We investigate the validity of the bootstrap method for the elementary symmetric polynomials $S_n^{(k)={nchoose k^{-1sumsb {1leq i_1 < ...< i_k leq n X_{i_1...X_{i_k$ of i.i.d. random variables $X_1,dots,X_n$. For both fixed and increasing order $k$, as $ntoinfty$ the cases where $mu= {rm E X_1 neq0$, the nondegenerate case, and where $mu= {rm E X_1=0$, the degenerate case, are considered.

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CWI
CWI. Probability, Networks and Algorithms [PNA]

van Es, B., Helmers, R., & Husková, M. (1997). On a crossroad of resampling plans : bootstrapping elementary symmetric polynomials. CWI. Probability, Networks and Algorithms [PNA]. CWI.