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Inference and Modeling with Log-concave Distributions
Nonparametric density estimation shape constraint log-concave density Polya frequency function
2010/10/14
Log-concave distributions are an attractive choice for modeling and inference, for several reasons: The class of log-concave distributions contains most of the commonly used parametric distributions ...
Transformations of infinitely divisible distributions via improper stochastic integrals
improper stochastic integral independently scattered random measure innitely divisible distribution Levy measure
2009/6/12
Transformations of infinitely divisible distributions via improper stochastic integrals.
A dynamical characterization of Poisson-Dirichlet distributions
dynamical characterization Poisson-Dirichlet distributions
2009/3/30
We show that a slight modification of a theorem of Ruzmaikina and Aizenman on competing particle systems on the real line leads to a characterization of Poisson-Dirichlet distributions PD(α,0). Precis...
A dynamical characterization of Poisson-Dirichlet distributions
dynamical characterization distributions Ruzmaikina Aizenman
2009/3/23
We show that a slight modification of a theorem of Ruzmaikina and Aizenman on competing particle systems on the real line leads to a characterization of Poisson-Dirichlet distributions PD(α,0). Precis...
A note on the distributions of the maximum of linear Bernoulli processes
note distribution Bernoulli processes
2009/3/20
We give a characterization of the family of all probability measures on the extended line $(-infty,+infty]$, which may be obtained as the distribution of the maximum of some linear Bernoulli process. ...