Sequential Estimation of Quantiles with Applications to A/B-testing and Best-arm Identification
Microsoft
Sequential Estimation of Quantiles with Applications to A/B-testing and Best-arm Identification
Consider the problem of sequentially estimating quantiles of any distribution over a complete, fully-ordered set, based on a stream of i.i.d. observations. We propose new, theoretically sound and practically tight confidence sequences for quantiles, that is, sequences of confidence intervals which are valid uniformly over time. We give two ...
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