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- W4289446880 abstract "We study Edgeworth expansions in limit theorems for self-normalized sums. Non-uniform bounds for expansions in the central limit theorem are established while only imposing minimal moment conditions. Within this result, we address the case of non-integer moments leading to a reduced remainder. Furthermore, we provide non-uniform bounds for expansions in local limit theorems. The enhanced tail-accuracy of our non-uniform bounds allows for deriving an Edgeworth-type expansion in the entropic central limit theorem as well as a central limit theorem in total variation distance for self-normalized sums." @default.
- W4289446880 created "2022-08-02" @default.
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- W4289446880 date "2022-07-28" @default.
- W4289446880 modified "2023-09-29" @default.
- W4289446880 title "Non-uniform bounds and Edgeworth expansions in self-normalized limit theorems" @default.
- W4289446880 doi "https://doi.org/10.48550/arxiv.2207.14402" @default.
- W4289446880 hasPublicationYear "2022" @default.
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