On the Weak Limits of Elementary Symmetric Polynomials

Bert van Es

doi:10.1214/aop/1176992537

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Home > Journals > Ann. Probab. > Volume 14 > Issue 2 > Article

April, 1986 On the Weak Limits of Elementary Symmetric Polynomials

Bert van Es

Ann. Probab. 14(2): 677-695 (April, 1986). DOI: 10.1214/aop/1176992537

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Abstract

In this paper we extend recent results of Szekely and others on the weak limits of elementary symmetric polynomials $S^{(k_n)}_n(X_1,\cdots, X_n)$ in the case where the order $k_n$ of the polynomials is proportional to the number of variables $n$.

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Bert van Es. "On the Weak Limits of Elementary Symmetric Polynomials." Ann. Probab. 14 (2) 677 - 695, April, 1986. https://doi.org/10.1214/aop/1176992537