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Empirical distributions of eigenvalues 1 Large Euclidean matrix 1 Random matrix 1 lp ellipsoid 1 lp-norm uniform distributions 1
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Zeng, Xingyuan 1
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Statistics & Probability Letters 1
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Distribution of eigenvalues of large Euclidean matrices generated from lp ellipsoid
Zeng, Xingyuan - In: Statistics & Probability Letters 91 (2014) C, pp. 181-191
In this paper, we study large Euclidean random matrices Mn=(fn(‖xi−xj‖2))n×n where xi’s are i.i.d. points lp-norm uniformly distributed over the N dimensional lp ellipsoid or its surface, fn is a real function on [0,∞) and ‖⋅‖ is the Euclidean distance. Under the assumption that...
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