Markov Chains for Exploring Posterior Distributions

Optimization by Simulated Annealing

1983 • 42,775 citations

Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images

1984 • 17,865 citations

Monte Carlo sampling methods using Markov chains and their applications

1970 • 14,060 citations

Sampling-Based Approaches to Calculating Marginal Densities

1990 • 6,498 citations

Markov Chains and Stochastic Stability

1993 • 5,311 citations

Monte Carlo methods

1964 • 3,128 citations

Finite Markov chains

1976 • 2,965 citations

Nonuniversal critical dynamics in Monte Carlo simulations

1987 • 2,723 citations

Evaluating the Accuracy of Sampling-Based Approaches to the Calculation of Posterior Moments

1991 • 2,548 citations

A Course in Functional Analysis.

1986 • 2,517 citations

Stochastic Simulation

1987 • 1,835 citations

Bayesian Inference in Econometric Models Using Monte Carlo Integration

1989 • 1,616 citations

A guide to simulation

1983 • 1,015 citations

Generalized Linear Models with Random Effects; a Gibbs Sampling Approach

1991 • 925 citations

Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions

1986 • 835 citations

General Irreducible Markov Chains and Non-Negative Operators.

1985 • 649 citations

Efficient Monte Carlo Procedures for Generating Points Uniformly Distributed over Bounded Regions

1984 • 550 citations

Optimum Monte-Carlo sampling using Markov chains

1973 • 534 citations

A guide to simulation (2nd ed.)

1986 • 520 citations

Fully Exponential Laplace Approximations to Expectations and Variances of Nonpositive Functions

1989 • 325 citations

Monte Carlo Calculations of the Radial Distribution Functions for a Proton?Electron Plasma

1965 • 257 citations

Bayesian analysis of dichotomous quantal response models

1984 • 190 citations

Tools for Statistical Inference: Observed Data and Data Augmentation Methods.

1992 • 185 citations

The existence of moments for stationary Markov chains

1983 • 159 citations

Spatial statistics and Bayesian computation (with discussion)

1993 • 126 citations

On the Geometric Convergence of the Gibbs Sampler

1994 • 108 citations

Robust Empirical Bayes Analyses of Event Rates

1987 • 108 citations

On the Convergence of Successive Substitution Sampling

1992 • 96 citations

The Efficiency of One Long Run Versus Independent Replications in Steady-State Simulation

1991 • 86 citations

Monte Carlo Estimation of Mixed Models for Large Complex Pedigrees

1994 • 80 citations

Evaluation of Likelihood Ratios for Complex Genetic Models

1991 • 80 citations

Exploring Posterior Distributions Using Markov Chains

1992 • 67 citations

Asymptotic Behavior of the Gibbs Sampler

1993 • 67 citations

An iterative Monte Carlo method for nonconjugate Bayesian analysis

1991 • 64 citations

An Analytical Evaluation of Alternative Strategies in Steady-State Simulation

1984 • 58 citations

Persistent random walks in random environment

1986 • 45 citations

A note on the geometric ergodicity of a Markov chain

1989 • 44 citations

The central limit theorem for Markov processes

1972 • 41 citations

Multiparameter Univariate Bayesian Analysis

1979 • 22 citations