Bayesian analysis of the multivariate poisson distribution

DOI10.1080/03610929908832305zbMath0920.62038OpenAlexW2063247399MaRDI QIDQ4237870

Efthymios G. Tsionas

Publication date: 21 September 1999

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929908832305

zbMATH Keywords

Gibbs samplingdata augmentationmultivariate probability mass function

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Bayesian inference (62F15) Probabilistic methods, stochastic differential equations (65C99)

Related Items (8)

Finite mixtures of multivariate Poisson distributions with application ⋮ BAYESIAN MULTIVARIATE POISSON REGRESSION ⋮ A multivariate Poisson model based on comonotonic shocks ⋮ Bayesian local bandwidths in a flexible semiparametric kernel estimation for multivariate count data with diagnostics ⋮ Modelling the covariance structure in marginal multivariate count models: hunting in Bioko Island ⋮ Some contributions on the multivariate Poisson–Skellam probability distribution ⋮ Unnamed Item ⋮ Numerical Bayesian inference with arbitrary prior

Cites Work

• A note on the recurrent relations for the bivariate Poisson distribution
• Calculation of density for the multivariate Poisson distribution
• The structure of multivariate Poisson distribution
• Endpoint bounds for an analytic family of Hilbert transforms
• Simple conditions for the convergence of the Gibbs sampler and Metropolis-Hastings algorithms
• Analysis, classification, and coding of multielectrode spike trains with hidden Markov models
• Weak convergence and optimal scaling of random walk Metropolis algorithms
• Inference from iterative simulation using multiple sequences
• From Metropolis to diffusions: Gibbs states and optimal scaling.
• Markov chains for exploring posterior distributions. (With discussion)
• Objections to Bayesian statistics
• On Infinitely Divisible Random Vectors
• Practical Markov Chain Monte Carlo
• On recurrence relations for the probability function of multivariate generalized poisson distribution
• Conditional even point estimation for bivariate discrete distributions
• Estimation in the bivariate poisson distribution and hypothesis testing concerning independence
• Sampling-Based Approaches to Calculating Marginal Densities
• The Index of Dispersion Test for the Bivariate Poisson Distribution
• The structure of trivariate Poisson distribution
• Computational complexity of Markov chain Monte Carlo methods for finite Markov random fields
• On computer sampling from trivariate and multivariate discrete distributions
• The Poisson Correlation Function
• Bayesian Analysis of Linear and Non-Linear Population Models by Using the Gibbs Sampler
• Estimation for the bivariate Poisson distribution

This page was built for publication: Bayesian analysis of the multivariate poisson distribution