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This paper presents a methodology for cross-validation in the context of Bayesian modelling of situations we loosely refer to as iverse problems It is motivated by an example from palaeoclimatology ...
Nested sampling estimates directly how the likelihood function relates to prior mass. The evidence (alternatively the marginal likelihood, marginal den- sity of the data, or the prior predictive) is...
In this paper we demonstrate how to use the importance sampling method to simulate rare wmts in a germ-grain model. We analyze conditions under which two gerrn-grain models are mutually absolutely ...
Improvement on Estimating Current Population Ratio in Successive Sampling
On a πps Scheme of Sampling of Two Units。
Given a probability law $pi$ on a set S and a function $g : S rightarrow R$, suppose one wants to estimate the mean $bar{g} = int g dpi$. The Markov Chain Monte Carlo method consists of inventing and ...
A Brownian motion observed at equidistant sampling points renders a random walk with normally distributed increments. For the difference between the expected maximum of the Brownian mo- tion and its s...
We study partition distributions in a population genetics model incorporating symmetric selection and mutation. They generalize Ewens distributions in the infinitely-many-neutral-alleles model, an exp...
A Brownian motion observed at equidistant sampling points renders a random walk with normally distributed increments. For the difference between the expected maximum of the Brownian mo- tion and its s...
We illustrate how a technique from the theory of random iterations of functions can be used within the theory of products of matrices. Using this technique we give a simple proof of a basic theorem ab...
We present a Bayesian sampling algorithm called adaptive importance sampling or Population Monte Carlo (PMC), whose computational workload is easily parallelizable and thus has the potential to consi...
This note presents a simple and elegant sampler which could be used as an alternative to the reversible jump MCMC methodology.
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 ...
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 ...
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...

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