Distribution (Commons Math 2.2 API)

All Known Subinterfaces:

BetaDistribution, BinomialDistribution, CauchyDistribution, ChiSquaredDistribution, ContinuousDistribution, DiscreteDistribution, ExponentialDistribution, FDistribution, GammaDistribution, HypergeometricDistribution, IntegerDistribution, NormalDistribution, PascalDistribution, PoissonDistribution, TDistribution, WeibullDistribution, ZipfDistribution

All Known Implementing Classes:

AbstractContinuousDistribution, AbstractDistribution, AbstractIntegerDistribution, BetaDistributionImpl, BinomialDistributionImpl, CauchyDistributionImpl, ChiSquaredDistributionImpl, ExponentialDistributionImpl, FDistributionImpl, GammaDistributionImpl, HypergeometricDistributionImpl, NormalDistributionImpl, PascalDistributionImpl, PoissonDistributionImpl, TDistributionImpl, WeibullDistributionImpl, ZipfDistributionImpl
```
public interface Distribution
```
Base interface for probability distributions.

Version:

$Revision: 1054524 $ $Date: 2011-01-03 05:59:18 +0100 (lun. 03 janv. 2011) $

Method Summary

All Methods Instance Methods Abstract Methods
Modifier and Type	Method	Description
`double`	`cumulativeProbability(double x)`	For a random variable X whose values are distributed according to this distribution, this method returns P(X ≤ x).
`double`	`cumulativeProbability(double x0, double x1)`	For a random variable X whose values are distributed according to this distribution, this method returns P(x0 ≤ X ≤ x1).

- Method Detail
  - cumulativeProbability
```
double cumulativeProbability(double x)
                      throws MathException
```
    For a random variable X whose values are distributed according to this distribution, this method returns P(X ≤ x). In other words, this method represents the (cumulative) distribution function, or CDF, for this distribution.
    
    Parameters:
    
    x - the value at which the distribution function is evaluated.
    
    Returns:
    
    the probability that a random variable with this distribution takes a value less than or equal to x
    
    Throws:
    
    MathException - if the cumulative probability can not be computed due to convergence or other numerical errors.
  - cumulativeProbability
```
double cumulativeProbability(double x0,
                             double x1)
                      throws MathException
```
    For a random variable X whose values are distributed according to this distribution, this method returns P(x0 ≤ X ≤ x1).
    
    Parameters:
    
    x0 - the (inclusive) lower bound
    
    x1 - the (inclusive) upper bound
    
    Returns:
    
    the probability that a random variable with this distribution will take a value between x0 and x1, including the endpoints
    
    Throws:
    
    MathException - if the cumulative probability can not be computed due to convergence or other numerical errors.
    
    java.lang.IllegalArgumentException - if x0 > x1