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In this paper we concentrate on an alternative modeling strategy for positive data that exhibit spatial or spatio-temporal dependence. Specifically we propose to consider stochastic processes obtained trough a monotone transformation of…

统计方法学 · 统计学 2020-04-08 M. Bevilacqua , C. Caamaño , C. Gaetan

Logistic regression is a classical model for describing the probabilistic dependence of binary responses to multivariate covariates. We consider the predictive performance of the maximum likelihood estimator (MLE) for logistic regression,…

统计理论 · 数学 2026-02-20 Hugo Chardon , Matthieu Lerasle , Jaouad Mourtada

We consider a model for multivariate data with heavy-tailed marginal distributions and a Gaussian dependence structure. The different marginals in the model are allowed to have non-identical tail behavior in contrast to most popular…

统计方法学 · 统计学 2023-05-23 Bikramjit Das

Consider a logistic partially linear model, in which the logit of the mean of a binary response is related to a linear function of some covariates and a nonparametric function of other covariates. We derive simple, doubly robust estimators…

统计方法学 · 统计学 2019-01-29 Zhiqiang Tan

We propose a penalized likelihood method to fit the bivariate categorical response regression model. Our method allows practitioners to estimate which predictors are irrelevant, which predictors only affect the marginal distributions of the…

统计方法学 · 统计学 2022-01-25 Aaron J. Molstad , Adam J. Rothman

Two popular approaches for relating correlated measurements of a non-Gaussian response variable to a set of predictors are to fit a marginal model using generalized estimating equations and to fit a generalized linear mixed model by…

统计方法学 · 统计学 2017-02-23 Jeffrey J. Gory , Peter F. Craigmile , Steven N. MacEachern

We consider analysis of relational data (a matrix), in which the rows correspond to subjects (e.g., people) and the columns correspond to attributes. The elements of the matrix may be a mix of real and categorical. Each subject and…

机器学习 · 计算机科学 2012-07-03 Esther Salazar , Matthew Cain , Elise Darling , Stephen Mitroff , Lawrence Carin

In regression models with missing outcomes, selection bias can arise when the missingness mechanism depends on the outcome itself. This proposal focuses on an extension of the Heckman model to a setting where the outcome is binary and both…

统计方法学 · 统计学 2025-11-18 Marco Doretti , Elena Stanghellini , Alessandro Taraborrelli

Unmeasured covariates constitute one of the important problems in causal inference. Even if there are some unmeasured covariates, some instrumental variable methods such as a two-stage residual inclusion (2SRI) estimator, or a…

统计方法学 · 统计学 2021-12-30 Shunichiro Orihara

To take sample biases and skewness in the observations into account, practitioners frequently weight their observations according to some marginal distribution. The present paper demonstrates that such weighting can indeed improve the…

统计方法学 · 统计学 2018-11-05 Tobias Niebuhr , Mathias Trabs

The length-biased Birnbaum-Saunders distribution is both useful and practical for environmental sciences. In this paper, we initially derive some new properties for the length-biased Birnbaum-Saunders distribution, showing that one of its…

统计方法学 · 统计学 2020-12-29 Kessys L. P. Oliveira , Bruno S. Castro , Helton Saulo , Roberto Vila

Logistic regression is the most commonly used method for constructing predictive models for binary responses. One significant drawback to this approach, however, is that the asymptotes of the logistic response function are fixed at 0 and 1,…

统计方法学 · 统计学 2026-02-09 Anthony Almudevar , Jacob Almudevar

Logistic regression is a commonly used building block in ecological modeling, but its additive structure among environmental predictors often assumes compensatory relationships between predictors, which can lead to problematic results. In…

定量方法 · 定量生物学 2023-02-21 Hongliang Bu , Yunyi Shen

Modeling binary and categorical data is one of the most commonly encountered tasks of applied statisticians and econometricians. While Bayesian methods in this context have been available for decades now, they often require a high level of…

统计计算 · 统计学 2023-07-03 Gregor Zens , Sylvia Frühwirth-Schnatter , Helga Wagner

The Gumbel model is a very popular statistical model due to its wide applicability for instance in the course of certain survival, environmental, financial or reliability studies. In this work, we have introduced a bimodal generalization of…

统计方法学 · 统计学 2021-06-22 Cira E. G. Otiniano , Roberto Vila , Pedro C. Brom , Marcelo Bourguignon

High-dimensional multivariate longitudinal data, which arise when many outcome variables are measured repeatedly over time, are becoming increasingly common in social, behavioral and health sciences. We propose a latent variable model for…

统计方法学 · 统计学 2025-12-09 Sze Ming Lee , Yunxiao Chen , Tony Sit

In this paper we develop a very general class of bivariate discrete distributions. The basic idea is very simple. The marginals are obtained by taking the random geometric sum of a baseline distribution function. The proposed class of…

统计方法学 · 统计学 2018-05-22 Debasis Kundu

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

We consider a discrete latent variable model for two-way data arrays, which allows one to simultaneously produce clusters along one of the data dimensions (e.g. exchangeable observational units or features) and contiguous groups, or…

Log-linear models are a classical tool for the analysis of contingency tables. In particular, the subclass of graphical log-linear models provides a general framework for modelling conditional independences. However, with the exception of…

统计理论 · 数学 2010-03-04 Mathias Drton , Thomas S. Richardson