Results 11 to 20 of about 2,891,219 (304)
Random selection of Borel sets [PDF]
Applied General Topology, 2010 A theory of random Borel sets is presented, based on dyadic resolutions of compact metric spaces. The conditional expectation of the intersection of two independent random Borel sets is investigated.
Bernd Günther
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Exact dimensionality and projections of random self-similar measures and sets [PDF]
, 2014 We study the geometric properties of random multiplicative cascade measures defined on self-similar sets. We show that such measures and their projections and sections are almost surely exact dimensional, generalizing a result of Feng and Hu's for self ...
Jin, Xiong +4 more
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Modelling multi-scale microstructures with combined Boolean random sets: A practical contribution [PDF]
, 2009 Boolean random sets are versatile tools to match morphological and topological properties of real structures of materials and particulate systems. Moreover, they can be combined in any number of ways to produce an even wider range of structures that ...
Bourgeois, Florent +2 more
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A random set and prototype theory interpretation of intuitionistic fuzzy sets [PDF]
, 2010 An interpretation of intuitionistic fuzzy sets is proposed based on random set theory and prototype theory. The extension of fuzzy labels are modelled by lower and upper random set neighbourhoods, identifying those element of the universe within an ...
Lawry, Jonathan, Jonathan Lawry
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Exact Closed-Form Multitarget Bayes Filters
Sensors, 2019 The finite-set statistics (FISST) foundational approach to multitarget tracking and information fusion has inspired work by dozens of research groups in at least 20 nations; and FISST publications have been cited tens of thousands of times.
Ronald Mahler
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“Statistics 103” for Multitarget Tracking
Sensors, 2019 The finite-set statistics (FISST) foundational approach to multitarget tracking and information fusion was introduced in the mid-1990s and extended in 2001.
Ronald Mahler
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Two-Step Method for Assessing Similarity of Random Sets
Image Analysis and Stereology, 2021 The paper concerns a new statistical method for assessing dissimilarity of two random sets based on one realisation of each of them. The method focuses on shapes of the components of the random sets, namely on the curvature of their boundaries together ...
Vesna Gotovac Đogaš +5 more
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Random optimization on random sets [PDF]
Mathematical Methods of Operations Research, 2019 The authors study the portfolio processes which are minimal with respect to the random preorders. A general setting is considered where the random preorder is either defined by a random set, which is not necessarily convex, or is defined by a random countable multi-utility representation.
openaire +3 more sources
Comparing Fuzzy Sets and Random Sets to Model the Uncertainty of Fuzzy Shorelines
Remote Sensing, 2017 This paper addresses uncertainty modelling of shorelines by comparing fuzzy sets and random sets. Both methods quantify extensional uncertainty of shorelines extracted from remote sensing images. Two datasets were tested: pan-sharpened Pleiades with four
Ratna Sari Dewi +2 more
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A stochastic order for random vectors and random sets based on the Aumann expectation [PDF]
, 2003 We de1ne a new stochastic order for random vectors in terms of the inclusion relation for the Aumann expectation of certain random sets. We derive some properties of this order, relate it with other well-known multivariate stochastic convex orders, give ...
Molchanov, Ilya +1 more
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