Differential relations for the largest root distribution of complex non-central Wishart matrices
classification
🧮 math.ST
stat.TH
keywords
complexdensityderiveddistributionfunctionlargestnon-centralprobability
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A holonomic system for the probability density function of the largest eigenvalue of a non-central complex Wishart distribution with identity covariance matrix is derived. Furthermore a new determinantal formula for the probability density function is derived (for m=2,3) or conjectured.
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