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20032026
most citedAsymptotic behavior of unstable INAR(p) processes

45 citations · 152 across the 64 of their papers we have counts for

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Showing 2014 · math.PRShow all

7 papers · 2 filters

math.PR2014

Dilatively stable stochastic processes and aggregate similarity

Matyas Barczy, Peter Kern, Gyula Pap

Dilatively stable processes generalize the class of infinitely divisible self-similar processes. We reformulate and extend the definition of dilative stability introduced by Iglói…

math.PR2014★ 2 cited

Gauss-Markov processes as space-time scaled stationary Ornstein-Uhlenbeck processes

Matyas Barczy, Peter Kern

We present a class of Gauss-Markov processes which can be represented as space-time scaled stationary Ornstein-Uhlenbeck processes defined on the real line. We give several explici…

math.PR2014

On convergence properties of infinitesimal generators of scaled multi-type CBI processes

Matyas Barczy, Gyula Pap

It is a common method for proving weak convergence of a sequence of time-homogeneous Markov processes towards a time-homogeneous Markov process first to show convergence of the cor…

math.PR2014

Asymptotic behavior of critical irreducible multi-type continuous state and continuous time branching processes with immigration

Matyas Barczy, Gyula Pap

Under natural assumptions, a Feller type diffusion approximation is derived for critical, irreducible multi-type continuous state and continuous time branching processes with immig…

math.PR2014★ 3 cited

Moment formulas for multi-type continuous state and continuous time branching processes with immigration

Matyas Barczy, Zenghu Li, Gyula Pap

Recursions for moments of multi-type continuous state and continuous time branching process with immigration are derived. It turns out that the -th (mixed) moments and the -t…

math.PR2014

A link between Bougerol's identity and a formula due to Donati-Martin, Matsumoto and Yor

Matyas Barczy, Peter Kern

We point out an easy link between two striking identities on exponential functionals of the Wiener process and the Wiener bridge originated by Bougerol, and Donati-Martin, Matsumot…