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Estimation of autocorrelations and spectral densities is of fundamental importance in many fields of science, from identifying pulsar signals in astronomy to measuring heart beats in medicine. In circumstances where one is interested in…

Methodology · Statistics 2013-01-22 C. H. Fleming , J. M. Calabrese

Model-based small area estimation is frequently used in conjunction with survey data in order to establish estimates for under-sampled or unsampled geographies. These models can be specified at either the area-level, or the unit-level, but…

Methodology · Statistics 2020-01-14 Paul A. Parker , Ryan Janicki , Scott H. Holan

In safety-critical applications data-driven models must not only be accurate but also provide reliable uncertainty estimates. This property, commonly referred to as calibration, is essential for risk-aware decision-making. In regression a…

Machine Learning · Computer Science 2026-04-23 Jelke Wibbeke , Nico Schönfisch , Sebastian Rohjans , Andreas Rauh

Estimating the effect of a treatment on a given outcome, conditioned on a vector of covariates, is central in many applications. However, learning the impact of a treatment on a continuous temporal response, when the covariates suffer…

Machine Learning · Computer Science 2019-06-11 Guangyi Zhang , Reza Ashrafi , Anne Juuti , Kirsi Pietiläinen , Pekka Marttinen

Estimating the data uncertainty in regression tasks is often done by learning a quantile function or a prediction interval of the true label conditioned on the input. It is frequently observed that quantile regression -- a vanilla algorithm…

Machine Learning · Computer Science 2021-06-11 Yu Bai , Song Mei , Huan Wang , Caiming Xiong

The estimation of risk measures recently gained a lot of attention, partly because of the backtesting issues of expected shortfall related to elicitability. In this work we shed a new and fundamental light on optimal estimation procedures…

Risk Management · Quantitative Finance 2017-08-25 Marcin Pitera , Thorsten Schmidt

Wearable devices collect time-varying biobehavioral data, offering opportunities to investigate how behaviors influence health outcomes. However, these data often contain measurement error and excess zeros (due to nonwear, sedentary…

Methodology · Statistics 2026-02-06 Caihong Qin , Lan Xue , Ufuk Beyaztas , Roger S. Zoh , Mark Benden , Jeff Goldsmith , Carmen D. Tekwe

Errors in variables (Deming) regression of measurements spanning a wide range of values requires appropriate weighting to reflect nonconstant variance. Precision profile models, mathematical relationships between measurement variance and…

Computation · Statistics 2025-08-06 Douglas M Hawkins , Jessica J Kraker

Analysis of survival data with biased samples caused by left-truncation or length-biased sampling has received extensive interest. Many inference methods have been developed for various survival models. These methods, however, break down…

Statistics Theory · Mathematics 2018-12-31 Li-Pang Chen

Fitting a simplifying model with several parameters to real data of complex objects is a highly nontrivial task, but enables the possibility to get insights into the objects physics. Here, we present a method to infer the parameters of the…

Data Analysis, Statistics and Probability · Physics 2018-12-21 Johannes Oberpriller , T. A. Enßlin

Diffusion models have demonstrated impressive generative capabilities, but their \textit{exposure bias} problem, described as the input mismatch between training and sampling, lacks in-depth exploration. In this paper, we systematically…

Machine Learning · Computer Science 2024-04-12 Mang Ning , Mingxiao Li , Jianlin Su , Albert Ali Salah , Itir Onal Ertugrul

Understanding the pathways through which diet affects human metabolism is a central task in nutritional epidemiology. This article proposes novel methodology to identify food items associated with blood metabolites in two cohorts of…

Assessment of dietary intake has primarily relied on self-report instruments, which are prone to measurement errors. Dietary assessment methods have increasingly incorporated technological advances particularly mobile, image based…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Gautham Vinod , Zeman Shao , Fengqing Zhu

Accurate camera calibration is a precondition for many computer vision applications. Calibration errors, such as wrong model assumptions or imprecise parameter estimation, can deteriorate a system's overall performance, making the reliable…

Computer Vision and Pattern Recognition · Computer Science 2021-07-29 Annika Hagemann , Moritz Knorr , Holger Janssen , Christoph Stiller

We study the impact of systematic errors on planned weak lensing surveys and compute the requirements on their contributions so that they are not a dominant source of the cosmological parameter error budget. The generic types of error we…

Astrophysics · Physics 2010-04-06 Dragan Huterer , Masahiro Takada , Gary Bernstein , Bhuvnesh Jain

Often in surveys, key items are subject to measurement errors. Given just the data, it can be difficult to determine the distribution of this error process, and hence to obtain accurate inferences that involve the error-prone variables. In…

Methodology · Statistics 2016-10-04 Tracy Schifeling , Jerome P. Reiter , Maria DeYoreo

I present a frequentist method for quantifying uncertainty when correcting correlations for attenuation due to measurement error. The method is conservative but has far better coverage properties than the methods currently used when sample…

Methodology · Statistics 2019-11-06 Jonas Moss

Corrected confidence intervals are developed for the mean of the second component of a bivariate normal process when the first component is being monitored sequentially. This is accomplished by constructing a first approximation to a…

Statistics Theory · Mathematics 2007-06-13 R. C. Weng , D. S. Coad

This paper offers a qualitative insight into the convergence of Bayesian parameter inference in a setup which mimics the modeling of the spread of a disease with associated disease measurements. Specifically, we are interested in the…

Statistics Theory · Mathematics 2022-12-08 Samuel Bronstein , Stefan Engblom , Robin Marin

Estimating the causal effect of an exposure on an outcome is an important task in many economical and biological studies. Mendelian randomization, in particular, uses genetic variants as instruments to estimate causal effects in…

Methodology · Statistics 2017-06-06 Sai Li
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