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In this paper, we focus on the influences of the condition number of the regression matrix upon the comparison between two hyper-parameter estimation methods: the empirical Bayes (EB) and the Stein's unbiased estimator with respect to the…

Statistics Theory · Mathematics 2020-04-22 Yue Ju , Tianshi Chen , Biqiang Mu , Lennart Ljung

This paper presents research findings on handling faulty measurements (i.e., outliers) of global navigation satellite systems (GNSS) for vehicle localization under adverse signal conditions in field applications, where raw GNSS data are…

Robotics · Computer Science 2025-10-16 Haoming Zhang

The performance of near-field sensing (NISE) in a legacy wideband multiple-input multiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM) communication system is analyzed. The maximum likelihood estimates (MLE) for the…

Information Theory · Computer Science 2025-06-13 Zhaolin Wang , Xidong Mu , Yuanwei Liu

This article addresses the issue of estimating observation parameters (response and error parameters) in inverse problems. The focus is on cases where regularization is introduced in a Bayesian framework and the prior is modeled by a…

Machine Learning · Statistics 2026-02-13 Jean-François Giovannelli

A~machine learning framework is developed to estimate ocean-wave conditions. By supervised training of machine learning models on many thousands of iterations of a physics-based wave model, accurate representations of significant wave…

Atmospheric and Oceanic Physics · Physics 2017-09-27 Scott C. James , Yushan Zhang , Fearghal O'Donncha

A debate exists over whether tropical troposphere temperature trends in climate models are inconsistent with observations (Karl et al. 2006, IPCC (2007), Douglass et al 2007, Santer et al 2008). Most recently, Santer et al (2008, herein…

Applications · Statistics 2009-05-05 Stephen McIntyre , Ross McKitrick

Mathematical models of real life phenomena are highly nonlinear involving multiple parameters and often exhibiting complex dynamics. Experimental data sets are typically small and noisy, rendering estimation of parameters from such data…

Chaotic Dynamics · Physics 2017-05-11 Abhirup Ghosh , Samit Bhattacharyya , Somdatta Sinha , Amit Apte

We pose the question of how much information on the atmospheric parameters of late-type stars can be retrieved purely from colors using standard photometric systems. We carried out numerical experiments using stellar fluxes from model…

Solar and Stellar Astrophysics · Physics 2016-11-16 C. Allende Prieto

Subsampling is a computationally efficient and scalable method to draw inference in large data settings based on a subset of the data rather than needing to consider the whole dataset. When employing subsampling techniques, a crucial…

Methodology · Statistics 2025-10-08 Amalan Mahendran , Helen Thompson , James M. McGree

Maximum likelihood estimation (MLE) and heuristic predictive estimation (HPE) are two widely used approaches in industrial uncertainty analysis. We review them from the point of view of decision theory, using Bayesian inference as a gold…

Applications · Statistics 2010-09-23 Merlin Keller , Eric Parent , Alberto Pasanisi

To ensure trust in AI models, it is becoming increasingly apparent that evaluation of models must be extended beyond traditional performance metrics, like accuracy, to other dimensions, such as fairness, explainability, adversarial…

Machine Learning · Computer Science 2021-10-01 Moninder Singh , Gevorg Ghalachyan , Kush R. Varshney , Reginald E. Bryant

The System Usability Scale (SUS) is a short, survey-based approach used to determine the usability of a system from an end user perspective once a prototype is available for assessment. Individual scores are gathered using a 10-question…

Methodology · Statistics 2021-01-26 Nicholas Clark , Matthew Dabkowski , Patrick Driscoll , Dereck Kennedy , Ian Kloo , Heidy Shi

We propose the use of a simple intuitive principle for measuring algorithmic classification bias: the significance of the differences in a classifier's error rates across the various demographics is inversely commensurate with the sample…

Methodology · Statistics 2026-01-08 Ioannis Ivrissimtzis , Shauna Concannon , Matthew Houliston , Graham Roberts

Remote sensors are becoming the standard for observing and recording ecological data in the field. Such sensors can record data at fine temporal resolutions, and they can operate under extreme conditions prohibitive to human access.…

Artificial Intelligence · Computer Science 2012-06-26 Ethan W. Dereszynski , Thomas G. Dietterich

We generalize the na\"ive estimator of a Poisson regression model with measurement errors as discussed in Kukush et al. [1]. The explanatory variable is not always normally distributed as they assume. In this study, we assume that the…

Statistics Theory · Mathematics 2022-05-12 Kentarou Wada , Takeshi Kurosawa

Support size estimation and the related problem of unseen species estimation have wide applications in ecology and database analysis. Perhaps the most used support size estimator is the Chao estimator. Despite its wide spread use, little is…

Statistics Theory · Mathematics 2020-01-14 Nived Rajaraman , Prafulla Chandra , Andrew Thangaraj , Ananda Theertha Suresh

Two canonical problems in geostatistics are estimating the parameters in a specified family of stochastic process models and predicting the process at new locations. A number of asymptotic results addressing these problems over a fixed…

Statistics Theory · Mathematics 2012-10-11 Cari Kaufman , Benjamin Shaby

Robust estimation is an important and timely research subject. In this paper, we investigate performance lower bounds on the mean-square-error (MSE) of any estimator for the Bayesian linear model, corrupted by a noise distributed according…

Methodology · Statistics 2017-07-12 Virginie Ollier , Rémy Boyer , Mohammed Nabil El Korso , Pascal Larzabal

Statistically simulated time series of wave parameters are required for many coastal and offshore engineering applications, often at the resolution of approximately one hour. Various studies have relied on autoregressive moving-average…

Applications · Statistics 2018-10-31 Wiebke S. Jäger , Thomas Nagler , Claudia Czado , Robert T. McCall

The subspace-based techniques are widely utilized in various scientific fields, and they need accurate estimation of the signal subspace dimension. The classic RMT estimator for model order estimation based on random matrix theory assumes…

Information Theory · Computer Science 2025-05-06 Huiyue Yi , Wuxiong Zhang , Hui Xu
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