skbio.diversity.alpha.robbins

skbio.diversity.alpha.robbins(counts)

Calculate Robbins’ estimator for probability of unobserved outcomes.

Robbins’ estimator is defined as:

\[\frac{F_1}{N}\]

where \(F_1\) is the number of singleton taxa and and \(N\) is the total number of individuals in the sample.

The result can be interpreted as the probability of discovering a new taxon at the \(N\)-th individual given the current \(N - 1\) individuals.

Parameters:

counts1-D array_like, int

Vector of counts.

Returns:

float

Robbins’ estimator.

See also

goods_coverage

Notes

Robbins’ estimator is defined in [1].

References

[1]

Robbins, H. E. (1968). Estimating the total probability of the unobserved outcomes of an experiment. Ann. Math. Statist., 39(6), 256-257.