[ 
https://issues.apache.org/jira/browse/STATISTICS-31?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
 ]

Alex Herbert updated STATISTICS-31:
-----------------------------------
    Description: 
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}
 

  was:
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:

 

```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);
 }

```

 


> 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
>          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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