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On the Connectedness of Random Sets of ℝ
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2021 Random sets arise as distinguished models to study probability under imprecision. This work aims to determine the connectedness of a random set in terms of its capacity functional (the probability of hitting a set). This problem is linked to the celebrated Choquet–Kendall–Matheron theorem, which states that a random closed set is characterized by its ...
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Patients with chronic kidney disease undergoing hemodialysis commonly experience reduced physical function, fatigue, poor sleep quality, and impaired health‐related quality of life. Intradialytic exercise has been proposed as a non‐pharmacological strategy to improve these outcomes.
Klebson da Silva Almeida +6 more
wiley +1 more source
The geometry of self-affine fractals [PDF]
, 2009 In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number of notions from fractal geometry, in particular, dimensions, measure properties and iterated functions systems.
Miao, Jun Jie
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo +5 more
wiley +1 more source
Properties of Statistical Depth with Respect to Compact Convex Random Sets: The Tukey Depth
Mathematics, 2022 We study a statistical data depth with respect to compact convex random sets, which is consistent with the multivariate Tukey depth and the Tukey depth for fuzzy sets.
Luis González-De La Fuente +2 more
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On the Construction of Effective Random Sets
Journal of Symbolic Logic, 2002 Abstract.We present a comparatively simple way to construct Martin-Löf random and rec-random sets with certain additional properties, which works by diagonalizing against appropriate martingales. Reviewing the result of Gács and Kučera, for any given set X we construct a Martin-Löf random set from which X can be decoded effectively.By a variant of the ...
Merkle, Wolfgang, Mihailović, Nenad
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
wiley +1 more source
Counting Figures in Planar Random Configurations [PDF]
, 1985 Random configurations are considered that are generated by a Poisson process of figures in the plane, and a recent result is used to derive formulae for the estimation of the number of figures, and their mean area and perimeter.
Kellerer, Albrecht M.
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Prospect Theory Based Portfolio Optimization Problem with Imprecise Forecasts [PDF]
Managing Global Transitions, 2017 In this paper we propose a novel interval optimization approach for portfolio selection when imprecise forecasts are available. We consider investors acting their choices according to the prospect theory, where scenarios are provided in the form of ...
Massimiliano Kaucic, Roberto Daris
doaj
SIMILARITY BETWEEN RANDOM SETS CONSISTING OF MANY COMPONENTS
Image Analysis and Stereology, 2019 Random sets play an essential role in modelling several phenomena in biology, medicine and material science. However, sometimes it is hard to describe them using a specific model.
Vesna Gotovac
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