Results 1 to 10 of about 1,112 (42)

Applications of a change of measures technique for compound mixed renewal processes to the ruin problem

open access: yesModern Stochastics: Theory and Applications, 2021
In the present paper the change of measures technique for compound mixed renewal processes, developed in Tzaninis and Macheras [ArXiv:2007.05289 (2020) 1–25], is applied to the ruin problem in order to obtain an explicit formula for the probability of ...
Spyridon M. Tzaninis
doaj   +1 more source

The effect of propagation delay on the dynamic evolution of the Bitcoin blockchain

open access: yesDigital Communications and Networks, 2020
This paper analyzes the selfish-mine strategy in the Bitcoin blockchain introduced in 2013 by I. Eyal and E. G. Sirer. This strategy could be used by a colluding pool of miners to earn more than their fair share of the mining revenue and in consequence ...
Moustapha BA
doaj   +1 more source

A note on stable point processes occurring in branching Brownian motion [PDF]

open access: yes, 2013
We call a point process $Z$ on $\mathbb R$ \emph{exp-1-stable} if for every $\alpha,\beta\in\mathbb R$ with $e^\alpha+e^\beta=1$, $Z$ is equal in law to $T_\alpha Z+T_\beta Z'$, where $Z'$ is an independent copy of $Z$ and $T_x$ is the translation by $x$.
Maillard, Pascal
core   +4 more sources

On the One dimensional Poisson Random Geometric Graph [PDF]

open access: yes, 2010
Given a Poisson process on a bounded interval, its random geometric graph is the graph whose vertices are the points of the Poisson process and edges exist between two points if and only if their distance is less than a fixed given threshold.
Decreusefond, Laurent, Ferraz, Eduardo
core   +6 more sources

Limit Theorems for a Cox-Ingersoll-Ross Process with Hawkes Jumps [PDF]

open access: yes, 2014
In this paper, we propose a stochastic process, which is a Cox-Ingersoll-Ross process with Hawkes jumps. It can be seen as a generalization of the classical Cox-Ingersoll-Ross process and the classical Hawkes process with exponential exciting function ...
Zhu, Lingjiong
core   +1 more source

Multi-condition of stability for nonlinear stochastic non-autonomous delay differential equation [PDF]

open access: yes, 2018
A nonlinear stochastic differential equation with the order of nonlinearity higher than one, with several discrete and distributed delays and time varying coefficients is considered.
Shaikhet, Leonid
core   +2 more sources

Consistency of a Uniform Kernel Estimator for Intensity of a Periodic Poisson Process with Unknown Period [PDF]

open access: yes, 2008
A uniform kernel estimator for intensity of a periodic Poisson process with unknowm period is presented and a proof of its consistency is discussed. The result presented in this paper is a special case of that in [3].
MANGKU, I. W. (I)
core   +2 more sources

Counting processes with Bern\v{s}tein intertimes and random jumps [PDF]

open access: yes, 2014
We consider here point processes $N^f(t)$, $t>0$, with independent increments and integer-valued jumps whose distribution is expressed in terms of Bern\v{s}tein functions $f$ with L\'evy measure $\nu$.
Orsingher, Enzo, Toaldo, Bruno
core   +1 more source

Overlap synchronisation in multipartite random energy models [PDF]

open access: yes, 2017
In a multipartite random energy model, made of a number of coupled GREMs, we determine the joint law of the overlaps in terms of the ones of the single GREMs.
Genovese, Giuseppe, Tantari, Daniele
core   +2 more sources

A note on Hadamard fractional differential equations with varying coefficients and their applications in probability

open access: yes, 2017
In this paper we show several connections between special functions arising from generalized COM-Poisson-type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results
Garra, Roberto   +2 more
core   +1 more source

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