Results 11 to 20 of about 244 (56)

On a Gibbs characterization of normalized generalized Gamma processes [PDF]

open access: yes, 2007
We show that a Gibbs characterization of normalized generalized Gamma processes, recently obtained in Lijoi, Pr\"unster and Walker (2007), can alternatively be derived by exploiting a characterization of exponentially tilted Poisson-Kingman models stated
Cerquetti, Annalisa
core   +1 more source

Some aspects of additive coalescents [PDF]

open access: yes, 2002
We present some aspects of the so-called additive coalescence, with a focus on its connections with random trees, Brownian excursion, certain bridges with exchangeable increments, L\'evy processes, and sticky particle ...
Bertoin, Jean
core   +2 more sources

A phase transition in excursions from infinity of the "fast" fragmentation-coalescence process [PDF]

open access: yes, 2017
An important property of Kingman's coalescent is that, starting from a state with an infinite number of blocks, over any positive time horizon, it transitions into an almost surely finite number of blocks.
Kyprianou, Andreas E.   +3 more
core   +2 more sources

Moments of convex distribution functions and completely alternating sequences

open access: yes, 2006
We solve the moment problem for convex distribution functions on $[0,1]$ in terms of completely alternating sequences. This complements a recent solution of this problem by Diaconis and Freedman, and relates this work to the L\'{e}vy-Khintchine formula ...
Gnedin, Alexander, Pitman, Jim
core   +2 more sources

Shifting processes with cyclically exchangeable increments at random [PDF]

open access: yes, 2014
We propose a path transformation which applied to a cyclically exchangeable increment process conditions its minimum to belong to a given interval. This path transformation is then applied to processes with start and end at zero. It is seen that, under
Bravo, Gerónimo Uribe, Chaumont, Loïc
core   +6 more sources

Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie--Weiss model

open access: yes, 2010
Let $(W,W')$ be an exchangeable pair. Assume that \[E(W-W'|W)=g(W)+r(W),\] where $g(W)$ is a dominated term and $r(W)$ is negligible. Let $G(t)=\int_0^tg(s)\,ds$ and define $p(t)=c_1e^{-c_0G(t)}$, where $c_0$ is a properly chosen constant and $c_1=1 ...
Chatterjee, Sourav, Shao, Qi-Man
core   +2 more sources

A generalization of the Lindeberg principle

open access: yes, 2006
We generalize Lindeberg's proof of the central limit theorem to an invariance principle for arbitrary smooth functions of independent and weakly dependent random variables.
Chatterjee, Sourav
core   +3 more sources

Structure of 1-RSB asymptotic Gibbs measures in the diluted p-spin models [PDF]

open access: yes, 2013
In this paper we study asymptotic Gibbs measures in the diluted p-spin models in the so called 1-RSB case, when the overlap takes two values $q_*, q^*\in [0,1].$ When the external field is not present and the overlap is not equal to zero, we prove that ...
Panchenko, Dmitry
core   +1 more source

Sharp bounds on the survival function of exchangeable min-stable multivariate exponential sequences

open access: yesDependence Modeling
We derive lower and upper bounds for the survival function of an exchangeable sequence of random variables, for which the scaled minimum of each finite subgroup has a univariate exponential distribution.
Mai Jan-Frederik
doaj   +1 more source

A Species Sampling Model with Finitely many Types

open access: yes, 2010
A two-parameter family of exchangeable partitions with a simple updating rule is introduced. The partition is identified with a randomized version of a standard symmetric Dirichlet species-sampling model with finitely many types.
Gnedin, Alexander
core   +1 more source

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