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An efficient method for finding a better maximizer of computationally extensive probability distributions is proposed on the basis of a Bayesian optimization technique. A key idea of the proposed method is to use extreme values of…

数据分析、统计与概率 · 物理学 2018-03-14 Ryo Tamura , Koji Hukushima

Standard regression approaches assume that some finite number of the response distribution characteristics, such as location and scale, change as a (parametric or nonparametric) function of predictors. However, it is not always appropriate…

统计方法学 · 统计学 2020-07-14 Fernand A. Quintana , Peter Mueller , Alejandro Jara , Steven N. MacEachern

This paper introduces a class of copula models for spatial data, based on multivariate Pareto-mixture distributions. We explore the tail properties of these models, demonstrating their ability to capture both tail dependence and asymptotic…

统计方法学 · 统计学 2026-01-28 Pavel Krupskii

We study the posterior distribution of the Bayesian multiple change-point regression problem when the number and the locations of the change-points are unknown. While it is relatively easy to apply the general theory to obtain the…

统计理论 · 数学 2008-08-21 Heng Lian

Accurate forecasts of electricity spot prices are essential to the daily operational and planning decisions made by power producers and distributors. Typically, point forecasts of these quantities suffice, particularly in the Nord Pool…

Conditional Autoregressive Value-at-Risk and Conditional Autoregressive Expectile have become two popular approaches for direct measurement of market risk. Since their introduction several improvements both in the Bayesian and in the…

统计金融 · 定量金融 2019-10-01 Marco Bottone , Mauro Bernardi , Lea Petrella

Although linear regression models are fundamental tools in statistical science, the estimation results can be sensitive to outliers. While several robust methods have been proposed in frequentist frameworks, statistical inference is not…

统计方法学 · 统计学 2020-07-15 Shintaro Hashimoto , Shonosuke Sugasawa

Exponential random graph models are an important tool in the statistical analysis of data. However, Bayesian parameter estimation for these models is extremely challenging, since evaluation of the posterior distribution typically involves…

统计计算 · 统计学 2017-05-05 Lampros Bouranis , Nial Friel , Florian Maire

This paper develops a methodology for approximating the posterior first two moments of the posterior distribution in Bayesian inference. Partially specified probability models, which are defined only by specifying means and variances, are…

统计方法学 · 统计学 2009-01-27 K. Triantafyllopoulos , P. J. Harrison

An efficient algorithm is proposed for Bayesian model calibration, which is commonly used to estimate the model parameters of non-linear, computationally expensive models using measurement data. The approach is based on Bayesian statistics:…

Count-weighted temporal networks often exhibit unequal dispersion in the edge weights, which cannot be fully explained by modelling observational heterogeneity through latent factors in the conditional mean. Therefore, we propose new…

统计方法学 · 统计学 2026-04-15 Giulia Carallo , Roberto Casarin , Antonio Peruzzi

We explore skewed parton distributions for simple, model wave-functions in a truncated two-body Fock space. Consideration of non-Gaussian wave functions is our main emphasis, from which we observe the distributions are bimodal (there can be…

高能物理 - 唯象学 · 物理学 2009-11-07 B. C. Tiburzi , G. A. Miller

In this article, a multiple split method is proposed that enables construction of multidimensional probabilistic forecasts of a selected set of variables. The method uses repeated resampling to estimate uncertainty of simultaneous…

风险管理 · 定量金融 2024-07-11 Katarzyna Maciejowska , Weronika Nitka

We consider monotonic, multiple regression for a set of contiguous regions (lattice data). The regression functions permissibly vary between regions and exhibit geographical structure. We develop new Bayesian non-parametric methodology…

统计方法学 · 统计学 2019-04-16 Christian Rohrbeck , Deborah Costain , Arnoldo Frigessi

Recently it has been observed that the bivariate generalized linear failure rate distribution can be used quite effectively to analyze lifetime data in two dimensions. This paper introduces a more general class of bivariate distributions.…

应用统计 · 统计学 2015-08-06 Rasool Roozegar , Ali Akbar Jafari

We use scattering theoretic methods to prove strong dynamical and exponential localization for one dimensional, continuum, Anderson-type models with singular distributions; in particular the case of a Bernoulli distribution is covered. The…

数学物理 · 物理学 2014-12-30 David Damanik , Robert Sims , Günter Stolz

Traditional mediation models in both the frequentist and Bayesian frameworks typically assume normality of the error terms. Violations of this assumption can impair the estimation and hypothesis testing of the mediation effect in…

统计方法学 · 统计学 2025-09-04 Zongyu Li , Mark Steel , Zhiyong Zhang

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

Several distributions and families of distributions are proposed to model skewed data, think, e.g., of skew-normal and related distributions. Lambert W random variables offer an alternative approach where, instead of constructing a new…

统计方法学 · 统计学 2023-10-17 Meelis Käärik , Anne Selart , Tuuli Puhkim , Liivika Tee

A Bayesian approach termed BAyesian Least Squares Optimization with Nonnegative L1-norm constraint (BALSON) is proposed. The error distribution of data fitting is described by Gaussian likelihood. The parameter distribution is assumed to be…

机器学习 · 计算机科学 2018-07-10 Jiyang Xie , Zhanyu Ma , Guoqiang Zhang , Jing-Hao Xue , Jen-Tzung Chien , Zhiqing Lin , Jun Guo