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What Courses Should Law Students Take?: Harvard's Largest Employers Weigh In
Curriculum and Courses Law Higher Education
2015/4/28
We report the results of an online survey, conducted on behalf of Harvard Law School, of 124 practicing attorneys at major law firms. The survey had two main objectives: (1) to assist students in sele...
Distribution of the largest eigenvalue for real Wishart and Gaussian random matrices and a simple approximation for the Tracy-Widom distribution
Random Matrix Theory characteristic roots largest eigenvalue Tracy-Widom Distribution Wishart Matrices Gaussian Orthogonal Ensemble
2012/9/23
We derive the exact distribution of the largest eigenvalue for finite dimensions real Wishart matrices and for the Gaussian Orthogonal Ensemble (GOE). We compare the exact distribution with the Tracy-...
A generalized Law of the Iterated Logarithm for the largest observation of a triangular array
Almost sure convergence weak law of large numbers law of the iterated logarithm
2009/9/21
Consider independent and identically distributed random
variables (X, XRj, I < j < k, k > 1) from a particular distribution
with EX = oo. We show that there exists an unusual generalized
Law of the...
The Limiting Copula of the Two Largest Order Statistics of Independent and Identically Distributed Samples
Limiting Copula Order Statistics Distributed Samples
2009/9/17
The Limiting Copula of the Two Largest Order Statistics of Independent and Identically Distributed Samples。
Poisson Statistics for the Largest Eigenvalues of Wigner Random Matrices with Heavy Tails
random matrices largest eigenvalues Poisson statistics
2009/4/28
We study large Wigner random matrices in the case when the marginal distributions of matrix entries have heavy tails. We prove that the largest eigenvalues of such matrices have Poisson statistics.
Universality results for largest eigenvalues of some sample covariance matrix ensembles
Universality results largest eigenvalues sample covariance matrix ensembles
2007/6/21
For sample covariance matrices with iid entries with sub-Gaussian
tails, when both the number of samples and the number of variables
become large and the ratio approaches to one, it is a well-known ...