Results 51 to 60 of about 45,963 (130)
Aging and Rejuvenation with Fractional Derivatives [PDF]
, 2004 We discuss a dynamic procedure that makes the fractional derivatives emerge in the time asymptotic limit of non-Poisson processes. We find that two-state fluctuations, with an inverse power-law distribution of waiting times, finite first moment and ...
B. J. West +8 more
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Full characterization of the fractional Poisson process [PDF]
EPL (Europhysics Letters), 2011 The fractional Poisson process (FPP) is a counting process with independent and identically distributed inter-event times following the Mittag-Leffler distribution. This process is very useful in several fields of applied and theoretical physics including models for anomalous diffusion. Contrary to the well-known Poisson process, the fractional Poisson
POLITI M, KAIZOJI T, SCALAS, Enrico
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Analytic solutions of fractional differential equations by operational methods
, 2012 We describe a general operational method that can be used in the analysis of fractional initial and boundary value problems with additional analytic conditions. As an example, we derive analytic solutions of some fractional generalisation of differential
Garra, Roberto, Polito, Federico
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Proactive Uplink Interference Management for Nonuniform Heterogeneous Cellular Networks
IEEE Access, 2020 In homogeneous cellular networks, fractional power control (FPC) is employed to partially compensate the path-loss and, hence, improve uplink (UL) signal-to-interference ratio (SIR).
Muhammad Sajid Haroon +5 more
doaj +1 more source
A generalization of the space-fractional Poisson process and its connection to some Lévy processes [PDF]
, 2016 The space-fractional Poisson process is a time-changed homogeneous Poisson process where the time change is an independent stable subordinator. In this paper, a further generalization is discussed that preserves the Lévy property.
Polito, Federico, Scalas, Enrico
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On the Long-Range Dependence of Mixed Fractional Poisson Process [PDF]
Journal of Theoretical Probability, 2020 In this paper, we show that the mixed fractional Poisson process (MFPP) exhibits the long-range dependence (LRD) property. It is proved by establishing an asymptotic result for the covariance of inverse mixed stable subordinator. Also, it is shown that the increments of the MFPP, namely, the mixed fractional Poissonian noise (MFPN) has the short-range ...
Kataria, K. K., Khandakar, M.
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Stochastic modeling for neural spiking events based on fractional superstatistical Poisson process
AIP Advances, 2018 In neural spike counting experiments, it is known that there are two main features: (i) the counting number has a fractional power-law growth with time and (ii) the waiting time (i.e., the inter-spike-interval) distribution has a heavy tail.
Hidetoshi Konno, Yoshiyasu Tamura
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Fractional Generalizations of the Compound Poisson Process
, 2023 This paper introduces the Generalized Fractional Compound Poisson Process (GFCPP), which claims to be a unified fractional version of the compound Poisson process (CPP) that encompasses existing variations as special cases. We derive its distributional properties, generalized fractional differential equations, and martingale properties.
Gupta, Neha, Maheshwari, Aditya
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Particle systems with quasi-homogeneous initial states and their occupation time fluctuations
, 2010 Occupation time fluctuation limits of particle systems in R^d with independent motions (symmetric stable Levy process, with or without critical branching) have been studied assuming initial distributions given by Poisson random measures (homogeneous and ...
Bojdecki, Tomasz +2 more
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The on-off network traffic model under intermediate scaling
, 2010 The result provided in this paper helps complete a unified picture of the scaling behavior in heavy-tailed stochastic models for transmission of packet traffic on high-speed communication links.
Dombry, Clément, Kaj, Ingemar
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