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135
Moderate deviations for PoissonDirichlet distribution
, 2007
"... PoissonDirichlet distribution arises in many different areas. The parameter θ in the distribution is the scaled mutation rate of a population in the context of population genetics. The limiting procedure of θ approaching infinity is practically motivated and has led to new interesting mathematical ..."
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Cited by 2 (2 self)
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PoissonDirichlet distribution arises in many different areas. The parameter θ in the distribution is the scaled mutation rate of a population in the context of population genetics. The limiting procedure of θ approaching infinity is practically motivated and has led to new interesting mathematical
Asymptotic Results for the Twoparameter PoissonDirichlet Distribution
, 906
"... The twoparameter PoissonDirichlet distribution is the law of a sequence of decreasing nonnegative random variables with total sum one. It can be constructed from stable and Gamma subordinators with the twoparameters, α and θ, corresponding to the stable component and Gamma component respectively. ..."
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Cited by 1 (0 self)
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The twoparameter PoissonDirichlet distribution is the law of a sequence of decreasing nonnegative random variables with total sum one. It can be constructed from stable and Gamma subordinators with the twoparameters, α and θ, corresponding to the stable component and Gamma component respectively
Large deviations for PoissonDirichlet distributions with two parameters
, 2008
"... Large deviation principles are established for the twoparameter PoissonDirichlet distribution and twoparameter Dirichlet process when parameter θ approaches infinity. The motivation for these results is to understand the differences in terms of large deviations between the twoparameter models an ..."
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Large deviation principles are established for the twoparameter PoissonDirichlet distribution and twoparameter Dirichlet process when parameter θ approaches infinity. The motivation for these results is to understand the differences in terms of large deviations between the twoparameter models
The PoissonDirichlet distribution and the scaleinvariant Poisson process
 COMBIN. PROBAB. COMPUT
, 1999
"... We show that the Poisson–Dirichlet distribution is the distribution of points in a scaleinvariant Poisson process, conditioned on the event that the sum T of the locations of the points in (0,1] is 1. This extends to a similar result, rescaling the locations by T, and conditioning on the event that ..."
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Cited by 13 (4 self)
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We show that the Poisson–Dirichlet distribution is the distribution of points in a scaleinvariant Poisson process, conditioned on the event that the sum T of the locations of the points in (0,1] is 1. This extends to a similar result, rescaling the locations by T, and conditioning on the event
The PoissonDirichlet Distribution And Its Relatives Revisited
, 2001
"... The PoissonDirichlet distribution and its marginals are studied, in particular the largest component, that is Dickman's distribution. Sizebiased sampling and the GEM distribution are considered. Ewens sampling formula and random permutations, generated by the Chinese restaurant process, are a ..."
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Cited by 14 (0 self)
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The PoissonDirichlet distribution and its marginals are studied, in particular the largest component, that is Dickman's distribution. Sizebiased sampling and the GEM distribution are considered. Ewens sampling formula and random permutations, generated by the Chinese restaurant process
A DYNAMICAL CHARACTERIZATION OF POISSONDIRICHLET DISTRIBUTIONS
, 2007
"... Abstract. We show that a slight modification of a theorem of Ruzmaikina and Aizenman on competing particle systems on the real line leads to a characterization of PoissonDirichlet distributions PD(α,0). Precisely, let ξ be a proper random masspartition i.e. a random sequence (ξi, i ∈ N) such that ..."
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Abstract. We show that a slight modification of a theorem of Ruzmaikina and Aizenman on competing particle systems on the real line leads to a characterization of PoissonDirichlet distributions PD(α,0). Precisely, let ξ be a proper random masspartition i.e. a random sequence (ξi, i ∈ N
PoissonDirichlet distribution for random Belyi surfaces
 Ann. Probab
, 2006
"... Abstract. Brooks and Makover introduced an approach to studying the global geometric quantities (in particular, the first eigenvalue of the Laplacian, injectivity radius and diameter) of a “typical” compact Riemann surface of large genus based on compactifying finitearea Riemann surfaces associated ..."
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Cited by 8 (0 self)
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conjectured that asymptotically normalized cycles lengths follow PoissonDirichlet distribution. We present a proof of this conjecture using representation theory of the symmetric group. Consequently we also make progress towards a conjecture of Pippenger and Schleich which arose in the study of topological
A DYNAMICAL CHARACTERIZATION OF POISSONDIRICHLET DISTRIBUTIONS
, 2007
"... Abstract. In this note, we show that a slight modification of a theorem of Ruzmaikina and Aizenman on competing particle systems on the real line leads to a characterization of PoissonDirichlet distributions PD(α, 0). Precisely, let ξ be a proper random masspartition i.e. a random sequence (ξi, i ..."
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Cited by 8 (3 self)
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Abstract. In this note, we show that a slight modification of a theorem of Ruzmaikina and Aizenman on competing particle systems on the real line leads to a characterization of PoissonDirichlet distributions PD(α, 0). Precisely, let ξ be a proper random masspartition i.e. a random sequence (ξi, i
The twoparameter PoissonDirichlet distribution derived from a stable subordinator.
, 1995
"... The twoparameter PoissonDirichlet distribution, denoted pd(ff; `), is a distribution on the set of decreasing positive sequences with sum 1. The usual PoissonDirichlet distribution with a single parameter `, introduced by Kingman, is pd(0; `). Known properties of pd(0; `), including the Markov ..."
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Cited by 356 (33 self)
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The twoparameter PoissonDirichlet distribution, denoted pd(ff; `), is a distribution on the set of decreasing positive sequences with sum 1. The usual PoissonDirichlet distribution with a single parameter `, introduced by Kingman, is pd(0; `). Known properties of pd(0; `), including the Markov
LARGE DEVIATIONS ASSOCIATED WITH POISSON–DIRICHLET DISTRIBUTION AND EWENS SAMPLING FORMULA
, 710
"... Several results of large deviations are obtained for distributions that are associated with the Poisson–Dirichlet distribution and the Ewens sampling formula when the parameter θ approaches infinity. The motivation for these results comes from a desire of understanding the exact meaning of θ going t ..."
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Cited by 6 (4 self)
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Several results of large deviations are obtained for distributions that are associated with the Poisson–Dirichlet distribution and the Ewens sampling formula when the parameter θ approaches infinity. The motivation for these results comes from a desire of understanding the exact meaning of θ going
Results 1  10
of
135