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Central limit theorems for linear spectral statistics of large dimensional F-matrices

Shurong Zheng — 2012

Annales de l'I.H.P. Probabilités et statistiques

In many applications, one needs to make statistical inference on the parameters defined by the limiting spectral distribution of an matrix, the product of a sample covariance matrix from the independent variable array ( )×1 and the inverse of another covariance matrix from the independent variable array ( )×2. Here, the two variable arrays are assumed to either both real or both complex. It helps to find the asymptotic distribution of the relevant parameter estimators...

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