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Positive-part moments via the Fourier-Laplace transform
positive-part moments characteristic functions Fourier transforms Fourier-Laplace transforms integral representations
2010/3/18
Integral expressions for positive-part moments EXp
+ (p > 0) of random variables X are presented, in terms of the Fourier-Laplace or
Fourier transforms of the distribution of X. A necessary and suff...
The maximal J-regular part of a q-variate weakly stationary process
The maximal J-regular part a q-variate weakly stationary process
2009/9/21
Abstract. Let x be a q-variate (weakly) stationary process over
a locally compact Abelian group G, and 9 a family of subsets or
C invariant under translation. We show that the set of aU regular
non...
Construction of a specification from its singleton part
Specication Gibbs-measure non-nullness quasilocality
2009/6/12
We state a construction theorem for specications starting from single-site conditional probabilities(singleton part). We considergeneralsingle-sitespaces and kernels that are absolutely continuous wit...
Detecting spatial patterns with the cumulant function. Part I：The theory
Pattern Analysis Cumulant Function Multivariate Gaussian Skew-normal and Gamma vectors
2010/4/30
In climate studies, detecting spatial patterns that
largely deviate from the sample mean still remains a statistical
challenge. Although a Principal Component Analysis
(PCA), or equivalently a Empi...