Fractional Poisson process

In probability theory, a fractional Poisson process is a stochastic process to model the long-memory dynamics of a stream of counts. The time… (More)
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Topic mentions per year

Topic mentions per year

2009-2017
01220092017

Papers overview

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2016
2016
The space-fractional Poisson process is a time-changed homogeneous Poisson process where the time change is an independent stable… (More)
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2016
2016
We introduce a non-homogeneous fractional Poisson process by replacing the time variable in the fractional Poisson process of… (More)
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2016
2016
A perturbed multi-agent system is a scheme self-possessed of multiple networking agents within a location. This scheme can be… (More)
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2015
2015
We consider the renewal counting number process N = N(t) as a forward march over the non-negative integers with independent… (More)
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2014
2014
We study a renewal risk model in which the surplus process of the insurance company is modeled by a compound fractional Poisson… (More)
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2013
2013
Using inverse subordinators and Mittag-Leffler functions, we present a new definition of a fractional Poisson process… (More)
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2011
2011
The fractional Poisson process is a renewal process with Mittag-Leffler waiting times. Its distributions solve a time-fractional… (More)
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2011
2011
The fractional Poisson process (FPP) is a counting process with independent and identically distributed inter-event times… (More)
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2009
2009
The paper proposes a formal estimation procedure for parameters of the fractional Poisson process (fPp). Such procedures are… (More)
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2009
2009
We present three different fractional versions of the Poisson process and some related results concerning the distribution of… (More)
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