Random Discrete Distributions Derived from Self-Similar Random Sets
نویسندگان
چکیده
منابع مشابه
Random Discrete Distributions Derived from Self-similar Random Sets
A model is proposed for a decreasing sequence of random variables (V 1 ; V 2 ;) with P n V n = 1, which generalizes the Poisson-Dirichlet distribution and the distribution of ranked lengths of excursions of a Brow-nian motion or recurrent Bessel process. Let V n be the length of the nth longest component interval of 0; 1]nZ, where Z is an a.s. non-empty random closed of (0; 1) of Lebesgue measu...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 1996
ISSN: 1083-6489
DOI: 10.1214/ejp.v1-4