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Samuelson's inequality

Inequality relating a sample mean and standard deviation of that sample

ConcepttheoreminequationQ7413036

Also known as Laguerre–Samuelson inequality

Instance of

Overview

All data

6 statements · 0% with external sources · numbers in brackets are citations

Defining formula
  • \overline{x} - s\sqrt{n-1} \le x_j \le \overline{x} + s\sqrt{n-1}\qquad \text{for } j = 1,\dots,n

On other databases

2 identifiers linking Samuelson's inequality across the web's reference databases