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Soft-thresholding is a sparse modeling method that is typically applied to wavelet denoising in statistical signal processing and analysis. It has a single parameter that controls a threshold level on wavelet coefficients and,…

Methodology · Statistics 2016-02-01 Katsuyuki Hagiwara

The roughness of fracture surfaces has been shown to exhibit self-affne scale invariance for a wide variety of materials and loading conditions. The range of scales over which this regime extends remains a matter of debate, together with…

Statistical Mechanics · Physics 2015-05-14 F. Lechenault , G. Pallares , M. George , C. Rountree , E. Bouchaud , M. Ciccotti

A new weak measurement procedure is introduced for finite samples which yields accurate weak values that are outside the range of eigenvalues and which do not require an exponentially rare ensemble. This procedure provides a unique…

Quantum Physics · Physics 2009-11-13 Jeff Tollaksen

Terrain surface roughness, often described abstractly, poses challenges in quantitative characterisation with various descriptors found in the literature. This study compares five commonly used roughness descriptors, exploring correlations…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Lei Fan , Yang Zhao

Estimation of a treatment effect by a regression discontinuity design faces a severe challenge when the running variable contains measurement errors since the errors smoothen the discontinuity on which the identification depends. The…

Methodology · Statistics 2019-09-24 Kota Mori

In diagnostic test accuracy meta-analysis (DTA-MA), standard inference methods using bivariate random-effects models for jointly synthesizing sensitivity and specificity can be sensitive to outlying studies and may yield misleading…

Methodology · Statistics 2026-05-01 Kotaro Sasaki , Hisashi Noma , Theodoros Evrenoglou

Boundary layer flow over a realistic porous wall might contain both the effects of wall-permeability and wall-roughness. These two effects are typically examined in the context of a rough-wall flow, i.e., by defining a ``roughness'' length…

Fluid Dynamics · Physics 2023-07-26 D. D. Wangsawijaya , P. Jaiswal , B. Ganapathisubramani

We consider the origin of noise and distortions in power spectral estimates of randomly sampled data, specifically velocity data measured with a burst-mode laser Doppler anemometer. The analysis guides us to new ways of reducing noise and…

Fluid Dynamics · Physics 2019-06-14 Preben Buchhave , Clara M. Velte

Noise parameters are a set of four measurable quantities which determine the noise performance of a radio-frequency device under test. The noise parameters of a 2-port device can be extracted by connecting a set of 4 or more source…

Instrumentation and Methods for Astrophysics · Physics 2023-03-22 Danny C. Price , Cheuk-Yu Edward Tong , Adrian T. Sutinjo , Lincoln J. Greenhill , Nipanjana Patra

The log-normal distribution is one of the most common distributions used for modeling skewed and positive data. It frequently arises in many disciplines of science, specially in the biological and medical sciences. The statistical analysis…

Methodology · Statistics 2020-01-01 Ayanendranath Basu , Abhijit Mandal , Nirian Martin , Leandro Pardo

In this paper, we consider the concept of the residual inaccuracy measure and extend it to its weighted version based on extropy. Properties of this measure are studied and the discrimination principle is applied in the class of…

Methodology · Statistics 2025-02-03 M. Hashempour , M. R. Kazemi

We investigate rough-wall turbulent flows through direct numerical simulations of flow over three-dimensional transitionally rough sinusoidal surfaces. The roughness Reynolds number is fixed at $k^+=10$, where $k$ is the sinusoidal…

Fluid Dynamics · Physics 2020-12-09 M. MacDonald , L. Chan , D. Chung , N. Hutchins , A. Ooi

We investigate the discrepancy principle for choosing smoothing parameters for kernel density estimation. The method is based on the distance between the empirical and estimated distribution functions. We prove some new positive and…

Statistics Theory · Mathematics 2015-03-19 Thoralf Mildenberger

We present a sparse convex-relaxation framework for estimating effective local scaling exponents from short boundary-anchored velocity-increment profiles ($N\approx40$). The detector solves an $\ell_1$-regularized regression in a mixed…

Fluid Dynamics · Physics 2026-04-07 D Yang Eng

In nonstandard testing environments, researchers often derive ad hoc tests with correct (asymptotic) size, but their optimality properties are typically unknown a priori and difficult to assess. This paper develops a numerical framework for…

Econometrics · Economics 2025-12-24 Philipp Ketz , Adam McCloskey , Jan Scherer

A wavelet-based changepoint method is proposed that determines when the variability of the noise in a sequence of functional profiles goes out-of-control from a known, fixed value. The functional portion of the profiles are allowed to come…

Methodology · Statistics 2015-08-20 Vladimir J. Geneus , Eric Chicken , Jordan Cuevas , Joseph J. Pignatiello

Scan line levelling, a ubiquitous and often necessary step in AFM data processing, can cause a severe bias on measured roughness parameters such as mean square roughness or correlation length. Although bias estimates have been formulated,…

Data Analysis, Statistics and Probability · Physics 2024-06-06 David Nečas

This work assesses both empirically and theoretically, using the performance estimation methodology, how robust different first-order optimization methods are when subject to relative inexactness in their gradient computations. Relative…

Optimization and Control · Mathematics 2025-07-02 Pierre Vernimmen , François Glineur

Many real-life data sets can be analyzed using Linear Mixed Models (LMMs). Since these are ordinarily based on normality assumptions, under small deviations from the model the inference can be highly unstable when the associated parameters…

Methodology · Statistics 2024-02-06 Giovanni Saraceno , Abhik Ghosh , Ayanendranath Basu , Claudio Agostinelli

Wavelet estimators for a probability density f enjoy many good properties, however they are not "shape-preserving" in the sense that the final estimate may not be non-negative or integrate to unity. A solution to negativity issues may be to…

Methodology · Statistics 2017-08-29 Carlos Aya Moreno , Gery Geenens , Spiridon Penev