| java.lang.Object
 org.apache.commons.math.distribution.AbstractDistribution
org.apache.commons.math.distribution.AbstractIntegerDistribution
All known Subclasses: org.apache.commons.math.distribution.BinomialDistributionImpl, org.apache.commons.math.distribution.HypergeometricDistributionImpl, org.apache.commons.math.distribution.PoissonDistributionImpl,
| AbstractIntegerDistribution | | abstract public class AbstractIntegerDistribution extends AbstractDistribution implements IntegerDistribution,Serializable(Code) | | Base class for integer-valued discrete distributions. Default
implementations are provided for some of the methods that do not vary
from distribution to distribution.
version:
$Revision: 348519 $ $Date: 2005-11-23 12:12:18 -0700 (Wed, 23 Nov 2005) $ |
| Method Summary | |
| public double | cumulativeProbability(double x)
For a random variable X whose values are distributed according
to this distribution, this method returns P(X ≤ x). | | abstract public double | cumulativeProbability(int x)
For a random variable X whose values are distributed according
to this distribution, this method returns P(X ≤ x). | | public double | cumulativeProbability(int x0, int x1)
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
Parameters:
x1 - the inclusive, upper bound the cumulative probability. | | abstract protected int | getDomainLowerBound(double p)
Access the domain value lower bound, based on p, used to
bracket a PDF root. | | abstract protected int | getDomainUpperBound(double p)
Access the domain value upper bound, based on p, used to
bracket a PDF root. | | public int | inverseCumulativeProbability(double p)
For a random variable X whose values are distributed according
to this distribution, this method returns the largest x, such
that P(X ≤ x) ≤ p. | | public double | probability(double x)
For a random variable X whose values are distributed according
to this distribution, this method returns P(X = x). |
| AbstractIntegerDistribution | | protected AbstractIntegerDistribution()(Code) | | Default constructor.
|
| cumulativeProbability | | public double cumulativeProbability(double x) throws MathException(Code) | | 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.
If x does not represent an integer value, the CDF is
evaluated at the greatest integer less than x.
Parameters:
x - the value at which the distribution function is evaluated. cumulative probability that a random variable with thisdistribution takes a value less than or equal to x
throws:
MathException - if the cumulative probability can not becomputed due to convergence or other numerical errors. |
| cumulativeProbability | | abstract public double cumulativeProbability(int x) throws MathException(Code) | | 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 probability distribution function, or PDF,
for this distribution.
Parameters:
x - the value at which the PDF is evaluated. PDF for this distribution.
throws:
MathException - if the cumulative probability can not becomputed due to convergence or other numerical errors. |
| cumulativeProbability | | public double cumulativeProbability(int x0, int x1) throws MathException(Code) | | 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
Parameters:
x1 - the inclusive, upper bound the cumulative probability.
throws:
MathException - if the cumulative probability can not becomputed due to convergence or other numerical errors.
throws:
IllegalArgumentException - if x0 > x1 |
| getDomainLowerBound | | abstract protected int getDomainLowerBound(double p)(Code) | | Access the domain value lower bound, based on p, used to
bracket a PDF root. This method is used by
AbstractIntegerDistribution.inverseCumulativeProbability(double) to find critical values.
Parameters:
p - the desired probability for the critical value domain value lower bound, i.e.P(X < lower bound) < p |
| getDomainUpperBound | | abstract protected int getDomainUpperBound(double p)(Code) | | Access the domain value upper bound, based on p, used to
bracket a PDF root. This method is used by
AbstractIntegerDistribution.inverseCumulativeProbability(double) to find critical values.
Parameters:
p - the desired probability for the critical value domain value upper bound, i.e.P(X < upper bound) > p |
| inverseCumulativeProbability | | public int inverseCumulativeProbability(double p) throws MathException(Code) | | For a random variable X whose values are distributed according
to this distribution, this method returns the largest x, such
that P(X ≤ x) ≤ p.
Parameters:
p - the desired probability the largest x such that P(X ≤ x) <= p
throws:
MathException - if the inverse cumulative probability can not becomputed due to convergence or other numerical errors.
throws:
IllegalArgumentException - if p < 0 or p > 1 |
| probability | | public double probability(double x)(Code) | | 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 probability mass function, or PMF, for the distribution.
If x does not represent an integer value, 0 is returned.
Parameters:
x - the value at which the probability density function is evaluated the value of the probability density function at x |
| Methods inherited from org.apache.commons.math.distribution.AbstractDistribution | public double cumulativeProbability(double x0, double x1) throws MathException(Code)(Java Doc)
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