Log-concavity and log-convexity of moments of averages of i.i.d. random variables
نویسندگان
چکیده
Abstract We show that the sequence of moments order less than 1 averages i.i.d. positive random variables is log-concave. For at least 1, we conjecture log-convex and this holds eventually for integer (after neglecting first $p^2$ terms sequence).
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ژورنال
عنوان ژورنال: Canadian mathematical bulletin
سال: 2021
ISSN: ['1496-4287', '0008-4395']
DOI: https://doi.org/10.4153/s0008439521000254