`scipy.stats._tukeylambda_stats:tukeylambda_variance`

source: build-install/usr/lib/python3.14/site-packages/scipy/stats/_tukeylambda_stats.py:43

Signature

def tukeylambda_variance(lam)

Summary

Variance of the Tukey Lambda distribution.

Parameters

lam : array_like: The lambda values at which to compute the variance.

Returns

v : ndarray: The variance. For lam < -0.5, the variance is not defined, so np.nan is returned. For lam = 0.5, np.inf is returned.

Notes

In an interval around lambda=0, this function uses the [4,4] Pade approximation to compute the variance. Otherwise it uses the standard formula (https://en.wikipedia.org/wiki/Tukey_lambda_distribution). The Pade approximation is used because the standard formula has a removable discontinuity at lambda = 0, and does not produce accurate numerical results near lambda = 0.

Aliases

scipy.stats._continuous_distns._tlvar