Bienaymé-Chebyshev Inequality/Motivation

Bienaymé-Chebyshev Inequality: Motivation

While most probability distributions do not come anywhere near the specified limit, the Bienaymé-Chebyshev inequality can be useful to identify a strict upper limit which a probability distribution cannot exceed.

Hence, while the Bienaymé-Chebyshev inequality is somewhat weak, it does have its uses.


Sources

  • 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Chebyshev's inequality