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reference request – How did the story of Kim-Vu kind inequalities proceed
I’m within the focus of polynomials of random variables. I’ve been studying Boucheron, Lugosi, and Massart’s “Concentration inequalities” they usually give some references. However, it’s a 2013 bespeak, so there naturally is not something that got here after that.
Specifically, I’m within the low-expectation regime: I’ve a constant-degree polynomial of Bernoulli variables that are all closely biased in the direction of zero. Moreover, there could not breathe that many phrases and I’m making an attempt to clique the color of the Bernoulli variables to breathe as diminutive as workable whereas getting adequate focus. I’m too within the scowl tail, so issues love Janson’s deletion system is not going to ameliorate (or will it?).
I’ve create “On the concentration of multivariate polynomials with small expectation” from the yr 2000. Have there been some developments since then? Something tighter or simpler to employ? I might too breathe excited by different latest Kim-Vu kind inequalities as they might have reference to what I necessity within the “related work” part.
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