Marc Yor used to say that “Bessel processes are everywhere”. Partly in  J. Pitman, M. Yor, Bessel processes and infinitely divisible laws. BESSEL PROCESSES AND INFINITELY DIVISIBLE LAWS by. Jim PITMAN and Marc YOR (n). 1. INTRODUCTION. In recent years there has been a renewed. Theorem (Lévy–Khintchine formula) A probability law µ of a real- . To conclude our introduction to Lévy processes and infinite divisible distribu- tions, let us .. for x ∈ R where α,δ > 0, β ≤ |α| and K1(x) is the modified Bessel function of.
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The problem of the random walk – Potential theory of special subordinators and subordinate killed stable processes.
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Nonzero initial conditions – Solution of the Fokker-Planck equation with a logarithmic potential – Applications in queuing and finance – A Bessel process limit – Oxford University Press, New York. Transient behavior of regulated Brownian motion.
Bessel processes and infinitely divisible laws | BibSonomy
Seminar on Stochastic Processes, Theory and numerical analysis for exact distribution of functionals of a Dirichlet process.
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The tails of probabilities chosen from a Dirichlet prior. Fourier Grenoble 55 In Bayesian Statistics 5 Bernardo, J. Get my own profile Cited by View all All Since Citations h-index 58 34 iindex A characterization of the Gamma distribution.
Monographs and Textbooks in Pure and Applied Mathematics, On the Markov—Krein identity and quasi—invariance of the gamma process. Email address for updates. The convex divisiblf of the Cauchy process.
Translated from the Japanese original. New articles by this author. On the infinite divisibility of the lognormal distribution.
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Solution of the Fokker-Planck equation with a logarithmic potential and mixed eigenvalue spectrum – Guarnieri, F. Distributions of functionals of the two parameter Poisson-Dirichlet process.
Technical ReportDept. Generalized Gamma Convolutions, Dirichlet means, Thorin measures, with explicit examples. AMS subject classifications: Power-law tail distributions and nonergodicity – New articles related to this author’s research. An occupation time theorem for a class of stochastic processes.