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OPTIMAL TWOVALUE ZEROMEAN DISINTEGRATION OF ZEROMEAN RANDOM VARIABLES
, 2008
"... For any continuous zeromean random variable (r.v.) X, a reciprocating function r is constructed, based only on the distribution of X, such that the conditional distribution of X given the (atmost)twopoint set {X, r(X)} is the zeromean distribution on this set; in fact, a more general construct ..."
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Cited by 5 (4 self)
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For any continuous zeromean random variable (r.v.) X, a reciprocating function r is constructed, based only on the distribution of X, such that the conditional distribution of X given the (atmost)twopoint set {X, r(X)} is the zeromean distribution on this set; in fact, a more general
On Functions with Zero Mean over a Finite Group*
"... 1. The following observation was made by Arnold [1]. Let f be a real trigonometric polynomial of degree n, with zero constant term, that changes sign at exactly two points. These points divide the circle into two arcs. Theorem 1. The ratio of the lengths of these arcs is not less than 1/n. If equali ..."
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, we obtain the following corollary. Theorem 3. If the Fourier expansion of a function f contains no harmonics whose order is a multiple of n (including the constant term), then re(f)> 1/n. In particular, re(f)> _ 1/n for any trigonometric polynomial, of degree less than n, with zero mean
Rozenholc Y., An adaptive test for zero mean
 Math. Methods Statist
, 2006
"... Assume we observe a random vector y of R n and write y = f + ε, where f is the expectation of y and ε is an unobservable centered random vector. The aim of this paper is to build a new test for the null hypothesis that f = 0 under as few assumptions as possible on f and ε. The proposed test is nonpa ..."
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Cited by 7 (1 self)
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is nonparametric (no prior assumption on f is needed) and nonasymptotic. It has the prescribed level α under the only assumption that the components of ε are mutually independent, almost surely different from zero and with symmetric distribution. Its power is described in a general setting and also
INFINITE DIVISIBILITY OF GAUSSIAN SQUARES with Non–zero Means
 ELECTRONIC COMMUNICATIONS IN PROBABILITY
, 2008
"... Let η = (η1,..., ηn) be an R n valued Gaussian random variable and c = (c1,..., cn) a vector in Rn. We give necessary and sufficient conditions for ((η1 + c1α) 2,..., (ηn + cnα) 2) to be infinitely divisible for all α ∈ R1, and point out how this result is related to local times of Markov chains det ..."
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Cited by 2 (1 self)
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Let η = (η1,..., ηn) be an R n valued Gaussian random variable and c = (c1,..., cn) a vector in Rn. We give necessary and sufficient conditions for ((η1 + c1α) 2,..., (ηn + cnα) 2) to be infinitely divisible for all α ∈ R1, and point out how this result is related to local times of Markov chains determined by the covariance matrix of η.
A DECOMPOSITION OF FUNCTIONS WITH ZERO MEANS ON CIRCLES
, 2003
"... ABSTRACT It is well known that every Hölder continuous function on the unit circle is the sum of two functions such that one of these functions extends holomorphically into the unit disc and the other extends holomorphically into the complement of the unit disc. We prove that an analogue of this hol ..."
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of this holds for Hölder continuous functions on an annulus A which have zero averages on all circles contained in A which surround the hole.
Zero Mean Flow, AirCarried Acoustic Excitation
, 1968
"... Significant structural response of a cylindrical duct to an internal pure tone sound field resulting from an external pure tone source, located approximately on the duct centerline, will arise only when coincidence occurs between the natural modes of propagation of acoustic waves within the duct and ..."
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Significant structural response of a cylindrical duct to an internal pure tone sound field resulting from an external pure tone source, located approximately on the duct centerline, will arise only when coincidence occurs between the natural modes of propagation of acoustic waves within the duct and the natural modes of structural vibration of the duct itself. The coupling mechanism giving rise to such coincidence lies within • iption oi ' ' tions of the source location from the duct centerline. This result which arose from a theoretical analysis based on a solution for the velocity potential within a semiinfinite cylinder in the presence of a nonaxial incident plane wave and an equivalent modal resonator model of the cylinder undergoing principally radial vibrations in a lobar axially varyingiii
Signal Corrupted with Zero−Mean Random Noise
"... Going back to definition from the first lecture: y(t) = x(t)+ν(t)+η(t) (1) Several classical filters from signal processing can be applied to remove noise from y(t). ..."
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Going back to definition from the first lecture: y(t) = x(t)+ν(t)+η(t) (1) Several classical filters from signal processing can be applied to remove noise from y(t).
Higher order blind separation of non zeromean cyclostationary sources
 in EUSIPCO 02, XI European Signal Processing Conference
"... Most of the current Second Order (SO) and Higher Order (HO) blind source separation (BSS) methods aim at blindly separating statistically independent sources, assumed zeromean, stationary and ergodic. However in practical situations, such as in radiocommunications contexts, the sources are non stat ..."
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Cited by 6 (6 self)
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Most of the current Second Order (SO) and Higher Order (HO) blind source separation (BSS) methods aim at blindly separating statistically independent sources, assumed zeromean, stationary and ergodic. However in practical situations, such as in radiocommunications contexts, the sources are non
Reconstruction and Representation of 3D Objects with Radial Basis Functions
 Computer Graphics (SIGGRAPH ’01 Conf. Proc.), pages 67–76. ACM SIGGRAPH
, 2001
"... We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from pointcloud data and to repair incomplete meshes. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. Fast methods for fitting and evaluating RBFs al ..."
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Cited by 505 (1 self)
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We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from pointcloud data and to repair incomplete meshes. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. Fast methods for fitting and evaluating RBFs
Results 1  10
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9,162