A two-parameter family of measure-valued diffusions with Poisson–Dirichlet stationary distributions

A two-parameter family of measure-valued diffusions with Poisson–Dirichlet stationary distributions

We give a pathwise construction of a two-parameter family of purely-atomic-measure-valued diffusions in which ranked masses of atoms are stationary with the Poisson–Dirichlet(α,θ) distributions, for α∈(0,1) and θ≥0. These processes resolve a conjecture of Feng and Sun (Probab. Theory Related Fields...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Forman, N, Rizzolo, D, Shi, Q, Winkel, M
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	Institute of Mathematical Statistics 2022

Eitemau Tebyg

Diffusions on a space of interval partitions: Poisson-Dirichlet stationary distributions
gan: Forman, N, et al.
Cyhoeddwyd: (2021)

Diffusions on a space of interval partitions: the two-parameter model
gan: Forman, N, et al.
Cyhoeddwyd: (2023)

Ranked masses in two-parameter Fleming-Viot diffusions
gan: Forman, N, et al.
Cyhoeddwyd: (2022)

REGENERATIVE TREE GROWTH: BINARY SELF-SIMILAR CONTINUUM RANDOM TREES AND POISSON-DIRICHLET COMPOSITIONS
gan: Pitman, J, et al.
Cyhoeddwyd: (2009)

Diffusion on a space of interval partitions: Construction from marked Lévy processes
gan: Forman, N, et al.
Cyhoeddwyd: (2020)

Coagulation--fragmentation duality, Poisson--Dirichlet distributions and random recursive trees
gan: Dong, R, et al.
Cyhoeddwyd: (2005)

On Some Stationary INAR(1) Processes with Compound Poisson Distributions
gan: Emad-Eldin A. A. Aly, et al.
Cyhoeddwyd: (2023-07-01)

Construction of Dependent Dirichlet Processes Based on Poisson Processes
gan: Lin, Dahua, et al.
Cyhoeddwyd: (2012)

Iterated Dirichlet problem for the higher order Poisson equation
gan: H. Begehr, et al.
Cyhoeddwyd: (2008-05-01)

The dirichlet problem in the 2d stationary anisotropic thermoelasticity
gan: Yurii A Bogan
Cyhoeddwyd: (2010-06-01)

The Dirichlet Problem in the 2D Stationary Anisotropic Thermoelasticity
gan: Yu. A. Bogan
Cyhoeddwyd: (2010-06-01)

Small Area Estimation under Poisson–Dirichlet Process Mixture Models
gan: Xiang Qiu, et al.
Cyhoeddwyd: (2024-06-01)

Parameter Estimation of the Dirichlet Distribution Based on Entropy
gan: Büşra Şahin, et al.
Cyhoeddwyd: (2023-10-01)

Value Distribution of General Dirichlet series. VI
gan: A. Laurinčikas
Cyhoeddwyd: (2005-07-01)

Segmentation algorithm for non-stationary compound Poisson processes
gan: Tóth, B, et al.
Cyhoeddwyd: (2010)

Segmentation algorithm for non-stationary compound Poisson processes
gan: Toth, B, et al.
Cyhoeddwyd: (2010)

Stationary solutions of the Schrödinger-Poisson-Euler system and their stability
gan: Iván Álvarez-Rios, et al.
Cyhoeddwyd: (2023-08-01)

CHARACTERISTICS OF AN ALGORITM FOR NON-STATIONARY POISSON PROCESS ESTIMATION
gan: G.M. Vodinchar
Cyhoeddwyd: (2012-06-01)

Single-Block Recursive Poisson–Dirichlet Fragmentations of Normalized Generalized Gamma Processes
gan: Lancelot F. James
Cyhoeddwyd: (2022-02-01)

The Kumaraswamy-G Poisson Family of Distributions
gan: Manoel Wallace A. Ramos, et al.
Cyhoeddwyd: (2015-08-01)

Metrics on sets of interval partitions with diversity
gan: Forman, N, et al.
Cyhoeddwyd: (2020)

Uniform control of local times of spectrally positive stable processes
gan: Forman, N, et al.
Cyhoeddwyd: (2018)

Projections of the Aldous chain on binary trees: Intertwining and consistency
gan: Forman, N, et al.
Cyhoeddwyd: (2020)

Stationary solutions for a Schrodinger-Poisson system in R^3
gan: Khalid Benmlih
Cyhoeddwyd: (2002-12-01)

Smoothed Dirichlet Distribution
gan: Lahiru Wickramasinghe, et al.
Cyhoeddwyd: (2023-09-01)

McDonald-G Poisson Family of Distributions
gan: Keshav Pokhrel, et al.
Cyhoeddwyd: (2023-04-01)

Posterior Estimates for the Parameter of the Poisson Distribution by Using Two Different Loss Functions
gan: Jinan A. Naser Al-obedy
Cyhoeddwyd: (2022-01-01)

An approximation scheme for quasi-stationary distributions of killed diffusions
gan: Wang, A, et al.
Cyhoeddwyd: (2019)

Bayesian Approaches for Poisson Distribution Parameter Estimation
gan: Yadpirun Supharakonsakun
Cyhoeddwyd: (2021-10-01)

Laplace’s and Poisson’s Equations in a Semi-Disc under the Dirichlet-Neumann Mixed Boundary Condition
gan: R. T. Couto
Cyhoeddwyd: (2023-05-01)

Globally Existing Solutions to the Problem of Dirichlet for the Fractional 3<i>D</i> Poisson Equation
gan: Toshko Boev, et al.
Cyhoeddwyd: (2023-02-01)

ON A REPRESENTATION OF THE SOLUTION TO THE DIRICHLET PROBLEM IN A DISK. THE POISSON INTEGRAL BASED SOLUTION IN POLYNOMIALS
gan: Vladimir L. Borsch, et al.
Cyhoeddwyd: (2018-04-01)

On Dirichlet's boundry value problem /
gan: 356768 Simader, Christian O.
Cyhoeddwyd: (1972)

A note on a 3-dimensional stationary Schrodinger-Poisson system
gan: Khalid Benmlih
Cyhoeddwyd: (2004-02-01)

A Generalization of the Dirichlet Distribution
gan: Robin K. S. Hankin
Cyhoeddwyd: (2010-02-01)

Bayesian Estimation of Parameters Correlation of Bivariate Poisson Distribution
gan: Farzad Eskandari
Cyhoeddwyd: (2016-03-01)

Empirical E-Bayesian estimation for the parameter of Poisson distribution
gan: Heba S. Mohammed
Cyhoeddwyd: (2021-05-01)

A hybrid word embedding model based on admixture of poisson-gamma latent dirichlet allocation model and distributed word-document- topic representation
gan: Bala, Ibrahim Bakari, et al.
Cyhoeddwyd: (2020)

Spatial Poisson Models of Stationary Storm Rainfall: Parameterization, Evaluation and Numerical Simulation
gan: Fennessey, Neil M., et al.
Cyhoeddwyd: (2022)

On the Role of Diffusion Behaviors in Stability Criterion for p-Laplace Dynamical Equations with Infinite Delay and Partial Fuzzy Parameters under Dirichlet Boundary Value
gan: Ruofeng Rao, et al.
Cyhoeddwyd: (2013-01-01)