C# Class Accord.Statistics.Distributions.Univariate.LogLogisticDistribution

Inheritance: UnivariateContinuousDistribution

Show file Open project: accord-net/framework Class Usage Examples

Public Methods

Method	Description
Clone ( ) : object	Creates a new object that is a copy of the current instance.
ComplementaryDistributionFunction ( double x ) : double	Gets the complementary cumulative distribution function (ccdf) for this distribution evaluated at point `x`. This function is also known as the Survival function. The Complementary Cumulative Distribution Function (CCDF) is the complement of the Cumulative Distribution Function, or 1 minus the CDF.
DistributionFunction ( double x ) : double	Gets the cumulative distribution function (cdf) for this distribution evaluated at point `x`.
FromLocationShape ( double location, double shape ) : LogLogisticDistribution	Creates a new LogLogisticDistribution using the location-shape parametrization. In this parametrization, Beta is taken as 1 / shape.
HazardFunction ( double x ) : double	Gets the hazard function, also known as the failure rate or the conditional failure density function for this distribution evaluated at point `x`. The hazard function is the ratio of the probability density function f(x) to the survival function, S(x).
InverseDistributionFunction ( double p ) : double	Gets the inverse of the cumulative distribution function (icdf) for this distribution evaluated at probability `p`. This function is also known as the Quantile function.
LogLogisticDistribution ( ) : System	Constructs a Log-Logistic distribution with unit scale and unit shape.
LogLogisticDistribution ( [ alpha ) : System	Constructs a Log-Logistic distribution with the given scale and unit shape.
LogLogisticDistribution ( [ alpha, [ beta ) : System	Constructs a Log-Logistic distribution with the given scale and shape parameters.
ProbabilityDensityFunction ( double x ) : double	Gets the probability density function (pdf) for this distribution evaluated at point `x`.
QuantileDensityFunction ( double p ) : double	Gets the first derivative of the inverse distribution function (icdf) for this distribution evaluated at probability `p`.
ToString ( string format, IFormatProvider formatProvider ) : string	Returns a System.String that represents this instance.

Private Methods

Method	Description
initialize ( double scale, double shape ) : void

Method Details

Clone() public method

Creates a new object that is a copy of the current instance.

public Clone ( ) : object
return	object

ComplementaryDistributionFunction() public method

Gets the complementary cumulative distribution function (ccdf) for this distribution evaluated at point x. This function is also known as the Survival function.

The Complementary Cumulative Distribution Function (CCDF) is the complement of the Cumulative Distribution Function, or 1 minus the CDF.

public ComplementaryDistributionFunction ( double x ) : double
x	double	A single point in the distribution range.
return	double

DistributionFunction() public method

Gets the cumulative distribution function (cdf) for this distribution evaluated at point x.

public DistributionFunction ( double x ) : double
x	double	A single point in the distribution range.
return	double

FromLocationShape() public static method

Creates a new LogLogisticDistribution using the location-shape parametrization. In this parametrization, Beta is taken as 1 / shape.

public static FromLocationShape ( double location, double shape ) : LogLogisticDistribution
location	double	The location parameter μ (mu) [taken as μ = α].
shape	double	The distribution's shape value σ (sigma) [taken as σ = β].
return	LogLogisticDistribution

HazardFunction() public method

Gets the hazard function, also known as the failure rate or the conditional failure density function for this distribution evaluated at point x.

The hazard function is the ratio of the probability density function f(x) to the survival function, S(x).

public HazardFunction ( double x ) : double
x	double	A single point in the distribution range.
return	double

InverseDistributionFunction() public method

Gets the inverse of the cumulative distribution function (icdf) for this distribution evaluated at probability p. This function is also known as the Quantile function.

public InverseDistributionFunction ( double p ) : double
p	double	A probability value between 0 and 1.
return	double

LogLogisticDistribution() public method

Constructs a Log-Logistic distribution with unit scale and unit shape.

public LogLogisticDistribution ( ) : System
return	System

LogLogisticDistribution() public method

Constructs a Log-Logistic distribution with the given scale and unit shape.

public LogLogisticDistribution ( [ alpha ) : System
alpha	[	The distribution's scale value α (alpha).
return	System

LogLogisticDistribution() public method

Constructs a Log-Logistic distribution with the given scale and shape parameters.

public LogLogisticDistribution ( [ alpha, [ beta ) : System
alpha	[	The distribution's scale value α (alpha).
beta	[	The distribution's shape value β (beta).
return	System

ProbabilityDensityFunction() public method

Gets the probability density function (pdf) for this distribution evaluated at point x.

public ProbabilityDensityFunction ( double x ) : double
x	double	A single point in the distribution range.
return	double

QuantileDensityFunction() public method

Gets the first derivative of the inverse distribution function (icdf) for this distribution evaluated at probability p.

public QuantileDensityFunction ( double p ) : double
p	double	A probability value between 0 and 1.
return	double

ToString() public method

Returns a System.String that represents this instance.

public ToString ( string format, IFormatProvider formatProvider ) : string
format	string
formatProvider	IFormatProvider
return	string