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Estimation of the four generalized lambda distribution parameters is not straightforward, and available estimators that perform best have large computation times. In this paper, we introduce a simple two-step estimator of the parameters…

Methodology · Statistics 2020-02-26 Dilanka S. Dedduwakumara , Luke A. Prendergast , Robert G. Staudte

We propose a new sequential monitoring scheme for changes in the parameters of a multivariate time series. In contrast to procedures proposed in the literature which compare an estimator from the training sample with an estimator calculated…

Statistics Theory · Mathematics 2020-07-28 Josua Gösmann , Tobias Kley , Holger Dette

Traditional categorical data, often collected in psychological tests and educational assessments, are typically single-layer and gathered only once.This paper considers a more general case, multi-layer categorical data with polytomous…

Machine Learning · Statistics 2024-08-13 Huan Qing

This work considers estimation and forecasting in a multivariate, possibly high-dimensional count time series model constructed from a transformation of a latent Gaussian dynamic factor series. The estimation of the latent model parameters…

Methodology · Statistics 2025-04-07 Younghoon Kim , Marie-Christine Düker , Zachary F. Fisher , Vladas Pipiras

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.…

Methodology · Statistics 2013-04-11 Jalmar M. F. Carrasco , Silvia L. P. Ferrari , Reinaldo B. Arellano-Valle

An extension of the latent Markov Rasch model is described for the analysis of binary longitudinal data with covariates when subjects are collected in clusters, e.g. students clustered in classes. For each subject, the latent process is…

Applications · Statistics 2012-02-21 Francesco Bartolucci , Fulvia Pennoni , Giorgio Vittadini

We propose a two-stage estimation procedure for a copula-based model with semi-competing risks data, where the non-terminal event is subject to dependent censoring by the terminal event, and both events are subject to independent censoring.…

Methodology · Statistics 2024-10-28 Sakie J. Arachchige , Xinyuan Chen , Qian M. Zhou

This work is concerned with the estimation of multidimensional regression and the asymptotic behaviour of the test involved in selecting models. The main problem with such models is that we need to know the covariance matrix of the noise to…

Statistics Theory · Mathematics 2008-02-20 Joseph Rynkiewicz

This paper concerns statistical inference for the components of a high-dimensional regression parameter despite possible endogeneity of each regressor. Given a first-stage linear model for the endogenous regressors and a second-stage linear…

Statistics Theory · Mathematics 2019-11-25 David Gold , Johannes Lederer , Jing Tao

This paper uses Factored Latent Analysis (FLA) to learn a factorized, segmental representation for observations of tracked objects over time. Factored Latent Analysis is latent class analysis in which the observation space is subdivided and…

Machine Learning · Computer Science 2012-07-19 Chris Stauffer

In this paper, we derive a novel method as a generalization over LCEs such as E2C. The method develops the idea of learning a locally linear state space, by adding a multi-step prediction, thus allowing for more explicit control over the…

Machine Learning · Computer Science 2022-09-05 A. Tytarenko

Regression models with both high-dimensional responses and covariates have attracted growing attention. Standard multivariate regression models become inadequate when the response variables depend not only on observed covariates but also on…

Methodology · Statistics 2026-05-01 Jing Ouyang , Chengyu Cui , Yunxiao Chen , Kean Ming Tan , Gongjun Xu

An effective two-stage method for an estimation of parameters of the linear regression is considered. For this purpose we introduce a certain quasi-estimator that, in contrast to usual estimator, produces two alternative estimates. It is…

Statistics Theory · Mathematics 2010-10-06 Anatoly Gordinsky

For a high-dimensional linear model with a finite number of covariates measured with error, we study statistical inference on the parameters associated with the error-prone covariates, and propose a new corrected decorrelated score test and…

Methodology · Statistics 2020-01-29 Mengyan Li , Runze Li , Yanyuan Ma

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…

Methodology · Statistics 2025-12-09 Sze Ming Lee , Yunxiao Chen , Tony Sit

For latent class models where the class weights depend on individual covariates, we derive a simple expression for computing the score vector and a convenient hybrid between the observed and the expected information matrices which is always…

Computation · Statistics 2015-11-13 Antonio Forcina

Statistical estimation and inference for marginal hazard models with varying coefficients for multivariate failure time data are important subjects in survival analysis. A local pseudo-partial likelihood procedure is proposed for estimating…

Statistics Theory · Mathematics 2009-09-29 Jianwen Cai , Jianqing Fan , Haibo Zhou , Yong Zhou

We study the implications of including many covariates in a first-step estimate entering a two-step estimation procedure. We find that a first order bias emerges when the number of \textit{included} covariates is "large" relative to the…

Econometrics · Economics 2018-07-27 Matias D. Cattaneo , Michael Jansson , Xinwei Ma

This article introduces an L-estimator for the semiparametric Tobit model with endogenous regressors. The estimation procedure follows a two-stage approach: the first stage employs least squares, while the second stage utilizes the…

Methodology · Statistics 2025-09-10 Swati Shukla , Subhra Sankar Dhar , Shalabh

Two-step estimators often called upon to fit censored regression models in many areas of science and engineering. Since censoring incurs a bias in the naive least-squares fit, a two-step estimator first estimates the bias and then fits a…

Methodology · Statistics 2014-03-17 Yuekai Sun , Jonathan E. Taylor