hyperfine.distributions.modified_beta_cdf

hyperfine.distributions.modified_beta_cdf(z: Sequence[float], alpha: Annotated[float, slice(0, None, None)], beta: Annotated[float, slice(0, None, None)], z_max: Annotated[float, slice(0, None, None)]) → Sequence[float]

Cumulative density function for a modified beta distribution.

This modified form extends the beta distribution’s domain from \(z \in [0, 1]\) to \(z \in [0, z_{\mathrm{max}}]\).

Parameters:

• z – Position.

• alpha – First shape parameter.

• beta – Second shape parameter.

• z_max – Upper bounds of the domain.

Returns:

The cumulative probability density up to position z.