Dirichlet invariant processes and applications to nonparametric estimation of symmetric distribution functions

DOI10.1016/0304-4149(79)90043-7zbMath0415.60035OpenAlexW2081212329MaRDI QIDQ600159

Siddhartha R. Dalal

Publication date: 1979

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(79)90043-7

zbMATH Keywords

Dirichlet processespriorsBayes estimateminimax estimate

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Foundations and philosophical topics in statistics (62A01) General theory of stochastic processes (60G07)

Related Items

A Pólya urn model with a continuum of colors, Nonparametric empirical bayes estimation of the distribution function and the mean, Nonparametric Bayesian inference in applications, Bayes estimates of estimable parameters with a direchlet invariant process, A general guide in Bayesian and robust Bayesian estimation using Dirichlet processes, Nonparametric bayes estimates of estimable parameters with a dirichlet invarant process and inveriant u-statistics, Model selection for maternal hypertensive disorders with symmetric hierarchical Dirichlet processes, Kernel based Dirichlet sequences, Estimacion parametrica Bayesiana no parametrica de funciones de supervivencias con observaciones parcialmente censuradas, Theory and computations for the Dirichlet process and related models: an overview, Bayesian estimation in the symmetric location problem, Bayesian bootstrapping for symmetric distributions, Nonparametric Bayesian data analysis, Nonparametric Bayesian modelling using skewed Dirichlet processes, A Bayesian semi-parametric approach to the ordinal calibration problem, Dirichlet process and its developments: a survey, Convergence of dirichlet invariant measures and the limits of bayes estimates, A Bayesian non-parametric estimate for multivariate regression

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On approximating parametric Bayes models by nonparametric Bayes models
• Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems
• Prior distributions on spaces of probability measures
• Minimax estimation of a cumulative distribution function
• A Bayesian analysis of some nonparametric problems
• Invariance Theory and a Modified Minimax Principle
• A Representation of Independent Increment Processes without Gaussian Components
• Some Minimax Invariant Procedures for Estimating a Cumulative Distribution Function