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- W2949343044 abstract "Let $X, X_1, X_2,...$ be a sequence of non-degenerate i.i.d. random variables with mean zero. The best possible weighted approximations are investigated in $D[0, 1]$ for the partial sum processes ${S_{[nt]}, 0le tle 1}$, where $S_n=sum_{j=1}^nX_j$, under the assumption that $X$ belongs to the domain of attraction of the normal law. The conclusions then are used to establish similar results for the sequence of self-normalized partial sum processes ${S_{[nt]}/V_n, 0le tle 1}$, where $V_n^2=sum_{j=1}^nX_j^2$. $L_p$ approximations of self-normalized partial sum processes are also discussed." @default.
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- W2949343044 date "2007-11-09" @default.
- W2949343044 modified "2023-09-27" @default.
- W2949343044 title "On weighted approximations in $D[0, 1]$ with applications to self-normalized partial sum processes" @default.
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