Results 1 to 10 of about 2,222,592 (283)
Standard representation of multivariate functions on a general probability space [PDF]
Electronic Communications in Probability, 2009 It is well-known that a random variable, i.e., a function defined on a probability space, with values in a Borel space, can be represented on the special probability space consisting of the unit interval with Lebesgue measure. We show an extension of this to multivariate functions. This is motivated by some recent constructions of random graphs.
Svante Janson
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Conversion from nonstandard to standard measure spaces and applications in probability theory [PDF]
Transactions of the American Mathematical Society, 1975 Let ( X , A , ν ) (X,\mathcal {A},\nu ) be an internal measure space in a denumerably comprehensive enlargement. The set X is a standard measure space when equipped with the smallest standard σ \sigma -algebra M \mathfrak {M}
Peter A. Loeb
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Estalishing a nonlinear optimization method for structural reliability analysis [PDF]
مهندسی عمران شریف, 2023 The Hasofer-Lind and Rackwitz-Fiessler (HLRF) algorithm, which is based on the first-order reliability method (FORM), is widely used to estimate failure probability, reliability index, and design point in structural reliability analysis.
Mehrshad Ghorbanzadeh +2 more
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Animal, 2021 Environmental enrichment, adequate space and the ability to separate a living area into suitable functional areas are key elements for pig welfare. In this study, a two-level pen for nursery pigs was explored with the aim of analysing the use of space ...
J. Laves +4 more
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Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels
Nuclear Physics B, 2021 We show that the Riemannian Gaussian distributions on symmetric spaces, introduced in recent years, are of standard random matrix type. We exploit this to compute analytically marginals of the probability density functions.
Leonardo Santilli, Miguel Tierz
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A Modification of the PBIL Algorithm Inspired by the CMA-ES Algorithm in Discrete Knapsack Problem
Applied Sciences, 2021 The subject of this paper is the comparison of two algorithms belonging to the class of evolutionary algorithms. The first one is the well-known Population-Based Incremental Learning (PBIL) algorithm, while the second one, proposed by us, is a ...
Maria Konieczka +3 more
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On Probabilistic Risk of Aircraft Collision along Air Corridors
Aerospace, 2021 The separation of aircraft in cruising flight in air corridors is based on the assurance of an extremely low probability of collision due to position inaccuracy caused by navigation errors, atmospheric disturbances, or other factors.
Luís M. B. C. Campos +1 more
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Encounters and conversations: an office café space as a “magnet space”
Japan Architectural Review, 2020 A study was conducted on the activities of office workers at a café space with a lounge in a free‐address office to investigate communication at a “magnet space.” The major results were as follows: (i) The encounter probability between two office workers
Tai Satoh, Tomonori Sano
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New Approaches to Fractal Dimension Estimation With Application to Gray-Scale Images
IEEE Access, 2020 Two new approaches for calculating box-counting fractal dimension (FD) estimates for gray-scale images are considered to overcome some of the limitations of the standard box-counting method, which requires setting a threshold in a pre-processing step ...
Piotr D. Szyperski, D. Robert Iskander
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