Concept
Order statistic
Related publications (41)
Euclid preparation: XXVIII. Forecasts for ten different higher-order weak lensing statistics
Frédéric Courbin, Gianluca Castignani, Jean-Luc Starck, Austin Chandler Peel, Maurizio Martinelli, Yi Wang, Richard Massey, Fabio Finelli, Marcello Farina
Recent cosmic shear studies have shown that higher-order statistics (HOS) developed by independent teams now outperform standard two-point estimators in terms of statistical precision thanks to their sensitivity to the non-Gaussian features of large-scale ...
EDP SCIENCES S A2023Peak Value-at-Risk Estimation for Stochastic Differential Equations using Occupation Measures
This paper proposes an algorithm to upper-bound maximal quantile statistics of a state function over the course of a Stochastic Differential Equation (SDE) system execution. This chance-peak problem is posed as a nonconvex program aiming to maximize the Va ...
New York2023Density Estimation In Rkhs With Application To Korobov Spaces In High Dimensions
Fabio Nobile, Yoshihito Kazashi
A kernel method for estimating a probability density function from an independent and identically distributed sample drawn from such density is presented. Our estimator is a linear combination of kernel functions, the coefficients of which are determined b ...
SIAM PUBLICATIONS2023Influence of advanced footwear technology on sub-2 hour marathon and other top running performances
Raphaël Gérard Théodore Michel Marie de Deloÿe et Fourcade de Fondeville
In 2019, Eliud Kipchoge ran a sub-two hour marathon wearing Nike's Alphafly shoes. Despite being the fastest marathon time ever recorded, it wasn't officially recognized as race conditions were tightly controlled to maximize his success. Besides, Kipchoge' ...
WALTER DE GRUYTER GMBH2022Distributionally Robust Optimization with Polynomial Densities: Theory, Models and Algorithms
In distributionally robust optimization the probability distribution of the uncertain problem parameters is itself uncertain, and a fictitious adversary, e.g., nature, chooses the worst distribution from within a known ambiguity set. A common shortcoming o ...
2020Quantifying the information impact of future searches for exoplanetary biosignatures
One of the major goals for astronomy in the next decades is the remote search for biosignatures (i.e., the spectroscopic evidence of biological activity) in exoplanets. Here we adopt a Bayesian statistical framework to discuss the implications of such futu ...
NATL ACAD SCIENCES2020Fully automated detection, segmentation, and analysis of in vivo RPE single cells
Christophe Moser, Timothé Laforest, Laura Emmanuelle Kowalczuk, Florentino Luciano Caetano Dos Santos
Objective To develop a fully automated method of retinal pigmented epithelium (RPE) cells detection, segmentation and analysis based on in vivo cellular resolution images obtained with the transscleral optical phase imaging method (TOPI). Methods Fourteen ...
NATURE PUBLISHING GROUP2020A nonparametric method for producing isolines of bivariate exceedance probabilities
Emeric Rolland Georges Thibaud
We present a method for drawing isolines indicating regions of equal joint exceedance probability for bivariate data. The method relies on bivariate regular variation, a dependence framework widely used for extremes. The method we utilize for characterizin ...
SPRINGER2019Reconstructing the Drizzle Mode of the Raindrop Size Distribution Using Double-Moment Normalization
Alexis Berne, Timothy Hugh Raupach
Commonly used disdrometers tend not to accurately measure concentrations of very small drops in the raindrop size distribution (DSD), either through truncation of the DSD at the small-drop end or because of large uncertainties on these measurements. Recent ...
AMER METEOROLOGICAL SOC2019Meandering particle bunches and a link between averages of time series of particle counts and higher-order moments
Ambrogio Fasoli, Ivo Furno, Paolo Ricci, Marcelo Baquero Ruiz, Fabian Manke
Time-averaged spatially resolved measurements are used in many fields of physics to determine spatial distributions of a physical quantity. Although one could think that time averaging suppresses all information on time variation, there are some situations ...
2018