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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…

Methodology · Statistics 2023-07-21 Roberto Di Mari , Zsuzsa Bakk , Jennifer Oser , Jouni Kuha

We consider likelihood-based two-step estimation of latent variable models, in which just the measurement model is estimated in the first step and the measurement parameters are then fixed at their estimated values in the second step where…

Methodology · Statistics 2025-08-26 Jouni Kuha , Zsuzsa Bakk

We propose a modified version of the three-step estimation method for the latent class model with covariates, which may be used to estimate latent Markov models for longitudinal data. The three-step estimation approach we propose is based…

Methodology · Statistics 2014-02-06 Francesco Bartolucci , Giorgio E. Montanari , Silvia Pandolfi

This contribution presents a guide to the R package multilevLCA, which offers a complete and innovative set of technical tools for the latent class analysis of single-level and multilevel categorical data. We describe the available model…

Computation · Statistics 2024-04-11 Johan Lyrvall , Roberto Di Mari , Zsuzsa Bakk , Jennifer Oser , Jouni Kuha

We propose a general procedure for estimating the variance-covariance matrix of two-step estimates of structural parameters in latent variable models. The method is partially simulation-based, in that it includes drawing simulated values of…

Methodology · Statistics 2025-07-23 Roberto Di Mari , Jouni Kuha

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…

Methodology · Statistics 2025-10-14 Qingning Zhou , Kin Yau Wong

Latent Class Analysis (LCA) is widely used to identify unobserved subgroups in social and behavioural sciences. A long-standing challenge for LCA is the interpretability of the latent classes, due to the high complexity of the estimated…

Methodology · Statistics 2026-05-20 Yuxuan Xu , Lea Kaufmann , Yunxiao Chen , Maria Kateri , Irini Moustaki

Subgroup analysis evaluates treatment effects across multiple sub-populations. When subgroups are defined by latent memberships inferred from imperfect measurements, the analysis typically involves two inter-connected models, a latent class…

Methodology · Statistics 2026-01-05 Yuanhui Luo , Xinzhou Guo , Yuqi Gu

This paper provides an alternative to penalized estimators for estimation and vari- able selection in high dimensional linear regression models with measurement error or missing covariates. We propose estimation via bias corrected least…

Methodology · Statistics 2016-05-11 Abhishek Kaul , Hira L. Koul , Akshita Chawla , Soumendra N. Lahiri

We consider the problem of the construction of the estimator-process of the unknown finite-dimensional parameter in the case of the observations of nonlinear autoregressive process. The estimation is done in two or three steps. First we…

Statistics Theory · Mathematics 2016-02-01 Yury A. Kutoyants , Anastasia Motrunich

Applications of structural equation models (SEMs) are often restricted to linear associations between variables. Maximum likelihood (ML) estimation in non-linear models may be complex and require numerical integration. Furthermore, ML…

Methodology · Statistics 2019-03-15 Klaus Kähler Holst , Esben Budtz-Jørgensen

The current research has two aims. First, to demonstrate the utility conditional nonparametric multilevel latent class analysis (NP-MLCA) for multi-site program evaluation using an empirical dataset. Second, to investigate how…

Latent class analysis (LCA) is a useful tool to investigate the heterogeneity of a disease population with time-to-event data. We propose a new method based on non-parametric maximum likelihood estimator (NPMLE), which facilitates…

Methodology · Statistics 2022-02-03 Teng Fei , John Hanfelt , Limin Peng

We introduce two types of estimators of the finite-dimensional parameters in the case of observations of inhomogeneous Poisson processes. These are the estimators of the method of moments and multi-step MLE. It is shown that the estimators…

Statistics Theory · Mathematics 2018-06-19 Ali S. Dabye , Alix A. Gounoung , Yury A. Kutoyants

We consider the problem of learning error covariance matrices for robotic state estimation. The convergence of a state estimator to the correct belief over the robot state is dependent on the proper tuning of noise models. During inference,…

Robotics · Computer Science 2023-09-19 Mohamad Qadri , Zachary Manchester , Michael Kaess

We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

Methodology · Statistics 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

We study regression discontinuity designs in which many predetermined covariates, possibly much more than the number of observations, can be used to increase the precision of treatment effect estimates. We consider a two-step estimator…

Econometrics · Economics 2022-05-06 Alexander Kreiß , Christoph Rothe

In high-dimensional classification problems, a commonly used approach is to first project the high-dimensional features into a lower dimensional space, and base the classification on the resulting lower dimensional projections. In this…

Statistics Theory · Mathematics 2025-08-05 Xin Bing , Marten Wegkamp

This paper proposes a class of estimators for population correlation coefficient when information about the population mean and population variance of one of the variables is not available but information about these parameters of another…

General Mathematics · Mathematics 2007-05-23 M. Khoshnevisan , F. Kaymarm , H. P. Singh , Rajesh Singh , Florentin Smarandache

Unlabeled data is often used to learn representations which can be used to supplement baseline features in a supervised learner. For example, for text applications where the words lie in a very high dimensional space (the size of the…

Computation and Language · Computer Science 2012-07-03 Paramveer Dhillon , Jordan Rodu , Dean Foster , Lyle Ungar
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