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Seminars in Statistics Judith Rousseau (Université Paris Dauphine)

Behaviour of the posterior distribution in HMM models when the number of states is misspecified In this paper we study the asymptotic behaviour of the posterior distribution for parametric HMM models with finite number of components. We concentrate in particular on the case where the number of states of the hidden Markov chain in the…

Seminars in Statistics Dario Spanò (University of Warwick)

On the ancestral process of long-range seed bank models It has been observed that, in some bacterial species, spores may remain dormant for a long time, to wake up much later, even up to "order of population size" generations later. When they wake up, they can still participate in the population's reproduction. This incredibly relaxed…

Seminars in Statistics Christina Goldschmidt (University of Oxford)

The scaling limit of the minimum spanning tree of the complete graph Consider the complete graph on n vertices with independent and identically distributed edge-weights having some absolutely continuous distribution. The minimum spanning tree (MST) is simply the spanning subtree of smallest weight.  It is straightforward to construct the MST using one of several natural…

Carole Bernard (University of Waterloo, Canada)

"Optimal Payoffs under State-dependent Constraints" abstract Most decision theories including expected utility theory, rank dependent utility theory and the cumulative prospect theory assume that investors are only interested in the distribution of returns and not about the states of the economy in which income is received. Optimal payoffs have theirlowest outcomes when the economy is in a downturn, and…