Results 21 to 30 of about 9,100,775 (301)
Bernoulli track‐before‐detect smoothing for maritime radar
IET Radar, Sonar & Navigation, 2022 Detection and tracking of small targets in sea clutter using a high‐resolution radar is a challenging problem as the sea surface constantly moves in a complex manner, with rough seas creating strong target‐like returns. Recently, a Bernoulli track‐before‐
Branko Ristic +3 more
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Adaptive Multi-target Tracking Algorithm with Unknown Detection Probability [PDF]
Jisuanji gongcheng, 2017 In order to accurately model the system detection probability in a complex background,a Multi-Target Tracking(MTT) method with unknown detection probability is proposed.The detection probability is modeled by the Time Varying AutoRegressive(TVAR) process.
LIU Jun,YUAN Peiyan,QIU Hao
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Robust Poisson Multi-Bernoulli Filter With Unknown Clutter Rate
IEEE Access, 2019 In Bayesian multi-target tracking (MTT), knowledge of clutter intensity is required for effective multi-target state estimation. In this paper, we propose an online multi-target filter that can operate under background with unknown clutter intensity. Our
Weijian Si, Hongfan Zhu, Zhiyu Qu
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Journal of Inequalities and Applications, 2018 In the present paper, firstly we find a number of poles of generating functions of Bernoulli numbers and associated Euler numbers, denoted by n(a,B) $n ( a,\mathbf{B} ) $ and n(a,E) $n ( a,E ) $, respectively.
Serkan Araci, Mehmet Acikgoz
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Orbits of the Bernoulli measure in single-transition asynchronous cellular automata [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We study iterations of the Bernoulli measure under nearest-neighbour asynchronous binary cellular automata (CA) with a single transition. For these CA, we show that a coarse-level description of the orbit of the Bernoulli measure can be obtained, that is,
Henryk Fukś, Andrew Skelton
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Generalized Wilker-type inequalities with two parameters
Journal of Inequalities and Applications, 2016 In the article, we present certain p , q ∈ R $p, q\in\mathbb{R}$ such that the Wilker-type inequalities 2 q p + 2 q ( sin x x ) p + p p + 2 q ( tan x x ) q > ( < ) 1 and ( π 2 ) p ( sin x x ) p + [ 1 − ( π 2 ) p ] ( tan x x ) q > ( < ) 1 $$\begin{aligned}
Hong-Hu Chu +3 more
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Entropy, 2021 The Sigma-Pi structure investigated in this work consists of the sum of products of an increasing number of identically distributed random variables. It appears in stochastic processes with random coefficients and also in models of growth of entities ...
Arthur Matsuo Yamashita Rios de Sousa +3 more
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Congruences for Bernoulli numbers and Bernoulli polynomials
Discrete Mathematics, 1997 The Bernoulli numbers and polynomials are defined by \(B_0=1\), \(\sum^{n-1}_{k=0}{n\choose k} B_k= 0\) \((n=2,3,\dots)\) and \(B_n(x)= \sum^n_{k=0}{n\choose k} B_{n-k} x^k\), respectively. Two basic congruences for Bernoulli numbers are the Kummer congruences (used in the theory of Fermat's last theorem) and the von Staudt-Clausen theorem. There exist
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Journal of Number Theory, 1995 The author strengthens the Sylvester-Lipschitz theorem for Bernoulli numbers \(B_m\) as follows: ``For an integer \(a\) and a positive integer \(m\) the number \(a^{[\log_2 m]+1} (a^m- 1)B_m/ m\) is an integer.'' It is noted that in a certain sense this strengthening of the Sylvester- Lipschitz theorem is the best possible.
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