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Two-phase outcome dependent sampling (ODS) is widely used in many fields, especially when certain covariates are expensive and/or difficult to measure. For two-phase ODS, the conditional maximum likelihood (CML) method is very attractive…

Methodology · Statistics 2022-12-21 Menglu Che , Peisong Han , Jerald F. Lawless

We propose a two-step estimator for multilevel latent class analysis (LCA) with covariates. The measurement model for observed items is estimated in its first step, and in the second step covariates are added in the model, keeping the…

Methodology · Statistics 2025-01-08 Roberto Di Mari , Zsuzsa Bakk , Jennifer Oser , Jouni Kuha

Two-phase sampling designs are frequently employed in epidemiological studies and large-scale health surveys. In such designs, certain variables are exclusively collected within a second-phase random subsample of the initial first-phase…

Methodology · Statistics 2024-03-25 Lingxiao Wang

Data collection costs can vary widely across variables in data science tasks. Two-phase designs can be employed to save data collection costs. This paper considers the two-phase studies where inexpensive variables are collected for all…

Methodology · Statistics 2025-12-04 Ruoyu Wang , Qihua Wang , Wang Miao

We study the problem of estimating the effect function for a continuous treatment, which maps each treatment value to a population-averaged outcome. A central challenge in this setting is confounding: treatment assignment often depends on…

Methodology · Statistics 2026-05-29 Seok-Jin Kim , Kaizheng Wang

Two-phase design can reduce the cost of epidemiological studies by limiting the ascertainment of expensive covariates or/and exposures to an efficiently selected subset (phase-II) of a larger (phase-I) study. Efficient analysis of the…

Methodology · Statistics 2019-11-04 Prosenjit Kundu , Nilanjan Chatterjee

We present a simulation-based inference approach for two-stage estimators, focusing on extremum estimators in the second stage. We accommodate a broad range of first-stage estimators, including extremum estimators, high-dimensional…

Econometrics · Economics 2024-11-08 Aristide Houndetoungan , Abdoul Haki Maoude

With the growing availability of large-scale biomedical data, it is often time-consuming or infeasible to directly perform traditional statistical analysis with relatively limited computing resources at hand. We propose a fast subsampling…

Methodology · Statistics 2023-05-18 Haixiang Zhang , Lulu Zuo , HaiYing Wang , Liuquan Sun

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

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…

Methodology · Statistics 2025-07-15 Yang Liu , Yukun Liu , Pengfei Li , Riquan Zhang

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

Nonresponse after probability sampling is a universal challenge in survey sampling, often necessitating adjustments to mitigate sampling and selection bias simultaneously. This study explored the removal of bias and effective utilization of…

Methodology · Statistics 2025-11-13 Kosuke Morikawa , Kenji Beppu , Wataru Aida

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

In many surveys inexpensive auxiliary variables are available that can help us to make more precise estimation about the main variable. Using auxiliary variable has been extended by regression estimators for rare and cluster populations. In…

Statistics Theory · Mathematics 2018-03-14 Bardia Panahbehagh , Afshin Parvardeh , Babak Mohammadi

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 paper considers linear panel data models where the dependence of the regressors and the unobservables is modelled through a factor structure. The asymptotic setting is such that the number of time periods and the sample size both go to…

Statistics Theory · Mathematics 2020-11-25 Jad Beyhum , Eric Gautier

In response to the U.S.\ Food and Drug Administration's (FDA) Project Optimus, a paradigm shift is underway in the design of early-phase oncology trials. To accelerate drug development, seamless Phase I/II designs have gained increasing…

Methodology · Statistics 2025-11-04 Kana Makino , Natsumi Makigusa , Masahiro Kojima

Measurement error is a common challenge for causal inference studies using electronic health record (EHR) data, where clinical outcomes and treatments are frequently mismeasured. Researchers often address measurement error by conducting…

Two-phase sampling offers a cost-effective way to validate error-prone covariate measurements in biomedical databases. Inexpensive or easy-to-obtain information is collected for the entire study in Phase I. Then, a subset of patients…

Methodology · Statistics 2026-05-21 Sarah C. Lotspeich , Cole Manschot

We study a high-dimensional regression setting under the assumption of known covariate distribution. We aim at estimating the amount of explained variation in the response by the best linear function of the covariates (the signal level). In…

Statistics Theory · Mathematics 2022-05-12 Ilan Livne , David Azriel , Yair Goldberg
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