La loi de Pascal restreinte et ses cas particuliers; Constrained Pascal distribution and its special cases [PDF]
Tutorials in Quantitative Methods for Psychology, 2012 Pascal distribution, Pa(r, /pi), also called Negative binomial distribution, pertains to the trial number n at which the first r successes have been obtained, each trial being the realization of a Bernoulli variable with success probability /pi.
Louis Laurencelle
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The Pairwise-Markov Bernoulli Filter
IEEE Access, 2020 The Bernoulli filter is a general, Bayes-optimal solution for tracking a single disappearing and reappearing target, using a sensor whose observations are corrupted by missed detections and a general, known clutter process.
Ronald Mahler
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Constructions of majorizing measures Bernoulli processes and cotype [PDF]
Geometric and Functional Analysis, 1994 We present three methods to construct majorizing measures in various settings. These methods are based on direct constructions of increasing sequences of partitions through a simple exhaustion procedure rather than on the construction of well separated ultrametric subspaces.
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Time-headway distribution for random-sequential-update TASEP with periodic and open boundaries
Journal of Traffic and Transportation Engineering (English ed. Online), 2020 The temporal-headway distribution for Totally Asymmetric Simple Exclusion Process (TASEP) with random-sequential update is investigated. Considering the stationary/steady state of the process, exact formula for the step-headway distribution is derived ...
Pavel Hrabák
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Effects of the Wiener Process on the Solutions of the Stochastic Fractional Zakharov System
Mathematics, 2022 We consider in this article the stochastic fractional Zakharov system derived by the multiplicative Wiener process in the Stratonovich sense. We utilize two distinct methods, the Riccati–Bernoulli sub-ODE method and Jacobi elliptic function method, to ...
Farah M. Al-Askar +3 more
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A Lévy–Ottaviani type inequality for the Bernoulli process on an interval [PDF]
, 2020 Witold Bednorz, Rafał Martynek
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A short proof of Gevrey regularity for homogenized coefficients of the Poisson point process
Comptes Rendus. Mathématique, 2022 In this short note we capitalize on and complete our previous results on the regularity of the homogenized coefficients for Bernoulli perturbations by addressing the case of the Poisson point process, for which the crucial uniform local finiteness ...
Duerinckx, Mitia, Gloria, Antoine
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Decentralized Poisson Multi-Bernoulli Filtering for Vehicle Tracking
IEEE Access, 2020 A decentralized Poisson multi-Bernoulli filter is proposed to track multiple vehicles using multiple high-resolution sensors. Independent filters estimate the vehicles' presence, state, and shape using a Gaussian process extent model; a decentralized ...
Markus Frohle +2 more
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Stationary perturbations based on Bernoulli processes [PDF]
Studia Mathematica, 1990 Let \(\sigma\) be a \((p_ 1,\dots,p_ s)\) Bernoulli shift, \(T\) an endomorphism of the Lebesgue space of \([0,1]\) and \(T^{-1}_ \varepsilon(y)=(1-\varepsilon)y+\varepsilon g(y ...
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Joint Detection and DOA Tracking with a Bernoulli Filter Based on Information Theoretic Criteria
Sensors, 2018 In this paper, we study the problem of the joint detection and direction-of-arrival (DOA) tracking of a single moving source which can randomly appear or disappear from the surveillance volume.
Guangpu Zhang +4 more
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