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889
Semiparametrically efficient rankbased inference for shape I: Optimal rankbased tests for sphericity
 Ann. Statist
, 2006
"... A class of Restimators based on the concepts of multivariate signed ranks and the optimal rankbased tests developed in Hallin and Paindaveine [Ann. Statist. 34 (2006)] is proposed for the estimation of the shape matrix of an elliptical distribution. These Restimators are rootn consistent under a ..."
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Cited by 48 (32 self)
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, moreover, requires finite moments of order four), irrespective of the actual underlying elliptical density. They rely on an original rankbased version of Le Cam’s onestep methodology which avoids the unpleasant nonparametric estimation of crossinformation quantities that is generally required
Coil sensitivity encoding for fast MRI. In:
 Proceedings of the ISMRM 6th Annual Meeting,
, 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
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Cited by 193 (3 self)
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configurations and kspace sampling patterns. Special attention is given to the currently most practical case, namely, sampling a common Cartesian grid with reduced density. For this case the feasibility of the proposed methods was verified both in vitro and in vivo. Scan time was reduced to onehalf using a two
Almost Everywhere High Nonuniform Complexity
, 1992
"... . We investigate the distribution of nonuniform complexities in uniform complexity classes. We prove that almost every problem decidable in exponential space has essentially maximum circuitsize and spacebounded Kolmogorov complexity almost everywhere. (The circuitsize lower bound actually exceeds ..."
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Cited by 173 (38 self)
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pseudorandom sequences have high nonuniform complexity almost everywhere. The results are unified by a new, more powerful formulation of the underlying measure theory, based on uniform systems of density functions, and by the introduction of a new nonuniform complexity measure, the selective Kolmogorov
Modeling and analysis of Ktier downlink heterogeneous cellular networks
 IEEE J. Sel. Areas Commun
, 2012
"... Abstract—Cellular networks are in a major transition from a carefully planned set of large towermounted basestations (BSs) to an irregular deployment of heterogeneous infrastructure elements that often additionally includes micro, pico, and femtocells, as well as distributed antennas. In this pap ..."
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Cited by 154 (38 self)
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closedform in the high SINR regime and is accurate down to −4 dB even under weaker assumptions. For external validation, we compare against an actual LTE network (for tier 1) with the other K − 1 tiers being modeled as independent Poisson Point Processes. In this case as well, our model is accurate
1 and 2Level Densities for Rational Families of Elliptic Curves: Evidence for the Underlying
 Group Symmetries, Compositio Math
"... [ILS], and Rubinstein [Ru], we use the 1 and 2level densities to study the distribution of low lying zeros for oneparameter rational families of elliptic curves over Q(t). Modulo standard conjectures, for small support the densities agree with Katz and Sarnak’s predictions. Further, the densities ..."
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Cited by 3 (1 self)
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[ILS], and Rubinstein [Ru], we use the 1 and 2level densities to study the distribution of low lying zeros for oneparameter rational families of elliptic curves over Q(t). Modulo standard conjectures, for small support the densities agree with Katz and Sarnak’s predictions. Further
Twodimensional KellerSegel model: Optimal critical mass and qualitative properties of the solutions
 J. DIFF. EQNS
, 2006
"... The KellerSegel system describes the collective motion of cells which are attracted by a chemical substance and are able to emit it. In its simplest form it is a conservative driftdiffusion equation for the cell density coupled to an elliptic equation for the chemoattractant concentration. It is k ..."
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Cited by 128 (15 self)
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The KellerSegel system describes the collective motion of cells which are attracted by a chemical substance and are able to emit it. In its simplest form it is a conservative driftdiffusion equation for the cell density coupled to an elliptic equation for the chemoattractant concentration
Whom You Know Matters: Venture Capital Networks and Investment Performance,
 Journal of Finance
, 2007
"... Abstract Many financial markets are characterized by strong relationships and networks, rather than arm'slength, spotmarket transactions. We examine the performance consequences of this organizational choice in the context of relationships established when VCs syndicate portfolio company inv ..."
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Cited by 138 (8 self)
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syndication networks are not particularly dense. As a proportion of all the relationships between every pair of VCs that could be present, the density of undirected ties peaked at 4.5% in 19871991 and has been declining to below 2% since. Directed ties (i.e., those between lead VC and syndicate members
On Regularity Of Transition Probabilities And Invariant Measures Of Singular Diffusions Under Minimal Conditions
, 1999
"... Let A = (a ij ) be a matrixvalued Borel mapping on a domain# # R d , let b = (b i ) be a vector field on # and let L A,b # = a ij # x i # x j # + b i # x i #. We study Borel measures on# that satisfy the elliptic equation L # A,b = 0 in the weak sense: # L A,b # d = 0 for all # ..."
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Cited by 47 (12 self)
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# # C # 0(#2 We prove that, under mild conditions, has a density. If A is locally uniformly nondegenerate, A # H p,1 loc and b # L p loc for some p > d, then this density belongs to H p,1 loc . Actually, we prove Sobolev regularity for solutions of certain generalized nonlinear elliptic
Lower bounds for densities of uniformly elliptic random variables on Wiener space
 Fields
, 2003
"... In this article, we generalize the lower bound estimates for uniformly elliptic di#usion processes obtained by Kusuoka and Stroock. We define the concept of uniform elliptic random variable on Wiener space and show that with this definition one can prove a lower bound estimate of Gaussian type for i ..."
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Cited by 20 (3 self)
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for its density. We apply our results to the case of the stochastic heat equation under the hypothesis of unifom ellipticity of the di#usion coe#cient. 1
Sizeandshape Cone, Shape Disk and Configuration Densities for the Elliptical Models
, 2000
"... The sizeandshape cone, shape disk and configuration densities are studied under elliptically contoured distributions in the central case. We prove that the shape disk and confiuration densities are invariant on the family of elliptical laws. ..."
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Cited by 6 (2 self)
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The sizeandshape cone, shape disk and configuration densities are studied under elliptically contoured distributions in the central case. We prove that the shape disk and confiuration densities are invariant on the family of elliptical laws.
Results 1  10
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889