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skbio.diversity.alpha.robbins#

skbio.diversity.alpha.robbins(counts)[source]#

Calculate Robbins’ estimator for probability of unobserved outcomes.

Robbins’ estimator is defined as:

\[\frac{F_1}{n+1}\]

where \(F_1\) is the number of singleton taxa.

Parameters:
counts1-D array_like, int

Vector of counts.

Returns:
double

Robbins’ estimate.

Notes

Robbins’ estimator is defined in [1]. The estimate computed here is for \(n-1\) counts, i.e. the x-axis is off by 1.

References

[1]

Robbins, H. E (1968). Ann. of Stats. Vol 36, pp. 256-257.