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This paper develops asymptotic theory for estimation of parameters in regression models for binomial response time series where serial dependence is present through a latent process. Use of generalized linear model (GLM) estimating…

Statistics Theory · Mathematics 2016-06-06 W. T. M. Dunsmuir , J. Y. He

Theoretical developments on cross validation (CV) have mainly focused on selecting one among a list of finite-dimensional models (e.g., subset or order selection in linear regression) or selecting a smoothing parameter (e.g., bandwidth for…

Statistics Theory · Mathematics 2008-12-18 Yuhong Yang

We present a sample path dependent measure of causal influence between two time series. The proposed measure is a random variable whose expected sum is the directed information. A realization of the proposed measure may be used to identify…

Information Theory · Computer Science 2018-10-15 Gabriel Schamberg , Todd P. Coleman

In observational studies, researchers must select a method to control for confounding. Options include propensity score methods and regression. It remains unclear how dataset characteristics (size, overlap in propensity scores, exposure…

Methodology · Statistics 2022-10-21 J. Wilkinson , M. A. Mamas , E. Kontopantelis

As regression is a widely studied problem, many methods have been proposed to solve it, each of them often requiring setting different hyper-parameters. Therefore, selecting the proper method for a given application may be very difficult…

Machine Learning · Computer Science 2026-03-23 Nassime Mountasir , Baptiste Lafabregue , Bruno Albert , Nicolas Lachiche

In this paper we develop a nonparametric regression method that is simultaneously adaptive over a wide range of function classes for the regression function and robust over a large collection of error distributions, including those that are…

Statistics Theory · Mathematics 2008-10-28 Lawrence D. Brown , T. Tony Cai , Harrison H. Zhou

We propose autoregressive Bayesian semi-parametric models for waiting times between recurrent events. The aim is two-fold: inference on the effect of possibly time-varying covariates on the gap times and clustering of individuals based on…

Applications · Statistics 2016-07-28 Marta Tallarita , Maria De Iorio , Alessandra Guglielmi , James Malone-Lee

The comparison of a parameter in $k$ populations is a classical problem in statistics. Testing for the equality of means or variances are typical examples. Most procedures designed to deal with this problem assume that $k$ is fixed and that…

Rank correlations have found many innovative applications in the last decade. In particular, suitable rank correlations have been used for consistent tests of independence between pairs of random variables. Using ranks is especially…

Statistics Theory · Mathematics 2021-05-04 Hongjian Shi , Marc Hallin , Mathias Drton , Fang Han

The standard linear and logistic regression models assume that the response variables are independent, but share the same linear relationship to their corresponding vectors of covariates. The assumption that the response variables are…

Machine Learning · Computer Science 2019-10-09 Constantinos Daskalakis , Nishanth Dikkala , Ioannis Panageas

Wavelet thresholding generally assumes independent, identically distributed normal errors when estimating functions in a nonparametric regression setting. VisuShrink and SureShrink are just two of the many common thresholding methods based…

Methodology · Statistics 2016-09-23 Kelly McGinnity , Roumen Varbanov , Eric Chicken

We consider the problem of meta-analyzing two-group studies that report the median of the outcome. Often, these studies are excluded from meta-analysis because there are no well-established statistical methods to pool the difference of…

Methodology · Statistics 2022-06-22 Sean McGrath , Hojoon Sohn , Russell Steele , Andrea Benedetti

Linear regression is a frequently used tool in statistics, however, its validity and interpretability relies on strong model assumptions. While robust estimates of the coefficients' covariance extend the validity of hypothesis tests and…

Methodology · Statistics 2015-04-23 Werner Brannath , Martin Scharpenberg

Beta regression has been extensively used by statisticians and practitioners to model bounded continuous data and there is no strong and similar competitor having its main features. A class of normalized inverse-Gaussian (N-IG) process was…

Methodology · Statistics 2020-03-12 Wagner Barreto-Souza , Vinícius D. Mayrink , Alexandre B. Simas

Combining information from multiple samples is often needed in biomedical and economic studies, but the differences between these samples must be appropriately taken into account in the analysis of the combined data. We study estimation for…

Methodology · Statistics 2018-08-14 Heng Shu , Zhiqiang Tan

In a large class of statistical inverse problems it is necessary to suppose that the transformation that is inverted is known. Although, in many applications, it is unrealistic to make this assumption, the problem is often insoluble without…

Statistics Theory · Mathematics 2008-12-18 Aurore Delaigle , Peter Hall , Alexander Meister

We study efficiency improvements in randomized experiments for estimating a vector of potential outcome means using regression adjustment (RA) when there are more than two treatment levels. We show that linear RA which estimates separate…

Econometrics · Economics 2025-01-13 Akanksha Negi , Jeffrey M. Wooldridge

Nonparametric and nonlinear measures of statistical dependence between pairs of random variables are important tools in modern data analysis. In particular the emergence of large data sets can now support the relaxation of linearity…

Methodology · Statistics 2016-05-13 Sarah Filippi , Chris Holmes

In recent years, there is a growing body of causal inference literature focusing on covariate balancing methods. These methods eliminate observed confounding by equalizing covariate moments between the treated and control groups. The…

Methodology · Statistics 2024-06-14 Xialing Wen , Ying Yan

Modal regression has emerged as a flexible alternative to classical regression models when the conditional mean or median are unable to adequately capture the underlying relation between a response and a predictor variable. This approach is…

Methodology · Statistics 2025-04-08 Ana Pérez-González , Tomás R. Cotos-Yáñez , Rosa M. Crujeiras