Displaying similar documents to “Distribution of a random functional of a Ferguson-Dirichlet process over the unit sphere.”

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...

Reversed Dirichlet environment and directional transience of random walks in Dirichlet environment

Christophe Sabot, Laurent Tournier (2011)

Annales de l'I.H.P. Probabilités et statistiques

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We consider random walks in a random environment given by i.i.d. Dirichlet distributions at each vertex of ℤ or, equivalently, oriented edge reinforced random walks on ℤ. The parameters of the distribution are a 2-uplet of positive real numbers indexed by the unit vectors of ℤ. We prove that, as soon as these weights are nonsymmetric, the random walk is transient in a direction (i.e., it satisfies  ⋅  → +∞ for some ) with positive probability. In dimension 2, this result...

Growth of coefficients of universal Dirichlet series

A. Mouze (2007)

Annales Polonici Mathematici

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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.