random vectors
Hájek–Rényi inequality for m asymptotically almost negatively associated random vectors in Hilbert space and applications
... Banach-space-valued random variables, Liu, Gan, and Chen [14] studied the Hájek–Rényi inequality for NA random variables, Ko et ...AANA random variables, and Nam et ...dependent random ...
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Random sums of random vectors and multitype families of productive individuals
... Here, we discuss the relationship the random sum of random vectors and multitype branching processes. Although X (t) , the number of individuals of different types at time t , is the main object of ...
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Testing Independence for a Large Number of High–Dimensional Random Vectors
... To study the size of the proposed test we first establish the limiting spectral distribu- tion(LSD), i.e. the limit of the ESD of the sample covariance matrix S under the finite second moment condition on the components. ...
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Tests of Mutual or Serial Independence of Random Vectors with Applications
... many random vectors is ...p vectors of distance covariance and Hilbert-Schmidt independence criterion (HSIC) tests with the translation invariant kernel of a stable probability distribution is ...
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A reverse entropy power inequality for log concave random vectors
... a random vector X with a finite entropy such that S(X + Y ) = ∞ for every independent of X random vector Y with finite ...concave vectors and, more generally, convex measures, Bobkov and Madiman have ...
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The complete moment convergence for CNA random vectors in Hilbert spaces
... In this paper we establish the complete moment convergence for sequences of coordinatewise negatively associated random vectors in Hilbert spaces. The result extends the complete moment convergence in (Ko ...
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On the Distribution of Quadratic Expressions in Various Types of Random Vectors
... Gaussian random vectors and ratios thereof are obtained in this disser- ...contoured vectors, which are expressed as scalar mixtures of Gaussian vectors, are proposed as ...Gaussian ...
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Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
... Huan et al. [1] extended Theorem A from independence to the case of CNA random vec- tors in Hilbert space. Huan [13] extended this complete convergence result for H-valued CNA random vectors to the ...
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\(L {p}\) convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in \(\mathbb{R}^{d}\)
... associated random variables is negatively associated if and only if ρ – (1) = ...of random variables (for detailed examples, see Zhang [3, ...associated random variables is of much ...
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Stochastic ordering of bivariate elliptical distributions
... bivariate random vectors, belonging to the same elliptical family, the ordering of their correlation coefficients (or corresponding quantities if the covariance matrix does not exist), is equiva- lent to ...
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11-5-2015 12:00 AM A Novel Method for Assessing Co-monotonicity: an Interplay between Mathematics and Statistics with Applications
... co-monotonic random vector, then is there any restriction such that this replacement ruins the accuracy? There are some cases, of course, when random vectors depart significantly from their ...
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Characterizations of multinomial distributions based on conditional distributions
... In Section 3 a characterization of the joint multinomial of two identically distributed random vectors based on one conditional multinomial... distribution is given.[r] ...
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Extreme behavior of multivariate phase-type distributions
... The limiting distribution of the normalized componentwise maxima (minima) of a sequence of iid random vectors is a fundamental and thoroughly studied topic in the area of multivariate extreme value theory. ...
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Multivariate generalized Pareto distributions: Parametrizations, representations, and properties
... To complete the picture, we focus here on a number of analytic properties of multivariate GP distributions. Our view is that a GP distribution is derived from a max-stable distribution from which it inherits the marginal ...
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Extreme behavior of bivariate elliptical distributions
... In this paper, we present some results on the extreme behavior of bivariate elliptical distributions. These results hold under certain conditions on the tail behavior of the generator. Specifically, we give the limiting ...
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Volume 2, Issue 8, August 2013 Page 203
... k random vectors from the training set and call it as code ...training vectors with the selected k vectors and k clusters are ...code vectors happens to be minimum for more than one ...
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Slepian’s inequality for Gaussian processes with respect to weak majorization
... Slepian’s inequality and its modifications are an essential ingredient in the proofs of many results being concerned with sample path properties of Gaussian processes. See, e.g., Adler and Taylor [] and Maurer []. Some ...
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A characterization of matrix variate normal distribution
... The joint normality of two random vectors is obtained based on normal conditional with linear regression and constant covariance matrix of each vector given the value of the other withou[r] ...
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Multistable processes and localizability
... stable random vari- ables and random vectors, stable integrals may be defined as stochastic processes whose finite- dimensional distributions are jointly stable, with the properties of integrals ...
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A Study of co-existence between the Hubble flow and the random alignments of spin vectors of SDSS galaxies
... We present a study of spin vector orientation of 14,118 SDSS (Sloan Digital Sky Survey) galaxies having redshift in the range 0.19 to 0.20 (radial velocity 57,000 km/s to 60,000 km/s) with respect to galactic coordinate ...
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