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- W2048417256 abstract "Let $X_{1},X_{2},ldots,$ be independent random variables with $EX_{i}=0$ and write $S_{n}=sum_{i=1}^{n}X_{i}$ and $V_{n}^{2}=sum_{i=1}^{n}X_{i}^{2}$. This paper provides an overview of current developments on the functional central limit theorems (invariance principles), absolute and relative errors in the central limit theorems, moderate and large deviation theorems and saddle-point approximations for the self-normalized sum $S_{n}/V_{n}$. Other self-normalized limit theorems are also briefly discussed." @default.
- W2048417256 created "2016-06-24" @default.
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- W2048417256 date "2013-01-01" @default.
- W2048417256 modified "2023-10-10" @default.
- W2048417256 title "Self-normalized limit theorems: A survey" @default.
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- W2048417256 doi "https://doi.org/10.1214/13-ps216" @default.
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