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Point and interval estimation of future disability inception and recovery rates are predominantly carried out by combining generalized linear models (GLM) with time series forecasting techniques into a two-step method involving parameter…

应用统计 · 统计学 2014-12-24 Boualem Djehiche , Björn Löfdahl

Two-phase sampling is commonly adopted for reducing cost and improving estimation efficiency. In many two-phase studies, the outcome and some cheap covariates are observed for a large sample in Phase I, and expensive covariates are obtained…

统计方法学 · 统计学 2025-10-14 Qingning Zhou , Kin Yau Wong

In longitudinal data a response variable is measured over time, or under different conditions, for a cohort of individuals. In many situations all intended measurements are not available which results in missing values. If the missing value…

统计方法学 · 统计学 2022-08-10 Ahmed M. Gad , Nesma M. Darwish

Highly robust and efficient estimators for the generalized linear model with a dispersion parameter are proposed. The estimators are based on three steps. In the first step the maximum rank correlation estimator is used to consistently…

统计方法学 · 统计学 2017-03-29 Michael Amiguet , Alfio Marazzi , Marina Valdora , Victor Yohai

We propose a novel strategy for multivariate extreme value index estimation. In applications such as finance, volatility and risk present in the components of a multivariate time series are often driven by the same underlying factors, such…

统计理论 · 数学 2020-03-24 Joni Virta , Niko Lietzén , Lauri Viitasaari , Pauliina Ilmonen

Beta regression models provide an adequate approach for modeling continuous outcomes limited to the interval (0,1). This paper deals with an extension of beta regression models that allow for explanatory variables to be measured with error.…

统计方法学 · 统计学 2013-04-11 Jalmar M. F. Carrasco , Silvia L. P. Ferrari , Reinaldo B. Arellano-Valle

We consider nonlinear mixed effects models including high-dimensional covariates to model individual parameters variability. The objective is to identify relevant covariates among a large set under sparsity assumption and to estimate model…

统计理论 · 数学 2025-08-06 Antoine Caillebotte , Estelle Kuhn , Sarah Lemler

Latent Gaussian models have a rich history in statistics and machine learning, with applications ranging from factor analysis to compressed sensing to time series analysis. The classical method for maximizing the likelihood of these models…

机器学习 · 计算机科学 2023-06-07 Alexander Lin , Bahareh Tolooshams , Yves Atchadé , Demba Ba

We suggest an iterative approach to computing K-step maximum likelihood estimates (MLE) of the parametric components in semiparametric models based on their profile likelihoods. The higher order convergence rate of K-step MLE mainly depends…

统计理论 · 数学 2007-08-23 Guang Cheng

Model error covariances play a central role in the performance of data assimilation methods applied to nonlinear state-space models. However, these covariances are largely unknown in most of the applications. A misspecification of the model…

统计计算 · 统计学 2019-11-06 María Magdalena Lucini , Peter Jan van Leeuwen , Manuel Pulido

This paper introduces a novel model-based clustering approach for clustering time series which present changes in regime. It consists of a mixture of polynomial regressions governed by hidden Markov chains. The underlying hidden process for…

机器学习 · 统计学 2013-12-30 Faicel Chamroukhi , Allou Samé , Patrice Aknin , Gérard Govaert

In the context of multilevel longitudinal data, where sample units are collected in clusters, an important aspect that should be accounted for is the unobserved heterogeneity between sample units and between clusters. For this aim we…

统计理论 · 数学 2012-08-10 F. Bartolucci , M. Lupparelli

Latent Markov (LM) models represent an important tool of analysis of longitudinal data when response variables are affected by time-varying unobserved heterogeneity, which is accounted for by a hidden Markov chain. In order to avoid bias…

统计理论 · 数学 2013-06-10 Francesco Bartolucci , Alessio Farcomeni

Online (also called "recursive" or "adaptive") estimation of fixed model parameters in hidden Markov models is a topic of much interest in times series modelling. In this work, we propose an online parameter estimation algorithm that…

统计计算 · 统计学 2011-02-16 Olivier Cappé

A constrained multivariate linear model is a multivariate linear model with the columns of its coefficient matrix constrained to lie in a known subspace. This class of models includes those typically used to study growth curves and…

统计方法学 · 统计学 2021-01-05 Dennis Cook , Liliana Forzani , Lan Liu

We consider the problem of inferring an unknown number of clusters in replicated multinomial data. Under a model based clustering point of view, this task can be treated by estimating finite mixtures of multinomial distributions with or…

统计方法学 · 统计学 2023-07-07 Panagiotis Papastamoulis

Latent variable models have been playing a central role in psychometrics and related fields. In many modern applications, the inference based on latent variable models involves one or several of the following features: (1) the presence of…

统计方法学 · 统计学 2025-01-08 Siliang Zhang , Yunxiao Chen

High-dimensional variable selection, with many more covariates than observations, is widely documented in standard regression models, but there are still few tools to address it in non-linear mixed-effects models where data are collected…

Missing covariates are not uncommon in capture-recapture studies. When covariate information is missing at random in capture-recapture data, an empirical full likelihood method has been demonstrated to outperform…

统计方法学 · 统计学 2025-07-15 Yang Liu , Yukun Liu , Pengfei Li , Riquan Zhang

In this contribution, we propose a generic online (also sometimes called adaptive or recursive) version of the Expectation-Maximisation (EM) algorithm applicable to latent variable models of independent observations. Compared to the…

统计计算 · 统计学 2017-03-02 Olivier Cappé , Eric Moulines