Geodesic
On the Maximal Lévy–Ottaviani Inequality for Sums of Independent and Dependent Random Vectors
Zbigniew S. Szewczak 1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University 87-100 Toruń, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 2, pp. 155-160 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the sums $S_k$ of independent random vectors satisfy \[ P\left(\max_{1\leq k\leq n} \| S_k\| > 3t\right) \leq 2\max_{1\leq k\leq n} P(\|S_k\| > t),\quad t\geq 0. \]
DOI : 10.4064/ba61-2-9
Keywords: prove sums independent random vectors satisfy max leq leq right leq max leq leq quad geq

Zbigniew S. Szewczak  1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University 87-100 Toruń, Poland 
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     title = {On the {Maximal} {L\'evy{\textendash}Ottaviani} {Inequality} for {Sums} of {Independent} and {Dependent} {Random} {Vectors}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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Zbigniew S. Szewczak. On the Maximal Lévy–Ottaviani Inequality for Sums of Independent and Dependent Random Vectors. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 2, pp. 155-160. doi: 10.4064/ba61-2-9

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