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Maximum likelihood estimates (MLEs) are asymptotically normally distributed, and this property is used in meta-analyses to test the heterogeneity of estimates, either for a single cluster or for several sub-groups. More recently, MLEs for…

统计理论 · 数学 2022-02-28 Anthony J. Webster

We develop two novel approaches for constructing skewed and bimodal flexible distributions that can effectively generalize classical symmetric distributions. We illustrate the application of introduced techniques by extending normal,…

统计方法学 · 统计学 2021-07-01 Jamil Ownuk , Ahmad Nezakati , Hossein Baghishani

Many approximate Bayesian inference methods assume a particular parametric form for approximating the posterior distribution. A multivariate Gaussian distribution provides a convenient density for such approaches; examples include the…

统计方法学 · 统计学 2023-02-20 Jackson Zhou , Clara Grazian , John Ormerod

The multivariate extended skew-normal distribution allows for accommodating raw data which are skewed and heavy tailed, and has at least three appealing statistical properties, namely closure under conditioning, affine transformations, and…

统计方法学 · 统计学 2015-06-19 Mathieu Gerber , Florian Pelgrin

Algorithmic bias continues to be a key concern of learning analytics. We study the statistical properties of the Absolute Between-ROC Area (ABROCA) metric. This fairness measure quantifies group-level differences in classifier performance…

机器学习 · 统计学 2024-12-02 Conrad Borchers , Ryan S. Baker

The beta distribution serves as a canonical tool for modeling probabilities in statistics and machine learning. However, there is limited work on flexible and computationally convenient stochastic process extensions for modeling dependent…

统计方法学 · 统计学 2025-03-18 Changwoo J. Lee , Alessandro Zito , Huiyan Sang , David B. Dunson

The family of skew-symmetric distributions is a wide set of probability density functions obtained by combining in a suitable form a few components which are selectable quite freely provided some simple requirements are satisfied. Intense…

概率论 · 数学 2010-12-22 Adelchi Azzalini , Giuliana Regoli

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

The paper presents some distributional properties of logistic order statistics subject to independent exponential one-sided and two-sided shifts. Utilizing these properties, we extend several known results and obtain some new…

概率论 · 数学 2011-12-20 M. Ahsanullah , George P. Yanev , Constantin Onica

Nowadays, beta and Kumaraswamy distributions are the most popular models to fit continuous bounded data. These models present some characteristics in common and to select one of them in a practical situation can be of great interest. With…

统计方法学 · 统计学 2014-06-10 Rodrigo B. Silva , Wagner Barreto-Souza

In the problem of selecting variables in a multivariate linear regression model, we derive new Bayesian information criteria based on a prior mixing a smooth distribution and a delta distribution. Each of them can be interpreted as a fusion…

统计理论 · 数学 2022-09-29 Haruki Kono , Tatsuya Kubokawa

The implementation of Bayesian predictive procedures under standard normal models is considered. Two distributions are of particular interest, the K-prime and K-square distributions. They also give exact inferences for simple and multiple…

统计方法学 · 统计学 2020-07-17 Jacques Poitevineau , Bruno Lecoutre

The convex transform order is one way to make precise comparison between the skewness of probability distributions on the real line. We establish a simple and complete characterisation of when one Beta distribution is smaller than another…

概率论 · 数学 2021-01-01 Idir Arab , Paulo Eduardo Oliveira , Tilo Wiklund

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

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…

Using frequency distributions of daily closing price time series of several financial market indexes, we investigate whether the bias away from an equiprobable sequence distribution found in the data, predicted by algorithmic information…

交易与市场微观结构 · 定量金融 2010-08-17 Hector Zenil , Jean-Paul Delahaye

The widely recommended procedure of Bayesian model averaging is flawed in the M-open setting in which the true data-generating process is not one of the candidate models being fit. We take the idea of stacking from the point estimation…

统计方法学 · 统计学 2018-10-15 Yuling Yao , Aki Vehtari , Daniel Simpson , Andrew Gelman

The problem of skewness is common among clinical trials and survival data which has being the research focus derivation and proposition of different flexible distributions. Thus, a new distribution called Extended Rayleigh Lomax…

统计理论 · 数学 2021-09-15 N. I. Badmus , O. Faweya , S. A. Ige

The log-Lindley distribution was recently introduced in the literature as a viable alternative to the Beta distribution. This distribution has a simple structure and possesses useful theoretical properties relevant in insurance. Classical…

统计理论 · 数学 2019-09-06 Aniket Biswas , Subrata Chakraborty , Meghna Mukherjee

The hyperbolic secant distribution has several generalizations with applications in finance. In this study, we explore the dual geometric structure of one such generalization, namely the beta-logistic distribution. Recent findings also…

统计理论 · 数学 2025-09-03 Lin Jiu , Linyu Peng