frames of reference for generalized parton distributions (GPDs) to the case of nonzero skewness, i.e., including longitudinal momentum transfer. The framework, based on Lorentz-invariant amplitudes and…

In this note, we consider the performance of the classic method of moments for parameter estimation of symmetric variance-gamma (generalized Laplace) distributions. We do this through both theoretical analysis (multivariate delta method)…

统计方法学 · 统计学 2023-11-21 Adrian Fischer , Robert E. Gaunt , Andrey Sarantsev

We propose a procedure for estimating the parameters of the Mittag-Leffler (ML) and the generalized Mittag-Leffler (GML) distributions. The algorithm is less restrictive, computationally simple, and necessary to make these models usable in…

统计方法学 · 统计学 2018-06-08 Dexter Cahoy

In this survey we present an extensive research of the vast literature about the Generalized Lambda Distribution (GLD) and propose a hurdle, or two-way, model whose associated distribution is the GLD in order to meet the demand for a highly…

应用统计 · 统计学 2019-01-04 Diego Marcondes , Cláudia Peixoto , Ana Carolina Maia

In this paper, I present the calculation of the third and fourth moments of both the distribution function of the large--scale density and the large--scale divergence of the velocity field, $\theta$. These calculations are made by the mean…

天体物理学 · 物理学 2009-10-22 F. Bernardeau

We propose a family of four-parameter distributions that contain the K-distribution as special case. The family is derived as a mixture distribution that uses the three-parameter reflected Gamma distribution as parental and the…

Laplace distribution is popular in the field of economics and finance. Still, data sets often show a lack of symmetry and a tendency of being bounded from either side of their support. In view of this, we introduce a new family of skew…

统计理论 · 数学 2024-06-18 Raju. K. Lohot , V. U. Dixit

Distributions of strictly positive numbers are common and can be characterized by standard statistical measures such as mean, standard deviation, and skewness. We demonstrate that for these distributions the skewness $D_3$ is bounded from…

应用统计 · 统计学 2024-02-14 David J Meer , Eric R. Weeks

In this paper, we propose a method based on GMM (the generalized method of moments) to estimate the parameters of stable distributions with $0<\alpha<2$. We don't assume symmetry for stable distributions.

统计理论 · 数学 2007-06-13 Chunlin Wang

In this paper, we introduce a new four-parameter generalized version of the Gompertz model which is called Beta-Gompertz (BG) distribution. It includes some well-known lifetime distributions such as beta-exponential and generalized Gompertz…

统计理论 · 数学 2014-07-04 Ali Akbar Jafari , Saeid Tahmasebi , Morad Alizadeh

For the family of multivariate probability distributions variously denoted as unified skew-normal, closed skew-normal and other names, a number of properties are already known, but many others are not, even some basic ones. The present…

统计理论 · 数学 2020-11-13 Reinaldo B. Arellano-Valle , Adelchi Azzalini

We propose formal estimation procedures for the parameters of the generalized, three-parameter Linnik $gL(\alpha,\mu, \delta)$ and Mittag-Leffler $gML(\alpha,\mu, \delta)$ distributions. The estimators are derived from the moments of the…

统计方法学 · 统计学 2018-08-03 Dexter O. Cahoy , Wojbor A. Woyczyński

Results from a recent analysis of the zero-skewness generalized parton distributions (GPDs) for valence quarks are discussed. The analysis bases on a physically motivated parameterization of the GPDs with a few free parameters adjusted to…

高能物理 - 唯象学 · 物理学 2025-01-22 P. Kroll

In this paper, we introduce a new generalization of geometric distribution which can also viewed as discrete analogue of weighted exponential distribution introduced by Gupta and Kundu(2009). We study some basic distributional properties…

统计方法学 · 统计学 2016-02-08 Deepesh Bhati , Savitri Joshi

Kurtosis minus squared skewness is bounded from below by 1, but for unimodal distributions this parameter is bounded by 189/125. In some applications it is natural to compare distributions by comparing their kurtosis-minus-squared-skewness…

统计理论 · 数学 2023-12-12 Chris A. J. Klaassen , Bert van Es
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