Geodesic
Statistical independence of general superposition of Boolean functions
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 18-19.

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The sufficient conditions are proved for a superposition of some Boolean functions to be statistically independent on the subset of variables.
Keywords: Boolean functions superposition, statistical independence. 
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     title = {Statistical independence of general superposition of {Boolean} functions},
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O. L. Mironenko. Statistical independence of general superposition of Boolean functions. Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 18-19. http://geodesic.mathdoc.fr/item/PDMA_2013_6_a8/

[1] Kolcheva O. L., Pankratova I. A., “O statisticheskoi nezavisimosti superpozitsii bulevykh funktsii”, Prikladnaya diskretnaya matematika. Prilozhenie, 2011, no. 4, 11–12

[2] Kolcheva O. L., Pankratova I. A., “O statisticheskoi nezavisimosti superpozitsii bulevykh funktsii, II”, Prikladnaya diskretnaya matematika. Prilozhenie, 2012, no. 5, 14–15 | MR