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- W3170475696 abstract "We study the effects of rounding on the moments of random variables. Specifically, given a random variable X and its rounded counterpart , we study for non‐negative integer k . We consider the case that the rounding function corresponds either to (i) rounding to the nearest point in some discrete set or (ii) rounding randomly to either the nearest larger or smaller point in this same set with probabilities proportional to the distances to these points. In both cases, we show, under reasonable assumptions on the density function of X , how to compute a constant C such that , provided , where is some fixed positive piecewise linear function. Refined bounds for the absolute moments are also given." @default.
- W3170475696 created "2021-06-22" @default.
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- W3170475696 date "2021-12-01" @default.
- W3170475696 modified "2023-09-27" @default.
- W3170475696 title "Non‐asymptotic moment bounds for random variables rounded to non‐uniformly spaced sets" @default.
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