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Bayesian adaptation in Poisson cognitive systems
Открытое образование (Москва), 2019 The aim of the study is to investigate the possibility of applying Bayesian adaptation algorithms to cognitive systems that perceive the Poisson process of external events.The method of research is the use of stochastic description and synthesis of ...
Aleksander A. Solodov
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Linear Prediction of Sum of Two Poisson Process
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Our goal from this work is to find the linear prediction of the sum of two Poisson process ) ( ) ( ) ( t Y t X t Z + = at the future time 0 ), ( ≥ + τ τ t Z and that is when we know the values of ) (t Z in the past time and the correlation ...
S. H. Raheem
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Nanjing Hangkong Hangtian Daxue XuebaoSince future universal access transceiver 2 （UAT2） mode automatic dependent surveillance-broadcast （ADS-B） devices for low-altitude aircraft surveillance would face overlapping messages in high-traffic scenarios， this study combines probabilistic ...
TANG Xinmin, FENG Wenyuan, GUAN Xiangmin
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Second order corrections for the limits of normalized ruin times in the presence of heavy tails
Stochastic Systems, 2014 In this paper we consider a compound Poisson risk model with regularly varying claim sizes. For this model in [4] an asymptotic formula for the finite time ruin probability is provided when the time is scaled by the mean excess function. In this paper
Dominik Kortschak, Søren Asmussen
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Poissonian bursts in e-mail correspondence
, 2009 Recent work has shown that the distribution of inter-event times for e-mail communication exhibits a heavy tail which is statistically consistent with a cascading Poisson process.
Anteneodo, C. +2 more
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Logarithmic Lévy process directed by Poisson subordinator
Modern Stochastics: Theory and Applications, 2019 Let $\{L(t),t\ge 0\}$ be a Lévy process with representative random variable $L(1)$ defined by the infinitely divisible logarithmic series distribution. We study here the transition probability and Lévy measure of this process.
Penka Mayster, Assen Tchorbadjieff
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IEEE Access, 2020 The evolution of the fifth-generation (5G)/ beyond 5G (B5G) mobile communication networks greatly depends on the seamless integration of terrestrial and sky networks over advanced multi-tier heterogeneous network (HetNet) infrastructure.
Pengshan Ji +4 more
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Poisson suspensions and infinite ergodic theory
, 2008 We investigate ergodic theory of Poisson suspensions. In the process, we establish close connections between finite and infinite measure preserving ergodic theory.
Daley +5 more
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Jambura Journal of MathematicsThis article implements the thinning process algorithm, which has been generalized for estimators of compound periodic Poisson processes. The use of generalizations in the algorithm has been prepared with a linear trend in the periodic elements.
Syarif Abdullah +5 more
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Stein's method and Poisson process approximation for a class of Wasserstein metrics
, 2009 Based on Stein's method, we derive upper bounds for Poisson process approximation in the $L_1$-Wasserstein metric $d_2^{(p)}$, which is based on a slightly adapted $L_p$-Wasserstein metric between point measures.
Schuhmacher, Dominic
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