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Integral representations and properties of operator fractional Brownian motions
dichotomy principle integral representations long-range dependence multivariate Brownian motion operator fractional Brownian motion operator self-similarity
2011/3/18
Operator fractional Brownian motions (OFBMs) are (i) Gaussian, (ii) operator self-similar and (iii) stationary increment processes. They are the natural multivariate generalizations of the well-studie...
MINIMAL INTEGRAL REPRESENTATIONS OF STABLE PROCESSES
Stable processes stochastic integral representations isometrics on I?-spaces
2009/9/18
Minimal integral representations are defined for general
stochastic processes and completely characterized for stable processes
(symmetric and asymmetric) In the stable case, minimal representations...
Integral representations for convolutions of non-central multivariate gamma distributions
Convolutions of multivariate distributions generalizedquadratic forms of normal random vectors multivariate chi–square distribution
2010/4/27
Three types of integral representations for the cumulative distribution
functions of convolutions of p( k,k,k)–distributions with non–centrality matrices
k are given by integration of p...