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2 votes
0 answers
60 views

How to estimate with confidence the quantiles of an unknown random variable using sample mean and variance?

Let $X$ be a uniform distribution of inputs to be used for sampling. Let $f(x)$ be an expensive function. If we take samples from $X$ and give them as input to $f$ we get outputs $y_1, y_2, \ldots, ...
kpjoshi's user avatar
  • 41
2 votes
0 answers
73 views

How many people initially had apples?

Story problem: Assume 10 apples are distributed across $X$ unknown people, where each person has at least one apple. For each apple a biased coin is flipped to see if that apple should be kept or ...
sheppa28's user avatar
  • 1,636
3 votes
1 answer
1k views

Nonparametric expected value estimation of sample from unknown distribution

I have a data sample (in this case an EEG data sample, but my question refers to any type of data samples of prior unknown distributions). I would like to do a nonparametric estimate of the expected ...
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