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The Gamma-Gamma (GG) distribution has recently attracted the interest within the research community due to its involvement in various communication systems. In the context of RF wireless communications, GG distribution accurately models the…

信息论 · 计算机科学 2009-05-11 Nestor D. Chatzidiamantis , George K. Karagiannidis

A scale mixture of normals is a distribution formed by mixing a collection of normal distributions with fixed mean but different variances. A generalized gamma scale mixture draws the variances from a generalized gamma distribution.…

Interpretable Graph Neural Networks (GNNs) aim to reveal the underlying reasoning behind model predictions, attributing their decisions to specific subgraphs that are informative. However, existing subgraph-based interpretable methods…

机器学习 · 计算机科学 2025-05-02 Jie Yang , Yuwen Wang , Kaixuan Chen , Tongya Zheng , Yihe Zhou , Zhenbang Xiao , Ji Cao , Mingli Song , Shunyu Liu

A general class of models is proposed that is able to estimate the whole predictive distribution of a dependent variable $Y$ given a vector of explanatory variables $\xb$. The models exploit that the strength of explanatory variables to…

统计方法学 · 统计学 2021-03-25 Gerhard Tutz

The Generalized Linear Model (GLM) for the Gamma distribution (glmGamma) is widely used in modeling continuous, non-negative and positive-skewed data, such as insurance claims and survival data. However, model selection for GLM depends on…

统计方法学 · 统计学 2018-04-24 Xin Chen , Aleksandr Y. Aravkin , R. Douglas Martin

Health economic evaluations often require predictions of survival rates beyond the follow-up period. Parametric survival models can be more convenient for economic modelling than the Cox model. The generalized gamma (GG) and generalized F…

统计计算 · 统计学 2022-07-13 Han Fu , Shahrul Mt-Isa , Richard Baumgartner , William Malbecq

Currently, attention mechanisms have garnered increasing attention in Graph Neural Networks (GNNs), such as Graph Attention Networks (GATs) and Graph Transformers (GTs). It is not only due to the commendable boost in performance they offer…

机器学习 · 计算机科学 2024-10-10 Lijie Hu , Tianhao Huang , Lu Yu , Wanyu Lin , Tianhang Zheng , Di Wang

Traditional survival analysis techniques focus on the occurrence of failures over the time. During analysis of such events, ignoring the related unobserved covariates or heterogeneity involved in data sample may leads us to adverse…

统计方法学 · 统计学 2021-12-22 Shikhar Tyagi , Arvind Pandey , David D Hanagal

We propose a novel probabilistic model to facilitate the learning of multivariate tail dependence of multiple financial assets. Our method allows one to construct from known random vectors, e.g., standard normal, sophisticated joint…

风险管理 · 定量金融 2020-01-14 Xing Yan , Qi Wu , Wen Zhang

This article aims to introduced a new distribution named as extended xgamma (EXg) distribution. This generalization is derived from xgamma distribution (Xg), a special finite mixture of exponential and gamma distributions [see, Sen et al.…

The tail of the distribution of a sum of a random number of independent and identically distributed nonnegative random variables depends on the tails of the number of terms and of the terms themselves. This situation is of interest in the…

概率论 · 数学 2008-12-10 Christian Y. Robert , Johan Segers

In meta-analysis, the random-effects models are standard tools to address between-study heterogeneity in evidence synthesis analyses. For the random-effects distribution models, the normal distribution model has been adopted in most…

应用统计 · 统计学 2021-07-28 Hisashi Noma , Kengo Nagashima , Shogo Kato , Satoshi Teramukai , Toshi A. Furukawa

We propose a wide class of preferential attachment models of random graphs, generalizing previous approaches. Graphs described by these models obey the power-law degree distribution, with the exponent that can be controlled in the models.…

组合数学 · 数学 2015-05-20 Liudmila Ostroumova , Alexander Ryabchenko , Egor Samosvat

Copulas, generalized estimating equations, and generalized linear mixed models promote the analysis of grouped data where non-normal responses are correlated. Unfortunately, parameter estimation remains challenging in these three…

统计方法学 · 统计学 2024-10-16 Sarah S. Ji , Benjamin B. Chu , Hua Zhou , Kenneth Lange

Graph Neural Networks (GNNs) have received increasing attention due to their ability to learn from graph-structured data. However, their predictions are often not interpretable. Post-hoc instance-level explanation methods have been proposed…

机器学习 · 计算机科学 2023-07-18 Jiaxing Zhang , Dongsheng Luo , Hua Wei

Graph is a prevalent data structure employed to represent the relationships between entities, frequently serving as a tool to depict and simulate numerous systems, such as molecules and social networks. However, real-world graphs usually…

机器学习 · 计算机科学 2024-12-24 Jiawen Qin , Pengfeng Huang , Qingyun Sun , Cheng Ji , Xingcheng Fu , Jianxin Li

Modeling is a challenging topic and using parametric models is an important stage to reach flexible function for modeling. Weibull distribution has two parameters which are shape $\alpha$ and scale $\beta$. In this study, bimodality…

统计方法学 · 统计学 2020-12-03 Roberto Vila , Mehmet Niyazi Çankaya

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

This paper introduces a new three-parameters model called the Weibull-G exponential distribution (WGED) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including quantile, moments,…

统计理论 · 数学 2016-06-24 Abdelfattah Mustafa , B. S. El-Desouky , Shamsan AL-Garash

Graphs serve as generic tools to encode the underlying relational structure of data. Often this graph is not given, and so the task of inferring it from nodal observations becomes important. Traditional approaches formulate a convex inverse…

机器学习 · 计算机科学 2024-06-24 Max Wasserman , Gonzalo Mateos