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The univariate Birnbaum-Saunders distribution has been used quite effectively to model times to failure for materials subject to fatigue and for modeling lifetime data. In this article, we define a skewed version of the Birnbaum-Saunders…

Methodology · Statistics 2012-04-30 Artur J. Lemonte , Guillermo Martínez-Florez , Germán Moreno-Arenas

In this study, we propose a robust mixture regression procedure based on the skew t distribution to model heavy-tailed and/or skewed errors in a mixture regression setting. Using the scale mixture representation of the skew t distribution,…

Statistics Theory · Mathematics 2017-06-12 Fatma Zehra Doğru , Olcay Arslan

Large, non-Gaussian spatial datasets pose a considerable modeling challenge as the dependence structure implied by the model needs to be captured at different scales, while retaining feasible inference. Skew-normal and skew-t distributions…

Methodology · Statistics 2017-12-07 Felipe Tagle , Stefano Castruccio , Marc G. Genton

This work proposes a unified framework for portfolio allocation, covering both asset selection and optimization, based on a multiple-hypothesis predict-then-optimize approach. The portfolio is modeled as a structured ensemble, where each…

Portfolio Management · Quantitative Finance 2025-11-19 Alejandro Rodriguez Dominguez , Muhammad Shahzad , Xia Hong

In recent work, robust mixture modelling approaches using skewed distributions have been explored to accommodate asymmetric data. We introduce parsimony by developing skew-t and skew-normal analogues of the popular GPCM family that employ…

Methodology · Statistics 2013-11-12 Irene Vrbik , Paul D. McNicholas

We propose a new variable selection procedure for a functional linear model with multiple scalar responses and multiple functional predictors. This method is based on basis expansions of the involved functional predictors and coefficients…

Statistics Theory · Mathematics 2023-11-03 Alban Mina Mbina , Guy Martial Nkiet

There exists a range of different models for estimating and simulating credit risk transitions to optimally manage credit risk portfolios and products. In this chapter we present a Coupled Markov Chain approach to model rating transitions…

Neural and Evolutionary Computing · Computer Science 2014-01-21 Ronald Hochreiter , David Wozabal

Hamiltonian Monte Carlo (HMC) has emerged as a powerful Markov Chain Monte Carlo (MCMC) method to sample from complex continuous distributions. However, a fundamental limitation of HMC is that it can not be applied to distributions with…

Computation · Statistics 2021-12-10 Guangyao Zhou

We develop a distribution regression model under endogenous sample selection. This model is a semi-parametric generalization of the Heckman selection model. It accommodates much richer effects of the covariates on outcome distribution and…

Econometrics · Economics 2023-12-19 Victor Chernozhukov , Iván Fernández-Val , Siyi Luo

We consider the recently introduced application of the Deck of Cards Method (DCM) to ordinal regression proposing two extensions related to two main research trends in Multiple Criteria Decision Aiding, namely scaling and ordinal regression…

Optimization and Control · Mathematics 2025-03-19 Salvatore Corrente , Salvatore Greco , Silvano Zappalá

A wide variety of machine learning algorithms such as support vector machine (SVM), minimax probability machine (MPM), and Fisher discriminant analysis (FDA), exist for binary classification. The purpose of this paper is to provide a…

Machine Learning · Computer Science 2012-06-22 Akiko Takeda , Hiroyuki Mitsugi , Takafumi Kanamori

Much work has been done in the area of the cluster weighted model (CWM), which extends the finite mixture of regression model to include modelling of the covariates. Although many types of distributions have been considered for both the…

Species sampling processes have long served as the fundamental framework for modeling random discrete distributions and exchangeable sequences. However, data arising from distinct but related sources require a broader notion of…

Statistics Theory · Mathematics 2026-02-03 Beatrice Franzolini , Antonio Lijoi , Igor Prünster , Giovanni Rebaudo

Many multivariate statistical analysis methods and their corresponding probabilistic counterparts have been adopted to develop process monitoring models in recent decades. However, the insightful connections between them have rarely been…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Wanke Yu , Min Wu , Biao Huang , Chengda Lu

Modern datasets are often in the form of matrices or arrays,potentially having correlations along each set of data indices. For example, data involving repeated measurements of several variables over time may exhibit temporal correlation as…

Methodology · Statistics 2010-08-13 Peter D. Hoff

Simple exponential smoothing is widely used in forecasting economic time series. This is because it is quick to compute and it generally delivers accurate forecasts. On the other hand, its multivariate version has received little attention…

Computation · Statistics 2021-03-17 Federico Poloni , Giacomo Sbrana

In this paper, we propose finite mixtures of multivariate skew Laplace distributions to model both skewness and heavy-tailedness in the heterogeneous data sets. The maximum likelihood estimators for the parameters of interest are obtained…

Statistics Theory · Mathematics 2017-02-03 Fatma Zehra Doğru , Y. Murat Bulut , Olcay Arslan

Suppose that we are given a time series where consecutive samples are believed to come from a probabilistic source, that the source changes from time to time and that the total number of sources is fixed. Our objective is to estimate the…

Information Theory · Computer Science 2018-04-24 Mark Kozdoba , Shie Mannor

In this paper, we will discuss the concept of an array variate random variable and introduce a class of skew normal array densities that are obtained through a selection model that uses the array variate normal density as the kernel and the…

Statistics Theory · Mathematics 2011-03-23 Deniz Akdemir

Multivariate normal mixtures provide a flexible model for high-dimensional data. They are widely used in statistical genetics, statistical finance, and other disciplines. Due to the unboundedness of the likelihood function, classical…

Statistics Theory · Mathematics 2008-05-27 Jiahua Chen , Xianming Tan
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