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ON INCONSISTENT BAYES ESTIMATES IN THE DISCRETE CASE
Probability distribution integer mixture dirichlet
2015/7/14
Consider sampling from an unknown probability distribution on the
integers. With a tail-free prior, the posterior distribution is consistent. With
a mixture of a tail-free prior and a point mass, ...
Tunneling and Metastability of continuous time Markov chains II, the nonreversible case
Metastability Tunneling Markov processes
2012/5/25
We proposed in \cite{bl2} a new approach to prove the metastable behavior of reversible dynamics based on potential theory and local ergodicity. In this article we extend this theory to nonreversible ...
Large deviations for truncated heavy-tailed random variables: a boundary case
heavy tails truncation regular variation large deviation
2011/9/6
Abstract: This paper investigates the decay rate of the probability that the row sum of a triangular array of truncated heavy tailed random variables is larger than an integer (k) times the truncating...
A branching diffusion model of selection: from the neutral Wright-Fisher case to the one including mutations
Diffusions Doob transform killing, branching quasi-stationarity Wright-Fisher model neutral or with mutation selection
2011/10/8
Abstract: We consider diffusion processes x_{t} on the unit interval. Doob-transformation techniques consist of a selection of x_{t}-paths procedure. The law of the transformed process is the one of a...
A case of combination of evidence in the Dempster-Shafer theory inconsistent with evaluation of probabilities
data fusion Dempster-Shafer theory evidence accumulation probability uncertainty
2011/8/22
Abstract: The Dempster-Shafer theory of evidence accumulation is one of the main tools for combining data obtained from multiple sources. In this paper a special case of combination of two bodies of e...