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- Eötvös Loránd UniversityHU115 papers
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- HUN-REN Wigner Research Centre for PhysicsHU70 papers
- California Institute of TechnologyUS59 papers
- Centre National de la Recherche ScientifiqueFR59 papers
- Goddard Space Flight CenterUS59 papers
- Tsinghua UniversityCN55 papers
- HUN-REN Research Centre for Astronomy and Earth SciencesHU53 papers
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7 papers · 1 filter
On a conjecture of Seneta
Peter Kevei
In this short note we prove that is regularly varying with index if and only if $V_β(x) = \int_{[0,x]} y^β\mat…
The limit distribution of ratios of jumps and sums of jumps of subordinators
Péter Kevei, David M. Mason
Let be a driftless subordinator, and let denote its jump sequence on interval . Put $V_{t}^{(k)} = V_{t} - m_{t}^{(1)} - \l…
The Asymptotic Distribution of Randomly Weighted Sums and Self-normalized Sums
Peter Kevei, David M. Mason
We consider the self-normalized sums , where are non-negative i.i.d. random variables, and ${X_{i} : i\geq 1…
Asymptotic behavior of critical primitive multi-type branching processes with immigration
Márton Ispány, Gyula Pap
Under natural assumptions a Feller type diffusion approximation is derived for critical multi-type branching processes with immigration when the offspring mean matrix is primitive…
Couplings for irregular combinatorial assemblies
A. D. Barbour, Anna Pósfai
When approximating the joint distribution of the component counts of a decomposable combinatorial structure that is `almost' in the logarithmic class, but nonetheless has irregular…
On signature-based expressions of system reliability
Jean-Luc Marichal, Pierre Mathonet, Tamás Waldhauser
The concept of signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. This concept proved to be useful in the analysis of theoretical behaviors o…