statsmodels.stats.nonparametric.prob_larger_continuous¶

statsmodels.stats.nonparametric.prob_larger_continuous(distr1, distr2)[source]¶

Probability indicating that distr1 is stochastically larger than distr2.

This computes

p = P(x1 > x2)

for two continuous distributions, where distr1 and distr2 are the distributions of random variables x1 and x2 respectively.

Parameters:¶

distr1, distr2distributions

Two instances of scipy.stats.distributions. The required methods are cdf of the second distribution and expect of the first distribution.

Returns:¶

pprobability x1 is larger than x2

Notes

This is a one-liner that is added mainly as reference.

Examples

>>> from scipy import stats
>>> prob_larger_continuous(stats.norm, stats.t(5))
0.4999999999999999

# which is the same as >>> stats.norm.expect(stats.t(5).cdf) 0.4999999999999999

# distribution 1 with smaller mean (loc) than distribution 2 >>> prob_larger_continuous(stats.norm, stats.norm(loc=1)) 0.23975006109347669