Displaying similar documents to “Weak convergence of a Dirichlet-multinomial process.”

Nonparametric Bayes decision theory.

Sid R. Dalal (1980)

Trabajos de Estadística e Investigación Operativa

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A summary of the seminar with the same title is presented. Ferguson's fundamental work on the theory of Dirichlet processes is elucidated and their shortcomings are discussed. Some modifications are also proposed and illustrated. Some of the intrincate mathematical issues related to the definitions and the proofs are not discussed for the sake of clarity and brevity. The development related to unimodal processes, briefly mentioned in the last section, will appear as a joint work with...

Change-point problems: A Bayesian nonparametric approach

Pietro Muliere, Marco Scarsini (1985)

Aplikace matematiky

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A change-point problem is examined from a Bayesian viewpoint, under nonparametric hypotheses. A Ferguson-Dirichlet prior is chosen and the posterior distribution is computed for the change-point and for the unknown distribution functions.

Examples of non-local time dependent or parabolic Dirichlet spaces

Niels Jacob (1993)

Colloquium Mathematicae

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In [23] M. Pierre introduced parabolic Dirichlet spaces. Such spaces are obtained by considering certain families ( E ( τ ) ) τ ∈ ℝ of Dirichlet forms. He developed a rather far-reaching and general potential theory for these spaces. In particular, he introduced associated capacities and investigated the notion of related quasi-continuous functions. However, the only examples given by M. Pierre in [23] (see also [22]) are Dirichlet forms arising from strongly parabolic differential operators of second...

Bayesian non-parametric theory: Discussion.

Irving John Good, Joseph B. Kadane, Tom Leonard, Anthony O'Hagan, Adrian F. M. Smith (1980)

Trabajos de Estadística e Investigación Operativa

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Discussion on the paper by Dalal, Sid R., Nonparametric Bayes decision theory, part of a round table on Bayesian non-parametric theory held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).