On conditions of the local nondeterminism of differentiable Gaussian stationary processes
    
    
  
  
  
      
      
      
        
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 851-856
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			We are concerned with sufficient conditions of the $k$th order local nondeterminism of a Gaussian stationary process $\xi_t$ in terms of the spectrum (Theorem 1). These conditions are used to establish a criterion for the factorial moment $N_m(t)$ of the number of zeros of $\xi_t$ to be finite (Theorem 2).
			
            
            
            
          
        
      @article{TVP_1977_22_4_a16,
     author = {R. N. Miro\v{s}in},
     title = {On conditions of the local nondeterminism of differentiable {Gaussian} stationary processes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {851--856},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a16/}
}
                      
                      
                    TY - JOUR AU - R. N. Mirošin TI - On conditions of the local nondeterminism of differentiable Gaussian stationary processes JO - Teoriâ veroâtnostej i ee primeneniâ PY - 1977 SP - 851 EP - 856 VL - 22 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a16/ LA - ru ID - TVP_1977_22_4_a16 ER -
R. N. Mirošin. On conditions of the local nondeterminism of differentiable Gaussian stationary processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 851-856. http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a16/
