Small ball estimates for quasi-norms
| Autor: | Friedland, Omer, Giladi, Ohad, Guédon, Olivier |
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| Rok vydání: | 2014 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10959-015-0622-z |
| Popis: | This note contains two types of small ball estimates for random vectors in finite dimensional spaces equipped with a quasi-norm. In the first part, we obtain bounds for the small ball probability of random vectors under some smoothness assumptions on their density function. In the second part, we obtain Littlewood-Offord type estimates for quasi-norms. This generalizes a result which was previously obtained by Friedland and Sodin and by Rudelson and Vershynin. Comment: Minor corrections. To appear in J Theor Probab |
| Databáze: | arXiv |
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