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Exact Inference for Random Dirichlet Means

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Convergence of Probability Measures
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Algebraic Properties of Beta and Gamma Distributions, and Applications
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Computing Nonparametric Hierarchical Models
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Computational Methods for Mixture of Dirichlet Process Models
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Asymptotics in Statistics
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Probability with a View Toward Statistics
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An introduction to probability theory and its applications
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Applied and computational complex analysis
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CONVERGENCE OF DIRICHLET MEASURES AND THE INTERPRETATION OF THEIR PARAMETER11Research supported by the U.S. Army Research Office under Grant no. DAAG 29-79-C-0158. The United States Government is authorized to reproduce and distribute reprints for governmental purposes.
inferredcites →https://doi.org/10.1016/b978-0-12-589320-6.50018-6openalex-snapshot
BAYESIAN DENSITY ESTIMATION BY MIXTURES OF NORMAL DISTRIBUTIONS11This research was partially supported by the National Science Foundation under Grant MCS77-2121.
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Size-biased sampling and discrete nonparametric Bayesian inference
inferredcites →https://doi.org/10.1016/j.spl.2005.08.036openalex-snapshot
A stochastic equation for the law of the random Dirichlet variance
inferredcites →https://doi.org/10.1016/s0079-8169(08)x6050-7openalex-snapshot
An Introduction to Transform Theory
inferredcites →https://doi.org/10.1016/s0167-7152(98)00034-0openalex-snapshot
A simple procedure calculating the generalized Stieltjes transform of the mean of a Dirichlet process
inferredcites →https://doi.org/10.1016/s0304-4149(97)00072-0openalex-snapshot
Present value distributions with applications to ruin theory and stochastic equations
inferredcites →https://doi.org/10.1017/s0305004100077951openalex-snapshot
Linear functionals and Markov chains associated with Dirichlet processes
inferredcites →https://doi.org/10.1023/b:joth.0000024616.50649.89openalex-snapshot
The Markov–Krein Correspondence in Several Dimensions
inferredcites →https://doi.org/10.1080/01621459.1994.10476468openalex-snapshot
Estimating Normal Means with a Dirichlet Process Prior
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Bayesian Density Estimation and Inference Using Mixtures
inferredcites →https://doi.org/10.1080/03610919408813196openalex-snapshot
Estimating normal means with a conjugate style dirichlet process prior
inferredcites →https://doi.org/10.1090/trans2/181/02openalex-snapshot
Interlacing measures
inferredcites →https://doi.org/10.1093/oso/9780198510550.003.0044openalex-snapshot
Topics in non-parametric Bayesian statistics
inferredcites →https://doi.org/10.1093/oso/9780198523567.003.0005openalex-snapshot
Some New Tools for Dirichlet Priors
inferredcites →https://doi.org/10.1093/oso/9780198523567.003.0013openalex-snapshot
Bayesian Approaches to Non- and Semiparametric Density Estimation
inferredcites →https://doi.org/10.1111/1467-9868.00190openalex-snapshot
Bayesian Nonparametric Inference for Random Distributions and Related Functions
inferredcites →https://doi.org/10.1198/016214501750332758openalex-snapshot
Gibbs Sampling Methods for Stick-Breaking Priors
inferredcites →https://doi.org/10.1198/106186002760180527openalex-snapshot
Perfect Simulation Involving Functionals of a Dirichlet Process
inferredcites →https://doi.org/10.1201/9780203742013openalex-snapshot
Probability With a View Towards Statistics, Volume I
inferredcites →https://doi.org/10.1214/009117904000000270openalex-snapshot
Means of a Dirichlet process and multiple hypergeometric functions
inferredcites →https://doi.org/10.1214/aop/1176993389openalex-snapshot
Characteristic Functions of Means of Distributions Chosen from a Dirichlet Process
inferredcites →https://doi.org/10.1214/aop/1176994373openalex-snapshot
Distributional Results for Random Functionals of a Dirichlet Process
inferredcites →https://doi.org/10.1214/aos/1015957399openalex-snapshot
Some new results for Dirichlet priors
inferredcites →https://doi.org/10.1214/aos/1035844980openalex-snapshot
Theory and numerical analysis for exact distributions of functionals of a Dirichlet process
inferredcites →https://doi.org/10.1214/aos/1176342360openalex-snapshot
A Bayesian Analysis of Some Nonparametric Problems
inferredcites →https://doi.org/10.1214/aos/1176342752openalex-snapshot
Prior Distributions on Spaces of Probability Measures
inferredcites →https://doi.org/10.1214/aos/1176342871openalex-snapshot
Mixtures of Dirichlet Processes with Applications to Bayesian Nonparametric Problems
inferredcites →https://doi.org/10.1214/aos/1176346412openalex-snapshot
On a Class of Bayesian Nonparametric Estimates: I. Density Estimates
inferredcites →https://doi.org/10.1214/aos/1176347509openalex-snapshot
Distribution Functions of Means of a Dirichlet Process
inferredcites →https://doi.org/10.1214/aos/1176347749openalex-snapshot
Nonparametric Bayes Estimators Based on Beta Processes in Models for Life History Data
inferredcites →https://doi.org/10.1214/aos/1176348252openalex-snapshot
Approximation of Density Functions by Sequences of Exponential Families
inferredcites →https://doi.org/10.21236/ada238689openalex-snapshot
A Constructive Definition of Dirichlet Priors
inferredcites →https://doi.org/10.2307/2005805openalex-snapshot
Applied and Computational Complex Analysis
inferredcites →https://doi.org/10.2307/2314609openalex-snapshot
An Introduction to Probability Theory and Its Applications.
inferredcites →https://doi.org/10.2307/2332796openalex-snapshot
Characteristic Functions.
inferredcites →https://doi.org/10.2307/3315951openalex-snapshot
Exact and approximate sum representations for the Dirichlet process
inferredcites →https://doi.org/10.2307/3318726openalex-snapshot
Markov Chain Monte Carlo Estimation of the Law of the Mean of a Dirichlet Process
inferredcites →https://doi.org/10.2307/3318727openalex-snapshot
Martingale Convergence and the Functional Equation in the Multi-Type Branching Random Walk
inferredcites →https://doi.org/10.48550/arxiv.2604.17160openalex-snapshot
Bayesian analysis for a generalised Dirichlet process prior
inferredcites →https://doi.org/10.48550/arxiv.2605.11677openalex-snapshot
Bayesian and Empirical Bayesian Bootstrapping

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Models Beyond the Dirichlet Process
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A stochastic equation for the law of the random Dirichlet variance
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Models beyond the Dirichlet process
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Dirichlet Random Walks
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Post-Processing Posterior Predictive p Values
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Distributions of linear functionals of two parameter Poisson–Dirichlet random measures
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Generalized Gamma Convolutions, Dirichlet means, Thorin measures, with explicit examples
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Distributional properties of means of random probability measures
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Moment Recursions for Dirichlet Process Mean Functionals
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Distribution of a random functional of a Ferguson-Dirichlet process over the unit sphere
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Dirichlet Random Walks
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