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Showing 1 to 4 of 4 for “"Poisson cluster process"”.
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Hawkes processes and some financial applications
The self-exciting point process, which is now more commonly known as the Hawkes process, is a model for a point process on the real line introduced by Hawkes (1971). The distinguishing feature of such processes is that they allow all past `events' to affect the intensity function at the current …
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Advances in Stochastic Geometry for Cellular Networks
… and BSs are modeled as independent homogeneous Poisson point processes (PPPs). Despite its usefulness, the PPP-based network models fail to capture any spatial coupling between the users and BSs which is dominant in a multi-tier cellular network (also known as the heterogeneous cellular networks …
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Monitoring unknown source IP addresses and packet sizes to detect DDoS attacks
… threats. Assuming network tra c is a marked Poisson process, two parametric detection models are developed. The arrival of packet ows is modeled as Poisson process with cluster sizes that follows a mixture of discrete and heavy tailed distributions. Both detection systems monitor the …
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Performance Analysis for 5G cellular networks: Millimeter Wave and UAV Assisted Communications
… (ASEP) in mmWave cellular networks with Poisson Point Process (PPP) distributed BSs is conducted using tools from stochastic geometry. Secondly, we analyze the energy efficiency of relay-assisted downlink mmWave cellular networks. Then, we provide an stochastic geometry framework to study …