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A Gibbs Sampling Alternative to Reversible Jump MCMC
Gibbs sampler Model switching Variable dimension
2010/3/18
This note presents a simple and elegant sampler which
could be used as an alternative to the reversible jump MCMC methodology.
Gibbs Sampling，Exponential Families and Orthogonal Polynomials
Gibbs sampler running time analyses exponential families conjugate priors location families orthogonal polynomials
2010/4/30
We give families of examples where sharp rates of convergence
to stationarity of the widely used Gibbs sampler are available.
The examples involve standard exponential families and their conjugate
...
Comment：Gibbs Sampling，Exponential Families and Orthogonal Polynomials
Comment Gibbs Sampling Exponential Families Orthogonal Polynomials
2010/4/30
Let K be a reversible Markov kernel on a measurable
space (S,B) with stationary distribution P.
Regard K as a linear operator, K:L2(P)→L2(P),
and suppose that L2(P) admits an orthonormal basis
of ...
Comment：Lancaster Probabilities and Gibbs Sampling
Comment Lancaster Probabilities Gibbs Sampling
2010/4/30
It is a pleasure to congratulate the authors for
this excellent, original and pedagogical paper. I read
a preliminary draft at the end of 2006 and I then
mentioned to the authors that their work sh...
Rejoinder：Gibbs Sampling，Exponential Families and Orthogonal Polynomials
Rejoinder Gibbs Sampling Exponential Families Orthogonal Polynomials
2010/4/30
We are thankful to the discussants for their hard, interesting
work. The main purpose of our paper was to give reasonably sharp rates
of convergence for some simple examples of the Gibbs sampler. We...