On the concept of depth for functional data
WebOur approach combines two novel functional tools: 1) a depth-based method for functional time series forecasting (El´ıas et al.,2024c); and 2) a functional depth for … Web22 de dez. de 2015 · We propose a new notion called “extremal depth” (ED) for functional data, discuss its properties, and compare its performance with existing concepts. The proposed notion is based on a measure of extreme “outlyingness.”
On the concept of depth for functional data
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WebOn the Concept of Depth for Functional Data (PDF) On the Concept of Depth for Functional Data Sara Lopez-Pintado - Academia.edu Academia.edu no longer supports … Web30 de abr. de 2006 · The statistical analysis of functional data is a growing need in many research areas. We propose a new depth notion for functional observations based on the graphic representation of the curves. Given a collection of functions, it allows to establish the centrality of a function and provides a natural center-outward ordering of the sample curves.
Web21 de jul. de 2016 · Modified half-region depth for spatial dispersion functions. We introduce a depth function with the aim of providing an ordering of the georeferenced functional data on the basis of the spatial dependence of each georeferenced curve with the others. To address this challenge, we introduce the concept of spatial dispersion function \delta ^ … WebExtremal Depth for Functional Data and Applications Naveen N. Narisetty and Vijayan N. Nair Abstract We propose a new notion called ‘extremal depth’ (ED) for functional data, discuss its properties, and compare its performance with existing concepts. The proposed notion is based on a measure of extreme ‘outlyingness’. ED has several ...
Web1 de jan. de 2011 · Abstract. The notions of depth for functional data provide a way of ordering curves from center-outward. These methods are designed for trajectories that … WebKey words and phrases: Data depth, functional data, multivariate statistics, robustness. 1. INTRODUCTION For univariate data the sample median is well known to be appropriately describing the centre of a data cloud. An extension of this concept for multivariate data (say p-dimensional) is the notion of a point (in
WebON A GENERAL DEFINITION OF DEPTH FOR FUNCTIONAL DATA 631 tional (subsequently called just depth, or depth func-tional) for data taking the form of …
Web1 de jan. de 2012 · Data depth can be also used to screen for outliers. The ability of the new notions of depth to detect “shape” outliers is presented. Several real datasets are considered to illustrate this new concept of depth, including applications to microarray … fiwind sorteoWeb22 de jan. de 2024 · This work presents a novel method for the non-invasive, in-line monitoring of mixing processes in microchannels using the Raman photometric technique. The measuring set-up distinguishes itself from other works in this field by utilizing recent state-of-the-art customized photon multiplier (CPM) detectors, bypassing the use of a … can kidney repair it\u0027s own damageWebFinally, through this depth, we generalize to functions the Wilcoxon rank sum test. It allows testing whether two groups of curves come from the same population. This functional rank test when applied to children growth curves shows different growth patterns for boys and girls. KEY WORDS: Data depth; Functional data; Rank test for functions. 1. can kidney problems cause stressWeb21 de out. de 2014 · The concept of data depth leads to a center-outward ordering of multivariate data, and it has been effectively used for developing various data analytic … can kidneys be repairedWeb1 de jan. de 1998 · Its finite-dimensional version provides a new depth for multivariate data that is computationally very fast and turns out to be convenient to study high-dimensional … can kidneys be regeneratedWebDownloadable! In the last years the concept of data depth has been increasingly used in Statistics as a center-outward ordering of sample points in multivariate data sets. Recently data depth has been extended to functional data. In this paper we propose new intrinsic functional data depths based on the representation of functional data on Reproducing … fiwine bordeauxWeb23 de fev. de 2024 · The concept of depth has proved very important for multivariate and functional data analysis, as it essentially acts as a surrogate for the notion of ranking of observations which is absent in more than one dimension. Motivated by the rapid development of technology, in particular the advent of ‘Big Data’, we extend here that … can kidney problems cause skin rashes