ppf

Cauchy.ppf(P)

Percent Point Function (PPF) or quantile function.

The PPF for the two-parameter cauchy distribution is:

\[Q(p | \alpha, \beta) = \alpha + \beta \cdot \tan(\pi \cdot (p - 0.5))\]

where \(\alpha\) is the location parameter and \(\beta\) is the scale parameter.

Parameters:

P (ArrayLike) – The probability values (between 0 and 1) at which to evaluate the PPF.

Returns:

The PPF values corresponding to each probability in P.

Return type:

NDArray[np.float64]