This article is cited in 8 papers

Theoretical Foundations of Applied Discrete Mathematics

Speeds of convergence in limit theorems for joint distributions of some random binary mappings characteristics

K. N. Pankov

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University), Moscow, Russia

Abstract: For linear combinations of coordinate functions of random binary mappings, the limit joint distributions of some their autocorrelation and spectral coefficients and subfunction weights along with the speeds of convergence are obtained. Also, it is proved that these vectors satisfy some congruences.

Keywords: random binary mapping, local limit theorem, law of large numbers, autocorrelation coefficients, spectral coefficients, weights of subfunction.

UDC: 519.214