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Many relevant statistical and econometric models for the analysis of longitudinal data include a latent process to account for the unobserved heterogeneity between subjects in a dynamic fashion. Such a process may be continuous (typically…

统计理论 · 数学 2011-08-09 Francesco Bartolucci , Silvia Bacci , Fulvia Pennoni

This paper considers maximum likelihood (ML) estimation in a large class of models with hidden Markov regimes. We investigate consistency of the ML estimator and local asymptotic normality for the models under general conditions which allow…

统计理论 · 数学 2021-12-07 Demian Pouzo , Zacharias Psaradakis , Martin Sola

Deep directed generative models have attracted much attention recently due to their expressive representation power and the ability of ancestral sampling. One major difficulty of learning directed models with many latent variables is the…

机器学习 · 计算机科学 2015-06-16 Siqi Nie , Qiang Ji

In this paper, we study the problem of estimating latent variable models with arbitrarily corrupted samples in high dimensional space ({\em i.e.,} $d\gg n$) where the underlying parameter is assumed to be sparse. Specifically, we propose a…

机器学习 · 统计学 2020-10-20 Di Wang , Xiangyu Guo , Shi Li , Jinhui Xu

Longitudinal binary or count functional data are common in neuroscience, but are often too large to analyze with existing functional regression methods. We propose one-step penalized generalized estimating equations that supports…

统计方法学 · 统计学 2026-03-31 Gabriel Loewinger , Alex W. Levis , Erjia Cui , Francisco Pereira

We propose a new and computationally efficient algorithm for maximizing the observed log-likelihood for a multivariate normal data matrix with missing values. We show that our procedure based on iteratively regressing the missing on the…

统计方法学 · 统计学 2012-11-21 Nicolas Städler , Daniel J. Stekhoven , Peter Bühlmann

In order to learn the complex features of large spatio-temporal data, models with large parameter sets are often required. However, estimating a large number of parameters is often infeasible due to the computational and memory costs of…

统计计算 · 统计学 2018-07-02 Matthew Edwards , Stefano Castruccio , Dorit Hammerling

Joint models initially dedicated to a single longitudinal marker and a single time-to-event need to be extended to account for the rich longitudinal data of cohort studies. Multiple causes of clinical progression are indeed usually…

应用统计 · 统计学 2016-01-26 Cécile Proust-Lima , Jean-François Dartigues , Hélène Jacqmin-Gadda

Event-related potentials (ERPs) extracted from electroencephalography (EEG) data in response to stimuli are widely used in psychological and neuroscience experiments. A major goal is to link ERP characteristic components to subject-level…

统计方法学 · 统计学 2024-06-11 Cheng-Han Yu , Meng Li , Marina Vannucci

In this study, a longitudinal regression model for covariance matrix outcomes is introduced. The proposal considers a multilevel generalized linear model for regressing covariance matrices on (time-varying) predictors. This model…

统计方法学 · 统计学 2022-02-10 Yi Zhao , Brian S. Caffo , Xi Luo

A weighted likelihood technique for robust estimation of a multivariate Wrapped Normal distribution for data points scattered on a p-dimensional torus is proposed. The occurrence of outliers in the sample at hand can badly compromise…

统计方法学 · 统计学 2021-07-01 Giovanni Saraceno , Claudio Agostinelli , Luca Greco

To extend cognitive diagnostic models (CDMs) to longitudinal settings, stepwise approaches that integrate a CDM model with a latent transition model and covariates are widely used due to their flexibility. Previous research has shown that…

统计方法学 · 统计学 2026-04-20 Yawen Ma , Anastasia Ushakova , Kate Cain , Gabriel Wallin

In this paper, we consider statistical estimation of time-inhomogeneous aggregate Markov models. Unaggregated models, which corresponds to Markov chains, are commonly used in multi-state life insurance to model the biometric states of an…

统计理论 · 数学 2023-08-11 Jamaal Ahmad , Mogens Bladt

This paper focuses on the substantive application of multilevel LCA to the evolution of citizenship norms in a diverse array of democratic countries. To do so, we present a two-stage approach to fit multilevel latent class models: in the…

统计方法学 · 统计学 2023-07-21 Roberto Di Mari , Zsuzsa Bakk , Jennifer Oser , Jouni Kuha

Nonparametric regression models with locally stationary covariates have received increasing interest in recent years. As a nice relief of "curse of dimensionality" induced by large dimension of covariates, additive regression model is…

统计理论 · 数学 2016-12-02 Lixia Hu , Tao Huang , Jinhong You

Ecological Momentary Assessments (EMA) capture real-time thoughts and behaviors in natural settings, producing rich longitudinal data for statistical and physiological analyses. However, the robustness of these analyses can be compromised…

统计方法学 · 统计学 2023-11-21 Yiheng Wei , Donald Hedeker

Connectivity estimation is challenging in the context of high-dimensional data. A useful preprocessing step is to group variables into clusters, however, it is not always clear how to do so from the perspective of connectivity estimation.…

机器学习 · 统计学 2018-05-25 Ricardo Pio Monti , Aapo Hyvärinen

Network estimation and variable selection have been extensively studied in the statistical literature, but only recently have those two challenges been addressed simultaneously. In this paper, we seek to develop a novel method to…

统计方法学 · 统计学 2024-06-11 Nathan Osborne , Christine B. Peterson , Marina Vannucci

Interval-censored multi-state data arise in many studies of chronic diseases, where the health status of a subject can be characterized by a finite number of disease states and the transition between any two states is only known to occur…

统计方法学 · 统计学 2022-09-19 Yu Gu , Donglin Zeng , Gerardo Heiss , D. Y. Lin

In this paper, we study a generalization of the two-groups model in the presence of covariates --- a problem that has recently received much attention in the statistical literature due to its applicability in multiple hypotheses testing…

统计方法学 · 统计学 2019-02-01 Nabarun Deb , Sujayam Saha , Adityanand Guntuboyina , Bodhisattva Sen