Limit law of the iterated logarithm for \(B\)-valued trimmed sums
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Publication:2354964
DOI10.1007/S12044-015-0224-9zbMath1327.60076OpenAlexW2474180938MaRDI QIDQ2354964
Yuyang Qiu, Yeling Tong, Ke Ang Fu
Publication date: 27 July 2015
Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12044-015-0224-9
Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
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Cites Work
- The limit law of the iterated logarithm in Banach space
- Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables
- A general LIL for trimmed sums of random fields in Banach spaces
- Extreme values and the law of the iterated logarithm
- Strong approximation theorems for sums of random variables when extreme terms are excluded
- LIL and the approximation of rectangular sums of \(B\)-valued random variables when extreme terms are excluded
- A nonclassical LIL for sums of \(B\)-valued random variables when extreme terms are excluded
- The strong law of large numbers when extreme terms are excluded from sums
- Stability for sums of i.i.d. random variables when extreme terms are excluded
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