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public interface RealDistribution
Base interface for distributions on the reals.
| Method Summary | |
|---|---|
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)
Deprecated. As of 3.1. In 4.0, this method will be renamed probability(double x0, double x1). |
double |
density(double x)
Returns the probability density function (PDF) of this distribution evaluated at the specified point x. |
double |
getNumericalMean()
Use this method to get the numerical value of the mean of this distribution. |
double |
getNumericalVariance()
Use this method to get the numerical value of the variance of this distribution. |
double |
getSupportLowerBound()
Access the lower bound of the support. |
double |
getSupportUpperBound()
Access the upper bound of the support. |
double |
inverseCumulativeProbability(double p)
Computes the quantile function of this distribution. |
boolean |
isSupportConnected()
Use this method to get information about whether the support is connected, i.e. |
boolean |
isSupportLowerBoundInclusive()
Deprecated. to be removed in 4.0 |
boolean |
isSupportUpperBoundInclusive()
Deprecated. to be removed in 4.0 |
double |
probability(double x)
For a random variable X whose values are distributed according
to this distribution, this method returns P(X = x). |
void |
reseedRandomGenerator(long seed)
Reseed the random generator used to generate samples. |
double |
sample()
Generate a random value sampled from this distribution. |
double[] |
sample(int sampleSize)
Generate a random sample from the distribution. |
| Method Detail |
|---|
double probability(double x)
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 (PMF)
for the distribution.
x - the point at which the PMF is evaluated
xdouble density(double x)
x. In general, the PDF is
the derivative of the CDF.
If the derivative does not exist at x, then an appropriate
replacement should be returned, e.g. Double.POSITIVE_INFINITY,
Double.NaN, or the limit inferior or limit superior of the
difference quotient.
x - the point at which the PDF is evaluated
xdouble cumulativeProbability(double x)
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
(CDF) for this distribution.
x - the point at which the CDF is evaluated
x
@Deprecated
double cumulativeProbability(double x0,
double x1)
throws NumberIsTooLargeException
probability(double x0, double x1).
X whose values are distributed according
to this distribution, this method returns P(x0 < X <= x1).
x0 - the exclusive lower boundx1 - the inclusive upper bound
x0 and x1,
excluding the lower and including the upper endpoint
NumberIsTooLargeException - if x0 > x1
double inverseCumulativeProbability(double p)
throws OutOfRangeException
X distributed according to this distribution, the
returned value is
inf{x in R | P(X<=x) >= p} for 0 < p <= 1,inf{x in R | P(X<=x) > 0} for p = 0.
p - the cumulative probability
p-quantile of this distribution
(largest 0-quantile for p = 0)
OutOfRangeException - if p < 0 or p > 1double getNumericalMean()
Double.NaN if it is not defineddouble getNumericalVariance()
Double.POSITIVE_INFINITY as
for certain cases in TDistribution) or Double.NaN if it
is not defineddouble getSupportLowerBound()
inverseCumulativeProbability(0). In other words, this
method must return
inf {x in R | P(X <= x) > 0}.
Double.NEGATIVE_INFINITY)double getSupportUpperBound()
inverseCumulativeProbability(1). In other words, this
method must return
inf {x in R | P(X <= x) = 1}.
Double.POSITIVE_INFINITY)boolean isSupportLowerBoundInclusive()
getSupporLowerBound() is finite and
density(getSupportLowerBound()) returns a non-NaN, non-infinite
value.
boolean isSupportUpperBoundInclusive()
getSupportUpperBound() is finite and
density(getSupportUpperBound()) returns a non-NaN, non-infinite
value.
boolean isSupportConnected()
void reseedRandomGenerator(long seed)
seed - the new seeddouble sample()
double[] sample(int sampleSize)
sampleSize - the number of random values to generate
NotStrictlyPositiveException - if sampleSize is not positive
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