1.2k citations
- National Institute for Subatomic PhysicsNL24 papers
- Pennsylvania State UniversityUS24 papers
- University of California, BerkeleyUS23 papers
- Tsinghua UniversityCN21 papers
- University of California, Los AngelesUS20 papers
- The University of Texas at AustinUS19 papers
- Lawrence Berkeley National LaboratoryUS18 papers
- University of AmsterdamNL18 papers
- Argonne National LaboratoryUS17 papers
- Centre National de la Recherche ScientifiqueFR17 papers
- Institute for High Energy PhysicsES17 papers
- Institute of Engineering PhysicsRU17 papers
13 papers · 1 filter
Small counts in the infinite occupancy scheme
A. D. Barbour, A. V. Gnedin
The paper is concerned with the classical occupancy scheme with infinitely many boxes, in which balls are thrown independently into boxes , with probability of h…
Moment problems and boundaries of number triangles
Alexander Gnedin, Jim Pitman
The boundary problem for graphs like Pascal's but with general multiplicities of edges is related to a `backward' problem of moments of the Hausdorff type.
A two-dimensional ruin problem on the positive quadrant
Florin Avram, Zbigniew Palmowski, Martijn Pistorius
In this paper we study the joint ruin problem for two insurance companies that divide between them both claims and premia in some specified proportions (modeling two branches of th…
Corners and Records of the Poisson Process in Quadrant
Alexander Gnedin
The scale-invariant spacings lemma due to Arratia, Barbour and Tavar{é} establishes the distributional identity of a self-similar Poisson process and the set of spacings between th…
On the number of collisions in -coalescents
Alexander Gnedin, Yuri Yakubovich
We examine the total number of collisions in the -coalescent process which starts with particles. A linear growth and a stable limit law for are shown under the…
Self-similar and Markov composition structures
Alexander Gnedin, Jim Pitman
The bijection between composition structures and random closed subsets of the unit interval implies that the composition structures associated with for a self-simila…