A faster and more accurate algorithm for calculating population genetics statistics requiring sums of Stirling numbers of the first kind
Keyword(s):
AbstractStirling numbers of the first kind are used in the derivation of several population genetics statistics, which in turn are useful for testing evolutionary hypotheses directly from DNA sequences. Here, we explore the cumulative distribution function of these Stirling numbers, which enables a single direct estimate of the sum, using representations in terms of the incomplete beta function. This estimator enables an improved method for calculating an asymptotic estimate for one useful statistic, Fu’s Fs. By reducing the calculation from a sum of terms involving Stirling numbers to a single estimate, we simultaneously improve accuracy and dramatically increase speed.
1968 ◽
Vol 22
(101)
◽
pp. 159-159
◽
2016 ◽
Vol 24
(1)
◽
pp. 183-199
2001 ◽
Vol 09
(01)
◽
pp. 39-53
◽
1979 ◽
Vol 65
(4)
◽
pp. 1061-1065
Estimating the cumulative distribution function for the linear combination of gamma random variables
2017 ◽
Vol 20
(5)
◽
pp. 939-951