Random loop models and Poisson-Dirichlet distributions101
Spatial random permutations and Poisson Dirichlet law of cycle lengths
... The models considered here are “annealed" in the sense that spatial positions vary and they are integrated ...Annealed models are both simpler and more relevant for the Bose ...“quenched" models, ...
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A numerical study of the 3D random interchange and random loop models
... In random loop models with weights θ #loops , the conjecture holds with ϑ = θ if u = 0, 1, and ϑ = θ/2 if u ∈ (0, ...for models with spatial structure was suggested in [8, ...
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Distributions of Functionals of the two Parameter Poisson-Dirichlet Process
... Note additionally that 0 ≤ παF α,0 (t) ≤ π/2. These points make the inverse tangent operation clear and complete the proof. 6. Distributional results via mixture representations. In this section we describe mixture ...
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Construction of Dependent Dirichlet Processes Based on Poisson Processes
... between Dirichlet and Poisson processes in order to create a Markov chain of Dirichlet processes suitable for use as a prior over evolving mixture ...component models over time while ...
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Conjugacy properties of time evolving Dirichlet and gamma random measures
... under Dirichlet process and gamma random measures priors to a dynamic ...dependent Dirichlet process driven by a Fleming–Viot model, and the data are random samples from the process state at ...
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A Bayesian view of the Poisson-Dirichlet Process
... PDPs and their associated distributions are basically a tool for modelling two kinds of objects: mixture models and partitions. They can then be used to model trees and other hierarchical structures. Section 2 ...
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Two-group Poisson-Dirichlet mixtures for multiple testing
... We exploit the properties of the 2PPD process discussed in Section 2 and propose to specify the hyperparameters of the null and non-null random probability measures in (4) as follows. In accordance with Efron’s ...
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n Kernel orthogonal polynomials on the Dirichlet, Dirichlet Multinomial, Poisson Dirichlet and Ewens sampling distributions, and positive definite sequences
... [18] M. E. H. Ismail. Classical and quantum orthogonal polynomials in one variable, volume 98 of Encyclo- pedia of Mathematics and its Applications. Cambridge University Press, Cambridge, 2005. With two chapters by ...
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Dependence on a collection of Poisson random variables
... integer-valued models can be found in Davis et ...dependent Poisson sequences in time and characterise its marginal dis- tribution and correlation ...
Models beyond the Dirichlet process
... mixture models employed for density estimation and for making inference on the clustering structure of the ...the Dirichlet process is not an adequate prior choice and alternative nonparametric ...
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Models beyond the Dirichlet process
... the Dirichlet process is not an adequate prior choice and alternative nonparametric models need to be ...a Dirichlet prior is used for the survival time distribution, then the posterior, conditional ...
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Dirichlet Process Mixtures of Generalized Linear Models
... There is less research about Bayesian nonparametric models for other response types. Mukhopad- hyay and Gelfand (1997) and Ibrahim and Kleinman (1998) used a DP prior for the random effects portion of a ...
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Poisson random fields for dynamic feature models
... to generate 30 documents at each of 9 time points. The number of features was fixed to 4 and the algorithms were run 3000 iterations with a burn-in period of 300 iterations. Even though all three algorithms approximately ...
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On a generalization of the Dirichlet problem for the Poisson equation
... Abstract In this paper, we investigate a generalization of the Dirichlet problem for the Poisson equation in a rectangular domain. We assume that the kth-order normal derivatives of an unknown function are ...
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On familial longitudinal Poisson mixed models with gamma random effects
... the Poisson–log-normal mixed model, this gamma distribution assumption for the random effects w i ¼ expðg i Þ leads to the exact likelihood inference for b and s 2 ; at a given point of ...the ...
15
Dirichlet type problems for Dunkl-Poisson equations
... Abstract In this paper, using the intertwine relations of differential operators, we study one representation of real analytic functions by Dunkl-harmonic functions, which is a generalization of the well-known Almansi ...
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Dirichlet problem for Poisson equations in Jordan domains
... the Dirichlet problem for the Poisson equations △u(z) = g(z) with g ∈ L p , p > 1, and continuous boundary data φ : ∂D → R in arbitrary Jordan domains D in C and prove the existence of continuous ...
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The Dirichlet problem for the Poisson type equations in the plane
... the Dirichlet problem with arbitrary continuous boundary data in any bounded domains D without de- generate boundary components and give applications to equations of mathematical physics in anisotropic ...
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Ruin probability under compound Poisson models with random discount factor
... compound Poisson model with a constant interest rate+ Renewal-type equations satisfied by the ruin probability, asymptotic expression, and the upper bounds for the ruin probabil- ity were obtained+ Yang and Zhang ...
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Lattice permutations and Poisson Dirichlet distribution of cycle lengths
... enough so that Λ is made up of a large number of mesoscopic boxes. The restriction of π on Λ ′ gives many finite cycles, and open legs that are parts of macroscopic cycles. See Fig. 9 for a schematic picture. Let us ...
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