Geodesic
On the limit distributions of homogeneous random symmetric polynomials of arbitrary degree
Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 3, pp. 671-677

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In this paper the asymptotic behavior of homogeneous random symmetric polynomials of arbitrary degree is considered. Under some special assumptions, the conditions concerning coefficients of polynomials and ensuring the convergence of the latter to a nondegenerate random variable are found.
Keywords: symmetric polynomials, the limit distribution, asymptotic behavior. 
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     author = {O. L. Yanushkyavichene},
     title = {On the limit distributions of homogeneous random symmetric polynomials of arbitrary degree},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {671--677},
     publisher = {mathdoc},
     volume = {40},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1995_40_3_a18/}
}
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O. L. Yanushkyavichene. On the limit distributions of homogeneous random symmetric polynomials of arbitrary degree. Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 3, pp. 671-677. http://geodesic.mathdoc.fr/item/TVP_1995_40_3_a18/