Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Almost Sure Convergence of Randomly Weighted Sums with Application to the Efrom Bootstrap

  • Published : 1999.08.01
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Abstract

Let {$X_{nj}$, 1$\leq$j$\leq$n,j$\geq$1} be a triangular array of random variables which are neither independent nor identically distributed. The almost sure convergences of randomly weighted partial sums of the form $$\sum_n^{j=1}$$ $W_{nj}$$X_{nj} are studied where {Wnj 1$\leq$j$\leq$n, j$\geq$1} is a triangular array of random weights. Application regarding the Efron bootstrap is also introduced.

Keywords

References

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