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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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

- Nikolai Leonenko, Enrico Scalas, Mailan Trinh
- 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

- Rabha W. Ibrahim, Hamid A. Jalab, Abdullah Gani
- Entropy
- 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

- Rudolf Gorenflo, Francesco Mainardi
- Axioms
- 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

- Romain Biard, Bruno Saussereau
- J. Applied Probability
- 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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