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Statistical hypothesis testing and effect size measurement are routine parts of quantitative research. Advancements in computer processing power have greatly improved the capability of statistical inference through the availability of…

Methodology · Statistics 2024-01-18 Michael J. Crosse , John J. Foxe , Sophie Molholm

We research adaptive maximum likelihood-type estimation for an ergodic diffusion process where the observation is contaminated by noise. This methodology leads to the asymptotic independence of the estimators for the variance of observation…

Statistics Theory · Mathematics 2017-12-05 Shogo H. Nakakita , Masayuki Uchida

We propose a novel method for testing the null hypothesis of no effect of a covariate on the response in the context of functional linear concurrent regression. We establish an equivalent random effects formulation of our functional…

Methodology · Statistics 2019-12-16 Rahul Ghosal , Arnab Maity

We consider here together the inference questions and the change-point problem in Poisson autoregressions (see Tj{\o}stheim, 2012). The conditional mean (or intensity) of the process is involved as a non-linear function of it past values…

Statistics Theory · Mathematics 2013-05-09 Paul Doukhan , William Kengne

Choice models, which capture popular preferences over objects of interest, play a key role in making decisions whose eventual outcome is impacted by human choice behavior. In most scenarios, the choice model, which can effectively be viewed…

Methodology · Statistics 2011-09-22 Vivek F. Farias , Srikanth Jagabathula , Devavrat Shah

Network interference amounts to the treatment status of one unit affecting the potential outcome of other units in the population. Testing for spillover effects in this setting makes the null hypothesis non-sharp. An interesting approach to…

Methodology · Statistics 2025-09-24 Supriya Tiwari , Pallavi Basu

Vast literature on experimental design extends from Fisher and Snedecor to the modern day. When data lies beyond the assumption of univariate normality, nonparametric methods including rank based statistics and permutation tests are…

Statistics Theory · Mathematics 2022-05-30 Adam B Kashlak , Sergii Myroshnychenko , Susanna Spektor

Monotonicity is a key qualitative prediction of a wide array of economic models derived via robust comparative statics. It is therefore important to design effective and practical econometric methods for testing this prediction in empirical…

Statistics Theory · Mathematics 2019-07-10 Denis Chetverikov

This paper considers the problem of testing whether there exists a non-negative solution to a possibly under-determined system of linear equations with known coefficients. This hypothesis testing problem arises naturally in a number of…

Econometrics · Economics 2021-09-16 Zheng Fang , Andres Santos , Azeem M. Shaikh , Alexander Torgovitsky

Developing large language models is expensive and involves making decisions with small experiments, typically by evaluating on large, multi-task evaluation suites. In this work, we analyze specific properties which make a benchmark more…

Computation and Language · Computer Science 2025-08-19 David Heineman , Valentin Hofmann , Ian Magnusson , Yuling Gu , Noah A. Smith , Hannaneh Hajishirzi , Kyle Lo , Jesse Dodge

Models that learn spurious correlations from training data often fail when deployed in new environments. While many methods aim to learn invariant representations to address this, they often underperform standard empirical risk minimization…

Machine Learning · Computer Science 2025-11-11 Ruqi Bai , Yao Ji , Zeyu Zhou , David I. Inouye

Truncated linear regression is a classical challenge in Statistics, wherein a label, $y = w^T x + \varepsilon$, and its corresponding feature vector, $x \in \mathbb{R}^k$, are only observed if the label falls in some subset $S \subseteq…

Methodology · Statistics 2022-08-26 Constantinos Daskalakis , Patroklos Stefanou , Rui Yao , Manolis Zampetakis

Nonparametric estimation of a mixing distribution based on data coming from a mixture model is a challenging problem. Beyond estimation, there is interest in uncertainty quantification, e.g., confidence intervals for features of the mixing…

Methodology · Statistics 2019-06-14 Vaidehi Dixit , Ryan Martin

There is growing evidence that converting targets to soft targets in supervised learning can provide considerable gains in performance. Much of this work has considered classification, converting hard zero-one values to soft labels---such…

Machine Learning · Statistics 2018-06-13 Ehsan Imani , Martha White

This paper considers the problem of robust adaptive efficient estimating of a periodic function in a continuous time regression model with the dependent noises given by a general square integrable semimartingale with a conditionally…

Statistics Theory · Mathematics 2019-09-24 Evgeny Pchelintsev , Serguei Pergamenshchikov

Learning with label dependent label noise has been extensively explored in both theory and practice; however, dealing with instance (i.e., feature) and label dependent label noise continues to be a challenging task. The difficulty arises…

Machine Learning · Statistics 2023-06-07 Hyungki Im , Paul Grigas

Although evidence integration to the boundary model has successfully explained a wide range of behavioral and neural data in decision making under uncertainty, how animals learn and optimize the boundary remains unresolved. Here, we propose…

Neural and Evolutionary Computing · Computer Science 2024-08-13 Jamal Esmaily , Rani Moran , Yasser Roudi , Bahador Bahrami

The explanations of large language models have recently been shown to be sensitive to the randomness used for their training, creating a need to characterize this sensitivity. In this paper, we propose a characterization that questions the…

Computation and Language · Computer Science 2024-03-18 Jeremie Bogaert , Francois-Xavier Standaert

Generalized linear models are often misspecified due to overdispersion, heteroscedasticity and ignored nuisance variables. Existing quasi-likelihood methods for testing in misspecified models often do not provide satisfactory type-I error…

Methodology · Statistics 2020-05-13 Jesse Hemerik , Jelle J Goeman , Livio Finos

Negative binomial regression is commonly employed to analyze overdispersed count data. With small to moderate sample sizes, the maximum likelihood estimator of the dispersion parameter may be subject to a significant bias, that in turn…

Methodology · Statistics 2020-11-06 Euloge Clovis Kenne Pagui , Alessandra Salvan , Nicola Sartori