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Posted to issues@commons.apache.org by "Alex Herbert (Jira)" <ji...@apache.org> on 2021/07/30 17:51:00 UTC
[jira] [Resolved] (STATISTICS-31) Add survival probability function
to continuous distributions
[ https://issues.apache.org/jira/browse/STATISTICS-31?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]
Alex Herbert resolved STATISTICS-31.
------------------------------------
Fix Version/s: 1.0
Resolution: Implemented
> Add survival probability function to continuous distributions
> -------------------------------------------------------------
>
> Key: STATISTICS-31
> URL: https://issues.apache.org/jira/browse/STATISTICS-31
> Project: Apache Commons Statistics
> Issue Type: New Feature
> Reporter: Benjamin W Trent
> Priority: Major
> Fix For: 1.0
>
> Time Spent: 1h 20m
> Remaining Estimate: 0h
>
> It is useful to know the [survival function|https://en.wikipedia.org/wiki/Survival_function] of a number given a continuous distribution.
> While this can be approximated with
> {noformat}
> 1 - cdf(x){noformat}
> , there is an opportunity for greater accuracy in certain distributions.
>
> A good example of this is the gamma distribution. The survival function for that distribution would probably look similar to:
>
> {code:java}
> @Override
> public double survivalProbability(double x) {
> if (x <= SUPPORT_LO) {
> return 1;
> } else if (x >= SUPPORT_HI) {
> return 0;
> }
> return RegularizedGamma.Q.value(shape, x / scale);
> }
> {code}
>
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