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We formalise and generalise the definition of the family of univariate double two--piece distributions, obtained by using a density--based transformation of unimodal symmetric continuous distributions with a shape parameter. The resulting…

统计方法学 · 统计学 2015-08-07 F. J. Rubio , M. F. J. Steel

We study objective Bayesian inference for linear regression models with residual errors distributed according to the class of two-piece scale mixtures of normal distributions. These models allow for capturing departures from the usual…

应用统计 · 统计学 2016-05-09 F. J. Rubio , K. Yu

Forecasters using flexible neural networks (NN) in multi-horizon distributional regression setups often struggle to gain detailed insights into the underlying mechanisms that lead to the predicted feature-conditioned distribution…

机器学习 · 计算机科学 2024-12-23 Alessandro Brusaferri , Danial Ramin , Andrea Ballarino

We study Bayesian linear regression models with skew-symmetric scale mixtures of normal error distributions. These kinds of models can be used to capture departures from the usual assumption of normality of the errors in terms of heavy…

应用统计 · 统计学 2016-01-12 Francisco J. Rubio , Marc G. Genton

This paper provides two different novel approaches of slice sampling to estimate the parameters of absolute continuous Marshall-Olkin bivariate Pareto distribution with location and scale parameters. We carry out the bayesian analysis…

统计方法学 · 统计学 2018-09-19 Biplab Paul , Arabin Kumar Dey , Sanku Dey

Insurance risks data typically exhibit skewed behaviour. In this paper, we propose a Bayesian approach to capture the main features of these datasets. This work extends the methodology introduced in Villa and Walker (2014a) by considering…

统计方法学 · 统计学 2016-07-19 Fabrizio Leisen , Juan Miguel Marin , Cristiano Villa

The four-parameter generalized beta distribution of the second kind (GBII) has been proposed for modelling insurance losses with heavy-tailed features. The aim of this paper is to present a parametric composite GBII regression modelling by…

统计方法学 · 统计学 2024-01-29 Zhengxiao Li , Fei Wang , Zhengtang Zhao

When the target variable exhibits a semicontinuous behaviour (i.e. a point mass in a single value and a continuous distribution elsewhere) parametric `two-part regression models' have been extensively used and investigated. In this paper, a…

统计方法学 · 统计学 2014-08-14 Emanuela Dreassi , Emilia Rocco

This work introduces a novel methodology based on finite mixtures of Student-t distributions to model the errors' distribution in linear regression models. The novelty lies on a particular hierarchical structure for the mixture distribution…

统计方法学 · 统计学 2017-11-15 Nívea B. da Silva , Marcos O. Prates , Flávio B. Gonçalves

We propose a new model for regression and dependence analysis when addressing spatial data with possibly heavy tails and an asymmetric marginal distribution. We first propose a stationary process with $t$ marginals obtained through scale…

统计理论 · 数学 2019-12-20 M. Bevilacqua , C. Caamaño , R. B. Arellano Valle , V. Morales-Onñate

Skewness is a common occurrence in statistical applications. In recent years, various distribution families have been proposed to model skewed data by introducing unequal scales based on the median or mode. However, we argue that the point…

统计方法学 · 统计学 2024-01-10 Yiyuan She , Xiaoqiang Wu , Lizhu Tao , Debajyoti Sinha

In environmental studies, many data are typically skewed and it is desired to have a flexible statistical model for this kind of data. In this paper, we study a class of skewed distributions by invoking arguments as described by Ferreira…

应用统计 · 统计学 2018-04-06 Indranil Ghosh , Hon Keung Tony Ng

We introduce a generalized Bayesian method for multiple changepoint analysis with a loss function inspired by multinomial logistic regression. The method does not require a specification of the data-generating process and avoids restrictive…

统计方法学 · 统计学 2026-03-27 Yuhui Wang , Andrew M. Thomas , Michael Jauch

Accurately quantifying tail risks-rare but high-impact events such as financial crashes or extreme weather-is a central challenge in risk management, with serially dependent data. We develop a Bayesian framework based on the Generalized…

统计方法学 · 统计学 2025-10-17 David L. Carl , Simone A. Padoan , Stefano Rizzelli

Efficient outage location is critical to enhancing the resilience of power distribution systems. However, accurate outage location requires combining massive evidence received from diverse data sources, including smart meter (SM) last gasp…

信号处理 · 电气工程与系统科学 2021-05-11 Yuxuan Yuan , Kaveh Dehghanpour , Zhaoyu Wang , Fankun Bu

An expanded family of mixtures of multivariate power exponential distributions is introduced. While fitting heavy-tails and skewness has received much attention in the model-based clustering literature recently, we investigate the use of a…

统计方法学 · 统计学 2015-06-15 Utkarsh J. Dang , Ryan P. Browne , Paul D. McNicholas

The aim of this paper, is to define a bivariate exponentiated generalized linear exponential distribution based on Marshall-Olkin shock model. Statistical and reliability properties of this distribution are discussed. This includes…

统计理论 · 数学 2017-10-03 Mohamed Ibrahim , M. S. Eliwa , M. El- Morshedy

In regression analysis under artificial neural networks, the prediction performance depends on determining the appropriate weights between layers. As randomly initialized weights are updated during back-propagation using the gradient…

机器学习 · 计算机科学 2020-09-09 Eunho Koo , Hyungjun Kim

We propose a tractable semiparametric estimation method for structural dynamic discrete choice models. The distribution of additive utility shocks in the proposed framework is modeled by location-scale mixtures of extreme value…

计量经济学 · 经济学 2023-08-15 Andriy Norets , Kenichi Shimizu

Doubly-intractable posterior distributions arise in many applications of statistics concerned with discrete and dependent data, including physics, spatial statistics, machine learning, the social sciences, and other fields. A specific…

统计计算 · 统计学 2021-05-20 Jaewoo Park , Ick Hoon Jin , Michael Schweinberger
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