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We derive the asymptotic theory of Bai (2009)'s interactive fixed effects estimator for unbalanced panels in which the source of attrition is conditionally random. For inference, we propose a method of alternating projections algorithm…

Econometrics · Economics 2026-05-19 Daniel Czarnowske , Amrei Stammann

This paper investigates a partially linear spatial autoregressive panel data model that incorporates fixed effects, constant and time-varying regression coefficients, and a time-varying spatial lag coefficient. A two-stage least squares…

Statistics Theory · Mathematics 2024-10-15 Lingling Tian , Chuanhua Wei , Mixia Wu

This paper is concerned with nonparametric estimation of the weighted stochastic block model. We first show that the model implies a set of multilinear restrictions on the joint distribution of edge weights of certain subgraphs involving…

Statistics Theory · Mathematics 2022-03-10 Koen Jochmans

We explicitly quantify the empirically observed phenomenon that estimation under a stochastic block model (SBM) is hard if the model contains classes that are similar. More precisely, we consider estimation of certain functionals of random…

Statistics Theory · Mathematics 2022-04-27 Ismaël Castillo , Peter Orbanz

Uncertainty quantification is essential in decision-making, especially when joint distributions of random variables are involved. While conformal prediction provides distribution-free prediction sets with valid coverage guarantees, it…

Machine Learning · Computer Science 2025-01-03 Rui Luo , Zhixin Zhou

Covariance parameter estimation of Gaussian processes is analyzed in an asymptotic framework. The spatial sampling is a randomly perturbed regular grid and its deviation from the perfect regular grid is controlled by a single scalar…

Statistics Theory · Mathematics 2014-12-09 François Bachoc

In the analysis of cluster data, the regression coefficients are frequently assumed to be the same across all clusters. This hampers the ability to study the varying impacts of factors on each cluster. In this paper, a semiparametric model…

Statistics Theory · Mathematics 2009-08-25 Wenyang Zhang , Jianqing Fan , Yan Sun

To conduct Bayesian inference with large data sets, it is often convenient or necessary to distribute the data across multiple machines. We consider a likelihood function expressed as a product of terms, each associated with a subset of the…

Computation · Statistics 2020-04-09 Lewis J. Rendell , Adam M. Johansen , Anthony Lee , Nick Whiteley

We propose improved standard errors and an asymptotic distribution theory for two-way clustered panels. Our proposed estimator and theory allow for arbitrary serial dependence in the common time effects, which is excluded by existing…

Econometrics · Economics 2023-12-15 Harold D Chiang , Bruce E Hansen , Yuya Sasaki

We consider a class of spatio-temporal models which extend popular econometric spatial autoregressive panel data models by allowing the scalar coefficients for each location (or panel) different from each other. To overcome the innate…

Methodology · Statistics 2016-05-17 Baojun Dou , Maria Lucia Parrella , Qiwei Yao

This paper introduces a straightforward sieve-based approach for estimating and conducting inference on regression parameters in panel data models with interactive fixed effects. The method's key assumption is that factor loadings can be…

Econometrics · Economics 2025-02-26 Georg Keilbar , Juan M. Rodriguez-Poo , Alexandra Soberon , Weining Wang

The paper discusses identification conditions, representations and relations of generalized least squares estimators of regression parameters in multivariate linear regression models such as seemingly unrelated and fixed effect panel…

Statistics Theory · Mathematics 2020-11-23 Harry Haupt

With the advent of structured data in the form of social networks, genetic circuits and protein interaction networks, statistical analysis of networks has gained popularity over recent years. Stochastic block model constitutes a classical…

Statistics Theory · Mathematics 2015-05-27 Debdeep Pati , Anirban Bhattacharya

Heterogeneous panel data models that allow the coefficients to vary across individuals and/or change over time have received increasingly more attention in statistics and econometrics. This paper proposes a two-dimensional heterogeneous…

Econometrics · Economics 2021-10-22 Wei Wang , Xiaodong Yan , Yanyan Ren , Zhijie Xiao

Inference for the stochastic blockmodel is currently of burgeoning interest in the statistical community, as well as in various application domains as diverse as social networks, citation networks, brain connectivity networks…

Methodology · Statistics 2016-02-10 Shakira Suwan , Dominic S. Lee , Runze Tang , Daniel L. Sussman , Minh Tang , Carey E. Priebe

We present novel Monte Carlo (MC) and multilevel Monte Carlo (MLMC) methods to determine the unbiased covariance of random variables using h-statistics. The advantage of this procedure lies in the unbiased construction of the estimator's…

Statistics Theory · Mathematics 2024-05-09 Sharana Kumar Shivanand

We study the asymptotic behavior of piecewise constant least squares regression estimates, when the number of partitions of the estimate is penalized. We show that the estimator is consistent in the relevant metric if the signal is in…

Statistics Theory · Mathematics 2009-09-29 Leif Boysen , Volkmar Liebscher , Axel Munk , Olaf Wittich

A factor copula model is proposed in which factors are either simulable or estimable from exogenous information. Point estimation and inference are based on a simulated methods of moments (SMM) approach with non-overlapping simulation…

Econometrics · Economics 2022-12-02 Alexander Mayer , Dominik Wied

Traditional variable selection methods could fail to be sign consistent when irrepresentable conditions are violated. This is especially critical in high-dimensional settings when the number of predictors exceeds the sample size. In this…

Methodology · Statistics 2022-04-26 Fei Xue , Annie Qu

We consider a stochastic process model with time trend and measurement error. We establish consistency and derive the limiting distributions of the maximum likelihood (ML) estimators of the covariance function parameters under a general…

Statistics Theory · Mathematics 2016-09-29 Chih-Hao Chang , Hsin-Cheng Huang , Ching-Kang Ing