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math.PR2024★ 1 cited
Quantization dimensions of negative order
Marc Kesseböhmer, Aljoscha Niemann
We investigate the possibility of defining meaningful upper and lower quantization dimensions for a compactly supported Borel probability measure of order , including negative v…
math.PR2016★ 8 cited
Strong laws of large numbers for intermediately trimmed sums of i.i.d. random variables with infinite mean
Marc Kesseböhmer, Tanja Schindler
We consider moderately trimmed sums of non-negative i.i.d. random variables. We show that for every distribution function there exists a proper moderate trimming such that for the…