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- W1689557836 abstract "Lukacs type characterization of Marchenko--Pastur distribution in free probability is studied here. We prove that for free $mathbb{X}$ and $mathbb{Y}$ when conditional moments of order $1$ and $-1$ of $(mathbb{X+Y})^{-1/2}mathbb{X}(mathbb{X+Y})^{-1/2}$ given $mathbb{X+Y}$ are constant then $mathbb{X}$ and $mathbb{Y}$ have Marchenko--Pastur distribution." @default.
- W1689557836 created "2016-06-24" @default.
- W1689557836 creator A5046335881 @default.
- W1689557836 date "2015-03-03" @default.
- W1689557836 modified "2023-09-27" @default.
- W1689557836 title "A constant regression characterization of a Marchenko-Pastur law" @default.
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