Class UniformRealDistribution
java.lang.Object
org.hipparchus.distribution.continuous.AbstractRealDistribution
org.hipparchus.distribution.continuous.UniformRealDistribution
 All Implemented Interfaces:
Serializable
,RealDistribution
Implementation of the uniform real distribution.

Field Summary
Fields inherited from class org.hipparchus.distribution.continuous.AbstractRealDistribution
DEFAULT_SOLVER_ABSOLUTE_ACCURACY

Constructor Summary
ConstructorDescriptionCreate a standard uniform real distribution with lower bound (inclusive) equal to zero and upper bound (exclusive) equal to one.UniformRealDistribution
(double lower, double upper) Create a uniform real distribution using the given lower and upper bounds. 
Method Summary
Modifier and TypeMethodDescriptiondouble
cumulativeProbability
(double x) For a random variableX
whose values are distributed according to this distribution, this method returnsP(X <= x)
.double
density
(double x) Returns the probability density function (PDF) of this distribution evaluated at the specified pointx
.double
Use this method to get the numerical value of the mean of this distribution.double
Use this method to get the numerical value of the variance of this distribution.double
Access the lower bound of the support.double
Access the upper bound of the support.double
inverseCumulativeProbability
(double p) Computes the quantile function of this distribution.boolean
Use this method to get information about whether the support is connected, i.e.Methods inherited from class org.hipparchus.distribution.continuous.AbstractRealDistribution
getSolverAbsoluteAccuracy, logDensity, probability

Constructor Details

UniformRealDistribution
public UniformRealDistribution()Create a standard uniform real distribution with lower bound (inclusive) equal to zero and upper bound (exclusive) equal to one. 
UniformRealDistribution
Create a uniform real distribution using the given lower and upper bounds. Parameters:
lower
 Lower bound of this distribution (inclusive).upper
 Upper bound of this distribution (exclusive). Throws:
MathIllegalArgumentException
 iflower >= upper
.


Method Details

density
public double density(double x) Returns the probability density function (PDF) of this distribution evaluated at the specified pointx
. In general, the PDF is the derivative of theCDF
. If the derivative does not exist atx
, 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. Parameters:
x
 the point at which the PDF is evaluated Returns:
 the value of the probability density function at point
x

cumulativeProbability
public double cumulativeProbability(double x) For a random variableX
whose values are distributed according to this distribution, this method returnsP(X <= x)
. In other words, this method represents the (cumulative) distribution function (CDF) for this distribution. Parameters:
x
 the point at which the CDF is evaluated Returns:
 the probability that a random variable with this
distribution takes a value less than or equal to
x

inverseCumulativeProbability
Computes the quantile function of this distribution. For a random variableX
distributed according to this distribution, the returned value isinf{x in R  P(X<=x) >= p}
for0 < p <= 1
,inf{x in R  P(X<=x) > 0}
forp = 0
.
RealDistribution.getSupportLowerBound()
forp = 0
,RealDistribution.getSupportUpperBound()
forp = 1
.
 Specified by:
inverseCumulativeProbability
in interfaceRealDistribution
 Overrides:
inverseCumulativeProbability
in classAbstractRealDistribution
 Parameters:
p
 the cumulative probability Returns:
 the smallest
p
quantile of this distribution (largest 0quantile forp = 0
)  Throws:
MathIllegalArgumentException
 ifp < 0
orp > 1

getNumericalMean
public double getNumericalMean()Use this method to get the numerical value of the mean of this distribution. For lower boundlower
and upper boundupper
, the mean is0.5 * (lower + upper)
. Returns:
 the mean or
Double.NaN
if it is not defined

getNumericalVariance
public double getNumericalVariance()Use this method to get the numerical value of the variance of this distribution. For lower boundlower
and upper boundupper
, the variance is(upper  lower)^2 / 12
. Returns:
 the variance (possibly
Double.POSITIVE_INFINITY
as for certain cases inTDistribution
) orDouble.NaN
if it is not defined

getSupportLowerBound
public double getSupportLowerBound()Access the lower bound of the support. This method must return the same value asinverseCumulativeProbability(0)
. In other words, this method must return
The lower bound of the support is equal to the lower bound parameter of the distribution.inf {x in R  P(X <= x) > 0}
. Returns:
 lower bound of the support

getSupportUpperBound
public double getSupportUpperBound()Access the upper bound of the support. This method must return the same value asinverseCumulativeProbability(1)
. In other words, this method must return
The upper bound of the support is equal to the upper bound parameter of the distribution.inf {x in R  P(X <= x) = 1}
. Returns:
 upper bound of the support

isSupportConnected
public boolean isSupportConnected()Use this method to get information about whether the support is connected, i.e. whether all values between the lower and upper bound of the support are included in the support. The support of this distribution is connected. Returns:
true
