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A $k$-modal probability distribution over the domain $\{1,...,n\}$ is one whose histogram has at most $k$ "peaks" and "valleys." Such distributions are natural generalizations of monotone ($k=0$) and ...
Martingale Couplings and Bounds on the Tails of Probability Distributions
Martingale Couplings Probability Distributions
2011/7/19
Hoeffding has shown that tail bounds on the distribution for sampling from a finite population with replacement also apply to the corresponding cases of sampling without replacement.