Concentration of the Ratio between the Geometric and Arithmetic Means
نویسندگان
چکیده
منابع مشابه
Concentration of the Ratio between the Geometric and Arithmetic Means
This paper is motivated by the article [GluMi] by E. Gluskin and V. Milman, who considered the variant ∏n i=1 |yi| ≤ √ n−1 ∑n i=1 y 2 i of the AM-GM inequality in the equal weights case. Roughly speaking, they showed that the ratio ∏n i=1 |yi|/ √ n−1 ∑n i=1 y 2 i is bounded below by 0.394 asymptotically in n and with high probability, where probability refers to Haar measure on the euclidean un...
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2009
ISSN: 0894-9840,1572-9230
DOI: 10.1007/s10959-009-0215-9