Results 1 to 10 of about 1,179 (57)

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

Edge fluctuations for random normal matrix ensembles [PDF]

open access: yesRandom Matrices. Theory and Applications, 2018
A famous result going back to Eric Kostlan states that the moduli of the eigenvalues of random normal matrices with radial potential are independent yet non identically distributed.
David García-Zelada
semanticscholar   +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

Complete convergence theorem for stationary heavy tailed sequences [PDF]

open access: yes, 2015
For a class of stationary regularly varying and weakly dependent multivariate time series (Xn), we prove the so-called complete convergence result for the space–time point processes of the form Nn = ∑n i=1 δ(i/n,Xi/an).
Bojan Basrak, A. Tafro
semanticscholar   +1 more source

Hawkes process modelling for chemical reaction networks in a random environment

open access: yesbioRxiv, 2023
Cellular processes are open systems, situated in a heterogeneous context, rather than operating in isolation. Chemical reaction networks (CRNs) whose reaction rates are modelled as external stochastic processes account for the heterogeneous environment ...
Mark Sinzger-D’Angelo, H. Koeppl
semanticscholar   +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

Free area estimation in a partially observed dynamic germ‐grain model

open access: yesInternational Journal of Stochastic Analysis, Volume 15, Issue 4, Page 287-307, 2002., 2002
The estimation problem of the expected local fraction of free area function S for a partially observed dynamic germ‐grain model is presented. Properties of the estimators are proved by martingale and product integral methods. Confidence bounds are provided.
Marcello De Giosa, Rosa Maria Mininni
wiley   +1 more source

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

Palm theory for random time changes

open access: yesInternational Journal of Stochastic Analysis, Volume 14, Issue 1, Page 55-74, 2001., 2001
Palm distributions are basic tools when studying stationarity in the context of point processes, queueing systems, fluid queues or random measures. The framework varies with the random phenomenon of interest, but usually a one‐dimensional group of measure‐preserving shifts is the starting point.
Masakiyo Miyazawa   +2 more
wiley   +1 more source

A POINT PROCESS APPROACH FOR SPATIAL STOCHASTIC MODELING OF THUNDERSTORM CELLS

open access: yes, 2018
In this paper we consider two different approaches for spatial stochastic modeling of thunderstorms. Thunderstorm cells are represented using germ-grain models from stochastic geometry, which are based on Cox or doubly-stochastic cluster processes.
Bjoern Kriesche, R. Hess, V. Schmidt
semanticscholar   +1 more source

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