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The generalized Pareto distribution (GPD) is a fundamental model for analyzing the tail behavior of a distribution. In particular, the shape parameter of the GPD characterizes the extremal properties of the distribution. As described in…

统计方法学 · 统计学 2026-02-18 Takuma Yoshida , Koki Momoki , Shuichi Kawano

In this paper we develop a bivariate discrete generalized exponential distribution, whose marginals are discrete generalized exponential distribution as proposed by Nekoukhou, Alamatsaz and Bidram ("Discrete generalized exponential…

统计方法学 · 统计学 2017-01-16 Vahid Nekoukhou , Debasis Kundu

In extreme values theory, for a sufficiently large block size, the maxima distribution is approximated by the generalized extreme value (GEV) distribution. The GEV distribution is a family of continuous probability distributions, which has…

统计方法学 · 统计学 2021-09-28 Cira E. G. Otiniano , Bianca Sousa , Roberto Vila , Marcelo Bourguignon

While numerous methods have been proposed for computing distances between probability distributions in Euclidean space, relatively little attention has been given to computing such distances for distributions on graphs. However, there has…

机器学习 · 计算机科学 2023-06-06 Samuel Leone , Aarthi Venkat , Guillaume Huguet , Alexander Tong , Guy Wolf , Smita Krishnaswamy

Generalized linear models (GLM) are link function based statistical models. Many supervised learning algorithms are extensions of GLMs and have link functions built into the algorithm to model different outcome distributions. There are two…

统计方法学 · 统计学 2019-05-02 Colleen M. Farrelly , Srikanth Namuduri , Uchenna Chukwu

Sine-skewed circular distributions are identifiable and have easily-computable trigonometric moments and a simple random number generation algorithm, whereas they are known to have relatively low levels of asymmetry. This study proposes a…

统计方法学 · 统计学 2024-02-16 Yoichi Miyata , Takayuki Shiohama , Toshihiro Abe

The pseudo-Lindley distribution was introduced as a useful generalization of the Lindley distribution in Zeghdoudi and Nedjar (2016) who showed interesting properties of their new laws and efficiencies in modeling data in Reliability and…

统计理论 · 数学 2023-03-29 Gane Samb Lo , Tchilabalo Abozou Kpanzou , Cheikh Mohamed Haidara

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

The most popular approach in extreme value statistics is the modelling of threshold exceedances using the asymptotically motivated generalised Pareto distribution. This approach involves the selection of a high threshold above which the…

统计方法学 · 统计学 2014-05-27 Ioannis Papastathopoulos , Jonathan A. Tawn

Extreme value distributions are routinely employed to assess risks connected to extreme events in a large number of applications. They typically are two- or three- parameter distributions: the inference can be unstable, which is…

统计理论 · 数学 2026-02-19 Nathan Huet , Ilaria Prosdocimi

We develop some graph-based tests for spherical symmetry of a multivariate distribution using a method based on data augmentation. These tests are constructed using a new notion of signs and ranks that are computed along a path obtained by…

统计理论 · 数学 2024-12-10 Bilol Banerjee , Anil K. Ghosh

Tempered stable distributions are frequently used in financial applications (e.g., for option pricing) in which the tails of stable distributions would be too heavy. Given the non-explicit form of the probability density function,…

统计理论 · 数学 2024-07-08 Till Massing

Using gradient descent (GD) with fixed or decaying step-size is a standard practice in unconstrained optimization problems. However, when the loss function is only locally convex, such a step-size schedule artificially slows GD down as it…

机器学习 · 统计学 2023-02-03 Nhat Ho , Tongzheng Ren , Sujay Sanghavi , Purnamrita Sarkar , Rachel Ward

The multivariate hypergeometric distribution describes sampling without replacement from a discrete population of elements divided into multiple categories. Addressing a gap in the literature, we tackle the challenge of estimating discrete…

机器学习 · 计算机科学 2024-06-11 Liam Hodgson , Danilo Bzdok

An approach is proposed to calculate Generalized Parton Distributions (GPDs) in a Constituent Quark Model (CQM) scenario. These off-diagonal distributions are obtained from momentum space wave functions to be evaluated in a given non…

高能物理 - 唯象学 · 物理学 2007-05-23 Sergio Scopetta , Vicente Vento

In this paper we introduce a new parametric distribution, the Mixed Tempered Stable. It has the same structure of the Normal Variance Mean Mixtures but the normality assumption leaves place to a semi-heavy tailed distribution. We show that,…

统计金融 · 定量金融 2014-05-30 Edit Rroji , Lorenzo Mercuri

This paper introduces a new two-parameter distribution, referred to as the Shiha distribution, which provides a flexible model for skewed lifetime data with either heavy or light tails. The proposed distribution is applicable to various…

统计方法学 · 统计学 2026-02-04 F. A. Shiha

Dynamic Time Warping (DTW) and Geometric Edit Distance (GED) are basic similarity measures between curves or general temporal sequences (e.g., time series) that are represented as sequences of points in some metric space $(X,…

数据结构与算法 · 计算机科学 2020-01-29 Omer Gold , Micha Sharir

A generalization of the generalized inverse Weibull distribution so-called transmuted generalized inverse Weibull dis- tribution is proposed and studied. We will use the quadratic rank transmutation map (QRTM) in order to generate a…

统计方法学 · 统计学 2013-09-16 Faton Merovci , Ibrahim Elbatal , Alaa Ahmed

In this paper we propose a new lifetime model, called the odd generalized exponential linear failure rate distribution. Some statistical properties of the proposed distribution such as the moments, the quantiles, the median, and the mode…

统计理论 · 数学 2015-10-28 M. A. El-Damcese , Abdelfattah Mustafa , B. S. El-Desouky , M. E. Mustafa