Definition:Cauchy Distribution/Notation

Cauchy Distribution: Notation

The notation used to denote a Cauchy distribution is generally consistent, except for the parameter labels.

Some sources use $\theta$ for $\gamma$.

MathWorld uses $m$ and $b$ for $\lambda$ and $\gamma$.

All notation is perfectly good, as long as it is clear what the parameters are.

Also see

• Results about the Cauchy distribution can be found here.

Source of Name

This entry was named for Augustin Louis Cauchy.

Technical Note

The $\LaTeX$ code for \(\Cauchy {\gamma} {\lambda}\) is \Cauchy {\gamma} {\lambda} .

When either of the arguments is a single character, it is usual to omit the braces:

\Cauchy \gamma \lambda

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Cauchy distribution
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Cauchy distribution

• Weisstein, Eric W. "Cauchy Distribution." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CauchyDistribution.html