How does scipy calculate the binomial CDF so fast?
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I ran scipy.stats.binom.cdf(500006, 1000000, 0.5) and it took less than a milisecond. This is crazy as binomial CDF involves summing up a bunch of binomial coefficients. What approximation algorithm goes behind the implementation? Thanks!
binomial computational-statistics scipy
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$begingroup$
I ran scipy.stats.binom.cdf(500006, 1000000, 0.5) and it took less than a milisecond. This is crazy as binomial CDF involves summing up a bunch of binomial coefficients. What approximation algorithm goes behind the implementation? Thanks!
binomial computational-statistics scipy
$endgroup$
add a comment |
$begingroup$
I ran scipy.stats.binom.cdf(500006, 1000000, 0.5) and it took less than a milisecond. This is crazy as binomial CDF involves summing up a bunch of binomial coefficients. What approximation algorithm goes behind the implementation? Thanks!
binomial computational-statistics scipy
$endgroup$
I ran scipy.stats.binom.cdf(500006, 1000000, 0.5) and it took less than a milisecond. This is crazy as binomial CDF involves summing up a bunch of binomial coefficients. What approximation algorithm goes behind the implementation? Thanks!
binomial computational-statistics scipy
binomial computational-statistics scipy
asked 2 hours ago
John JiangJohn Jiang
42628
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There's a connection between the binomial cdf and the beta cdf. As a result, most software implementations of binomial cdf use a call to a regularized incomplete beta function. That's what scipy.stats does also, as it says in the documentation of special.bdtr
(which is what gets called when you ask for a binomial cdf)
https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.bdtr.html
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1 Answer
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$begingroup$
There's a connection between the binomial cdf and the beta cdf. As a result, most software implementations of binomial cdf use a call to a regularized incomplete beta function. That's what scipy.stats does also, as it says in the documentation of special.bdtr
(which is what gets called when you ask for a binomial cdf)
https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.bdtr.html
$endgroup$
add a comment |
$begingroup$
There's a connection between the binomial cdf and the beta cdf. As a result, most software implementations of binomial cdf use a call to a regularized incomplete beta function. That's what scipy.stats does also, as it says in the documentation of special.bdtr
(which is what gets called when you ask for a binomial cdf)
https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.bdtr.html
$endgroup$
add a comment |
$begingroup$
There's a connection between the binomial cdf and the beta cdf. As a result, most software implementations of binomial cdf use a call to a regularized incomplete beta function. That's what scipy.stats does also, as it says in the documentation of special.bdtr
(which is what gets called when you ask for a binomial cdf)
https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.bdtr.html
$endgroup$
There's a connection between the binomial cdf and the beta cdf. As a result, most software implementations of binomial cdf use a call to a regularized incomplete beta function. That's what scipy.stats does also, as it says in the documentation of special.bdtr
(which is what gets called when you ask for a binomial cdf)
https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.bdtr.html
edited 12 mins ago
answered 2 hours ago
Glen_b♦Glen_b
210k22401743
210k22401743
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