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.

Resampling methods (msc 62G09), Asymptotic distribution theory (msc 62E20), Central limit and other weak theorems (msc 60F05)
CWI
CWI. Probability, Networks and Algorithms [PNA]

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