Limit theorems for spectra of positive random matrices under dependence
    
    
  
  
  
      
      
      
        
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 7, Tome 311 (2004), pp. 92-123
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			We study classical ensembles of sample covariance matrices introduced by Wishart. We discuss Stein's method for the asymptotic approximation of expectations of functions of the normalized eigenvalue counting measure of high dimensional matrices. The method is based on a differential equation for the density of the Marchenko–Pastur law.
			
            
            
            
          
        
      @article{ZNSL_2004_311_a4,
     author = {F. G\"otze and A. N. Tikhomirov},
     title = {Limit theorems for spectra of positive random matrices under dependence},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {92--123},
     publisher = {mathdoc},
     volume = {311},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_311_a4/}
}
                      
                      
                    F. Götze; A. N. Tikhomirov. Limit theorems for spectra of positive random matrices under dependence. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 7, Tome 311 (2004), pp. 92-123. http://geodesic.mathdoc.fr/item/ZNSL_2004_311_a4/