Thomas Lumley 3/15/2018

Chebyshev’s inequality and `UCL’

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This article provides a clear, intuitive explanation of Chebyshev's inequality, a fundamental theorem in probability that bounds how much of a distribution can be far from its mean. It details the mathematical derivation and then discusses its practical application in calculating Upper Confidence Limits (UCL) for environmental monitoring, highlighting the challenges of using sample variance estimates in this context.

Chebyshev’s inequality and `UCL’

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