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math.ST2021
Towards Practical Mean Bounds for Small Samples
My Phan, Philip S. Thomas, Erik Learned-Miller
Historically, to bound the mean for small sample sizes, practitioners have had to choose between using methods with unrealistic assumptions about the unknown distribution (e.g., Ga…
math.ST2019
A New Confidence Interval for the Mean of a Bounded Random Variable
Erik Learned-Miller, Philip S. Thomas
We present a new method for constructing a confidence interval for the mean of a bounded random variable from samples of the random variable. We conjecture that the confidence inte…