Results 31 to 40 of about 4,870 (273)
FRACTIONAL PROCESSES: FROM POISSON TO BRANCHING ONE [PDF]
International Journal of Bifurcation and Chaos, 2008 Fractional generalizations of the Poisson process and branching Furry process are considered. The link between characteristics of the processes, fractional differential equations and Lèvy stable densities are discussed and used for the construction of the Monte Carlo algorithm for simulation of random waiting times in fractional processes.
Vladimir V. Uchaikin +2 more
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Studies on generalized Yule models
Modern Stochastics: Theory and Applications, 2018 We present a generalization of the Yule model for macroevolution in which, for the appearance of genera, we consider point processes with the order statistics property, while for the growth of species we use nonlinear time-fractional pure birth processes
Federico Polito
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Models for Call Acceptance Based on Handoff Guarantees
EURASIP Journal on Wireless Communications and Networking, 2008 Call admission control (CAC) is important for cellular wireless networks to provide quality-of-service (QoS) requirements to users. Static and adaptive CAC schemes, respectively, make unrealistic assumptions about the distributions of the handoff call ...
Rahman Mostafizur, Alfa AttahiruSule
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Noncentral moderate deviations for fractional Skellam processes
Modern Stochastics: Theory and Applications, 2023 The term moderate deviations is often used in the literature to mean a class of large deviation principles that, in some sense, fills the gap between a convergence in probability to zero (governed by a large deviation principle) and a weak convergence to
Jeonghwa Lee, Claudio Macci
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Weak convergence of the complex fractional Brownian motion
Advances in Difference Equations, 2018 In this paper, we obtain two approximations in law of the complex fractional Brownian motion by processes constructed from a Poisson process and a Lévy process, respectively.
Liheng Sang, Guangjun Shen, Qingbo Wang
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Fractional Poisson Process [PDF]
, 2020 This work concerns the fractional Poisson process and its properties. The aim of this work is to derive some of its properties in detail. The first chapter contains the basics of the theory of random processes, fractional calculus, especially in ...
Jalovcová, Adéla
core
The Fractional Differential Polynomial Neural Network for Approximation of Functions
Entropy, 2013 In this work, we introduce a generalization of the differential polynomial neural network utilizing fractional calculus. Fractional calculus is taken in the sense of the Caputo differential operator.
Rabha W. Ibrahim
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Some results on Bayes estimation under Linex loss function [PDF]
Journal of HyperstructuresIn this paper, we introduced straightforward formulas for the Bayes risk linked to the Linex loss function, which we then applied to estimate parameters of the normal, Poisson, and fractional Weibull distributions.We aimed to investigate the development ...
Masoud Ganji, Fatemeh Gharari
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Parameter estimation for fractional Poisson processes [PDF]
Journal of Statistical Planning and Inference, 2010 The paper proposes a formal estimation procedure for parameters of the fractional Poisson process (fPp). Such procedures are needed to make the fPp model usable in applied situations. The basic idea of fPp, motivated by experimental data with long memory is to make the standard Poisson model more flexible by permitting non-exponential, heavy-tailed ...
Cahoy, Dexter O. +2 more
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Fractal and FractionalEach charging/discharging cycle leads to a gradual decrease in the battery’s capacity. The degradation of capacity in lithium-ion batteries represents a non-monotonous process with random jumps.
Jing Shi +4 more
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