Geodesic
Speeds of convergence in limit theorems for joint distributions of some random binary mappings characteristics
Prikladnaâ diskretnaâ matematika, no. 4 (2012), pp. 14-30

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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, weights of subfunction.
Mots-clés : autocorrelation coefficients, spectral coefficients 
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     author = {K. N. Pankov},
     title = {Speeds of convergence in limit theorems for joint distributions of some random binary mappings characteristics},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {14--30},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2012_4_a1/}
}
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K. N. Pankov. Speeds of convergence in limit theorems for joint distributions of some random binary mappings characteristics. Prikladnaâ diskretnaâ matematika, no. 4 (2012), pp. 14-30. http://geodesic.mathdoc.fr/item/PDM_2012_4_a1/