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In probability and statistics, a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference.

1 vote
1 answer
184 views

Chebyshev's inequality for Poisson distribution

Reading an old Richard Karp paper, in which he mentions this argument "Application of Chebyshev's inequality yields the result that, if $X$ is Poisson distributed with mean $\lambda$, then $E(X\log_2 …
OmarR's user avatar
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1 vote
1 answer
328 views

Dual problem with integrals

I am reading a paper where the author derives the following Lagrangian dual problem : $\min_v \int_R \frac{1}{4} \frac{\beta^2}{v-2\|x\|}dx+v\;\;\;\text{s.t.}\;\;\;v\geq 2\|x\|\;\;\;\forall x \in R$ f …
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