## org.apache.commons.math.distribution
Class AbstractDistribution

    java.lang.Object
      org.apache.commons.math.distribution.AbstractDistribution

All Implemented Interfaces:
  Serializable, Distribution

Direct Known Subclasses:
  AbstractContinuousDistribution, AbstractIntegerDistribution

    public abstract class AbstractDistribution

extends Object
implements Distribution, Serializable

Base class for probability distributions.

Version:
  $Revision: 1054524 $ $Date: 2011-01-03 05:59:18 +0100 (lun. 03 janv. 2011) $
See Also:
  Serialized Form

Field Summary
`private static long` `serialVersionUID` Serializable version identifier

Constructor Summary
`protected` `AbstractDistribution()` Default constructor.

Method Summary
`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).

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Methods inherited from interface org.apache.commons.math.distribution.Distribution
`cumulativeProbability`

Field Detail

### serialVersionUID

    private static final long serialVersionUID

  Serializable version identifier

  See Also:
    Constant Field Values

Constructor Detail

### AbstractDistribution

    protected AbstractDistribution()

  Default constructor.

Method Detail

### cumulativeProbability

    public 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).

  The default implementation uses the identity

  P(x0 ≤ X ≤ x1) = P(X ≤ x1) - P(X ≤ x0)

  Specified by:
    `cumulativeProbability` in interface `Distribution`
  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.
    `IllegalArgumentException` - if `x0 > x1`

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