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Logistic regression model is widely used in many studies to investigate the relationship between a binary response variable $Y$ and a set of potential predictors $\mathbf X$. The binary response may represent, for example, the occurrence of…

统计方法学 · 统计学 2021-05-04 Aba Diop , El Hadji Deme , Aliou Diop

Linear mixed-effects models are widely used in analyzing clustered or repeated measures data. We propose a quasi-likelihood approach for estimation and inference of the unknown parameters in linear mixed-effects models with high-dimensional…

统计方法学 · 统计学 2021-03-10 Sai Li , Tony T. Cai , Hongzhe Li

We study approximate equivalence relations up to commensurability, in the presence of a definable measure. As a basic framework, we give a presentation of probability logic based on continuous logic. Hoover's normal form is valid here; if…

逻辑 · 数学 2024-07-30 Ehud Hrushovski

Longitudinal studies with binary or ordinal responses are widely encountered in various disciplines, where the primary focus is on the temporal evolution of the probability of each response category. Traditional approaches build from the…

统计方法学 · 统计学 2024-09-04 Jizhou Kang , Athanasios Kottas

The partially linear binary choice model can be used for estimating structural equations where nonlinearity may appear due to diminishing marginal returns, different life cycle regimes, or hectic physical phenomena. The inference procedure…

计量经济学 · 经济学 2023-12-01 Wenzheng Gao , Zhenting Sun

We propose a new mapping tool for supervised and unsupervised analysis of multivariate binary data with multiple items, questions, or response variables. The mapping assumes an underlying proximity response function, where participants can…

统计计算 · 统计学 2025-01-23 Mark de Rooij , Dion Woestenburg , Frank Busing

We construct a class of real-valued nonnegative binary functions on a set of jointly distributed random variables, which satisfy the triangle inequality and vanish at identical arguments (pseudo-quasi-metrics). These functions are useful in…

概率论 · 数学 2016-02-12 Ehtibar N. Dzhafarov , Janne V. Kujala

We consider a general statistical estimation problem wherein binary labels across different observations are not independent conditioned on their feature vectors, but dependent, capturing settings where e.g. these observations are collected…

机器学习 · 计算机科学 2021-07-22 Yuval Dagan , Constantinos Daskalakis , Nishanth Dikkala , Surbhi Goel , Anthimos Vardis Kandiros

In this paper, we consider the problem of minimizing a linear functional subject to uncertain linear and bilinear matrix inequalities, which depend in a possibly nonlinear way on a vector of uncertain parameters. Motivated by recent results…

In this paper, we consider binary response models with linear quantile restrictions. Considerably generalizing previous research on this topic, our analysis focuses on an infinite collection of quantile estimators. We derive a uniform…

统计方法学 · 统计学 2020-03-25 Stanislav Volgushev

We describe methods of estimating the entire Lyapunov spectrum of a spatially extended system from multivariate time-series observations. Provided that the coupling in the system is short range, the Jacobian has a banded structure and can…

混沌动力学 · 物理学 2009-10-31 R. Carretero-González , S. Ørstavik , J. Stark

Classical Biplot Methods allow for the simultaneous representation of individuals (rows) and variables (columns) of a data matrix. For Binary data, Logistic biplots have been recently developed.When data are nominal, linear or even binary…

统计方法学 · 统计学 2013-09-24 Julio César Hernández Sánchez , José Luis Vicente-Villardón

Logistic regression model is widely used in many studies to investigate the relationship between a binary response variable Y and a set of potential predictors $X_1,\ldots, X_p$ (for example: $Y = 1$ if the outcome occurred and $Y = 0$…

统计方法学 · 统计学 2025-02-25 Mouhamed Ndoye , Aba Diop

This paper considers an estimation of semiparametric functional (varying)-coefficient quantile regression with spatial data. A general robust framework is developed that treats quantile regression for spatial data in a natural…

统计理论 · 数学 2014-02-06 Zudi Lu , Qingguo Tang , Longsheng Cheng

In this article, we construct semiparametrically efficient estimators of linear functionals of a probability measure in the presence of side information using an easy empirical likelihood approach. We use estimated constraint functions and…

统计方法学 · 统计学 2023-03-01 Shan Wang , Hanxiang Peng

This paper presents a new method for spatially adaptive local (constant) likelihood estimation which applies to a broad class of nonparametric models, including the Gaussian, Poisson and binary response models. The main idea of the method…

统计理论 · 数学 2007-12-18 Denis Belomestny , Vladimir Spokoiny

The prevalence of spatially referenced multivariate data has impelled researchers to develop a procedure for the joint modeling of multiple spatial processes. This ordinarily involves modeling marginal and cross-process dependence for any…

统计方法学 · 统计学 2020-07-10 Ghulam A. Qadir , Ying Sun

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

The stochastic expansion of the marginal quasi-likelihood function associated with a class of generalized linear models is shown. Based on the expansion, a quasi-Bayesian information criterion is proposed that is able to deal with…

统计理论 · 数学 2017-04-19 Shoichi Eguchi

We propose a probabilistic graphical model realizing a minimal encoding of real variables dependencies based on possibly incomplete observation and an empirical cumulative distribution function per variable. The target application is a…

概率论 · 数学 2015-08-28 Victorin Martin , Jean-Marc Lasgouttes , Cyril Furtlehner