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Identifying multivariate dependencies in high-dimensional data is an important problem in large-scale inference. This problem has motivated recent advances in mining (partial) correlations, which focus on the challenging ultra-high…

Methodology · Statistics 2025-09-23 Emily Neo , Peter Radchenko , Bala Rajaratnam

While most of the convergence results in the literature on high dimensional covariance matrix are concerned about the accuracy of estimating the covariance matrix (and precision matrix), relatively less is known about the effect of…

Statistics Theory · Mathematics 2013-11-13 Jushan Bai , Yuan Liao

Standard regression adjustment gives inconsistent estimates of causal effects when there are time-varying treatment effects and time-varying covariates. Loosely speaking, the issue is that some covariates are post-treatment variables…

Methodology · Statistics 2024-03-12 Stephen Bates , Edward Kennedy , Robert Tibshirani , Valerie Ventura , Larry Wasserman

This paper considers the problem of multi-sample nonparametric comparison of counting processes with panel count data, which arise naturally when recurrent events are considered. Such data frequently occur in medical follow-up studies and…

Statistics Theory · Mathematics 2009-04-21 N. Balakrishnan , Xingqiu Zhao

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

We use variation of test scores measuring closely related skills to isolate peer effects. The intuition for our identification strategy is that the difference in closely related scores eliminates factors common to the performance in either…

General Economics · Economics 2025-07-03 Guido Kuersteiner , Ingmar Prucha , Ying Zeng

We investigate random graphs on the points of a Poisson process in $d$-dimensional space, which combine scale-free degree distributions and long-range effects. Every Poisson point carries an independent random mark and given marks and…

Probability · Mathematics 2022-05-02 Peter Gracar , Markus Heydenreich , Christian Mönch , Peter Mörters

This study investigates a powerful model, targeted to subjective assessments, based on pairwise comparisons. It provides a proof that a distance-based inconsistency reduction transforms an inconsistent pairwise comparisons (PC) matrix into…

Discrete Mathematics · Computer Science 2015-05-08 Waldemar W. Koczkodaj , Jacek Szybowski

This paper proposes an extension to conventional regression Neural Networks (NNs) for replacing the point predictions they produce with prediction intervals that satisfy a required level of confidence. Our approach follows a novel machine…

Machine Learning · Computer Science 2023-12-18 Harris Papadopoulos , Haris Haralambous

In this work we describe and compare the classic inner product and Pearson correlation coefficient as well as the recently introduced real-valued Jaccard and coincidence indices. Special attention is given to diverse schemes for taking into…

Methodology · Statistics 2021-12-03 Luciano da F. Costa

Not a matter of serious contention, Pearson's correlation coefficient is still the most important statistical association measure. Restricted to just two variables, this measure sometimes doesn't live up to users' needs and expectations.…

Mathematical Finance · Quantitative Finance 2024-02-02 Reza Salimi , Kamran Pakizeh

Causal inference for observational longitudinal studies often requires the accurate estimation of treatment effects on time-to-event outcomes in the presence of time-dependent patient history and time-dependent covariates. To tackle this…

Machine Learning · Statistics 2022-06-17 Jie Zhu , Blanca Gallego

We consider the problem of bandwidth selection by cross-validation from a sequential point of view in a nonparametric regression model. Having in mind that in applications one often aims at estimation, prediction and change detection…

Statistics Theory · Mathematics 2018-03-20 Ansgar Steland

The use of empirical characteristic functions for inference problems, including estimation in some special parametric settings and testing for goodness of fit, has a long history dating back to the 70s (see for example, Feuerverger and…

Statistics Theory · Mathematics 2016-06-20 Richard A. Davis , Muneya Matsui , Thomas Mikosch , Phyllis Wan

This paper studies a class of linear panel models with random coefficients. We do not restrict the joint distribution of the time-invariant unobserved heterogeneity and the covariates. We investigate identification of the average partial…

Econometrics · Economics 2022-11-21 Louise Laage

Graphical models provide a framework for exploration of multivariate dependence patterns. The connection between graph and statistical model is made by identifying the vertices of the graph with the observed variables and translating the…

Statistics Theory · Mathematics 2008-02-08 Mathias Drton , Michael D. Perlman

Scenario-based testing of automated driving functions has become a promising method to reduce time and cost compared to real-world testing. In scenario-based testing automated functions are evaluated in a set of pre-defined scenarios. These…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Christoph Glasmacher , Michael Schuldes , Sleiman El Masri , Lutz Eckstein

The present paper proposes a new treatment effects estimator that is valid when the number of time periods is small, and the parallel trends condition holds conditional on covariates and unobserved heterogeneity in the form of interactive…

Econometrics · Economics 2023-06-16 Nicholas Brown , Kyle Butts , Joakim Westerlund

In the present paper, we discuss the Pearson, Spearman, Kendall correlation coefficients and their statistical analogues. We propose a new correlation coefficient r and its statistical analogue. The coefficient r is based on Kendal's and…

Statistics Theory · Mathematics 2024-05-28 Alexei Stepanov

Instrumental variables have proven useful, in particular within the social sciences and economics, for making inference about the causal effect of a random variable, B, on another random variable, C, in the presence of unobserved…

Methodology · Statistics 2012-06-26 Roland R. Ramsahai