[probdist] Continuous Distributions

Classes
class	BetaDist
	Extends the class ContinuousDistribution for the beta distribution [100]  (page 210) with shape parameters \(\alpha> 0\) and \(\beta> 0\), over the interval \([a,b]\), where \(a < b\). More...
class	BetaSymmetricalDist
	Specializes the class BetaDist to the case of a symmetrical beta distribution over the interval \([0,1]\), with shape parameters \(\alpha= \beta\). More...
class	CauchyDist
	Extends the class ContinuousDistribution for the Cauchy distribution [99]  (page 299) with location parameter \(\alpha\) and scale parameter \(\beta> 0\). More...
class	ChiDist
	Extends the class ContinuousDistribution for the chi distribution [99]  (page 417) with shape parameter \(\nu > 0\), where the number of degrees of freedom \(\nu\) is a positive integer. More...
class	ChiSquareDist
	Extends the class ContinuousDistribution for the chi-square distribution with \(n\) degrees of freedom, where \(n\) is a positive integer [99]  (page 416). More...
class	ChiSquareDistQuick
	Provides a variant of ChiSquareDist with faster but less accurate methods. More...
class	ChiSquareNoncentralDist
	Extends the class ContinuousDistribution for the noncentral chi-square distribution with \(\nu\) degrees of freedom and noncentrality parameter \(\lambda\), where \(\nu> 0\) and \(\lambda> 0\) [100]  (page 436). More...
class	ErlangDist
	Extends the class GammaDist for the special case of the Erlang distribution with shape parameter \(k > 0\) and scale parameter \(\lambda> 0\). More...
class	ExponentialDist
	Extends the class ContinuousDistribution for the exponential distribution [99]  (page 494) with mean \(1/\lambda\) where \(\lambda> 0\). More...
class	ExponentialDistFromMean
	Extends the ExponentialDist class with a constructor accepting as argument the mean \(1/\lambda\) instead of the rate \(\lambda\). More...
class	ExtremeValueDist
	This class has been replaced by GumbelDist . More...
class	FatigueLifeDist
	Extends the class ContinuousDistribution for the fatigue life distribution [20]  with location parameter \(\mu\), scale parameter \(\beta\) and shape parameter \(\gamma\). More...
class	FisherFDist
	Extends the class ContinuousDistribution for the Fisher F distribution with \(n_1\) and \(n_2\) degrees of freedom, where \(n_1\) and \(n_2\) are positive integers. More...
class	FoldedNormalDist
	Extends the class ContinuousDistribution for the folded normal distribution with parameters \(\mu\ge0\) and \(\sigma> 0\). More...
class	FrechetDist
	Extends the class ContinuousDistribution for the Fréchet distribution [100]  (page 3), with location parameter \(\delta\), scale parameter \(\beta> 0\), and shape parameter \(\alpha> 0\), where we use the notation \(z = (x-\delta)/\beta\). More...
class	GammaDist
	Extends the class ContinuousDistribution for the gamma distribution [99]  (page 337) with shape parameter \(\alpha> 0\) and scale parameter \(\lambda> 0\). More...
class	GammaDistFromMoments
	Extends the GammaDist distribution with constructors accepting the mean \(\mu\) and variance \(\sigma^2\) as arguments instead of a shape parameter \(\alpha\) and a scale parameter \(\lambda\). More...
class	GumbelDist
	Extends the class ContinuousDistribution for the Gumbel distribution [100]  (page 2), with location parameter \(\delta\) and scale parameter \(\beta\neq0\). More...
class	HalfNormalDist
	Extends the class ContinuousDistribution for the half-normal distribution with parameters \(\mu\) and \(\sigma> 0\). More...
class	HyperbolicSecantDist
	Extends the class ContinuousDistribution for the hyperbolic secant distribution with location parameter \(\mu\) and scale parameter \(\sigma> 0\). More...
class	HypoExponentialDist
	This class implements the hypoexponential distribution, also called the generalized Erlang distribution. More...
class	HypoExponentialDistEqual
	This class implements the hypoexponential distribution for the case of equidistant \(\lambda_i = (n+1-i)h\). More...
class	HypoExponentialDistQuick
	This class is a subclass of HypoExponentialDist and also implements the hypoexponential distribution. More...
class	InverseGammaDist
	Extends the class ContinuousDistribution for the inverse gamma distribution with shape parameter \(\alpha> 0\) and scale parameter \(\beta> 0\), also known as the Pearson type V distribution. More...
class	InverseGaussianDist
	Extends the class ContinuousDistribution for the inverse Gaussian distribution with location parameter \(\mu> 0\) and scale parameter \(\lambda> 0\). More...
class	JohnsonSBDist
	Extends the class ContinuousDistribution for the Johnson \(S_B\) distribution [101], [118], [63]  with shape parameters \(\gamma\) and \(\delta> 0\), location parameter \(\xi\), and scale parameter \(\lambda>0\). More...
class	JohnsonSLDist
	Extends the class ContinuousDistribution for the Johnson \(S_L\) distribution (see [101], [99] ). More...
class	JohnsonSUDist
	Extends the class ContinuousDistribution for the Johnson \(S_U\) distribution (see [118]  (page 316)). More...
class	JohnsonSystem
	This class contains common parameters and methods for the Johnson system of distributions [101], [99]  with shape parameters \(\gamma\) and \(\delta> 0\), location parameter \(\xi\), and scale parameter \(\lambda>0\). More...
class	LaplaceDist
	Extends the class ContinuousDistribution for the Laplace distribution (see, e.g., [100]  (page 165)). More...
class	LogisticDist
	Extends the class ContinuousDistribution for the logistic distribution (e.g., [100]  (page 115)). More...
class	LoglogisticDist
	Extends the class ContinuousDistribution for the Log-Logistic distribution with shape parameter \(\alpha> 0\) and scale parameter \(\beta> 0\). More...
class	LognormalDist
	Extends the class ContinuousDistribution for the lognormal distribution [99] . More...
class	LognormalDistFromMoments
	Extends the LognormalDist class with a constructor accepting the mean \(m\) and the variance \(v\) of the distribution as arguments. More...
class	NakagamiDist
	Extends the class ContinuousDistribution for the Nakagami distribution with location parameter \(a\), scale parameter \(\lambda> 0\) and shape parameter \(c > 0\). More...
class	NormalDist
	Extends the class ContinuousDistribution for the normal distribution (e.g., [99]  (page 80)). More...
class	NormalDistQuick
	A variant of the class NormalDist (for the normal distribution with mean \(\mu\) and variance \(\sigma^2\)). More...
class	NormalInverseGaussianDist
	Extends the class ContinuousDistribution for the normal inverse gaussian distribution with location parameter \(\mu\), scale parameter \(\delta> 0\), tail heavyness \(\alpha> 0\), and asymmetry parameter \(\beta\) such that \(0 \le|\beta| < \alpha\). More...
class	ParetoDist
	Extends the class ContinuousDistribution for a distribution from the Pareto family, with shape parameter \(\alpha> 0\) and location parameter \(\beta> 0\) [99]  (page 574). More...
class	Pearson5Dist
	THIS CLASS HAS BEEN RENAMED InverseGammaDist . More...
class	Pearson6Dist
	Extends the class ContinuousDistribution for the Pearson type VI distribution with shape parameters \(\alpha_1 > 0\) and \(\alpha_2 > 0\), and scale parameter \(\beta> 0\). More...
class	PiecewiseLinearEmpiricalDist
	Extends the class ContinuousDistribution for a piecewise-linear approximation of the empirical distribution function, based on the observations \(X_{(1)},…,X_{(n)}\) (sorted by increasing order), and defined as follows (e.g., [118]  (page 318)). More...
class	PowerDist
	Extends the class ContinuousDistribution for the power distribution [57]  (page 161) with shape parameter \(c > 0\), over the interval \([a,b]\), where \(a < b\). More...
class	RayleighDist
	This class extends the class ContinuousDistribution for the Rayleigh distribution [57]  with location parameter \(a\), and scale parameter \(\beta> 0\). More...
class	StudentDist
	Extends the class ContinuousDistribution for the Student \(t\)-distribution [100]  (page 362) with \(n\) degrees of freedom, where \(n\) is a positive integer. More...
class	StudentDistQuick
	Extends the class StudentDist for the Student \(t\)-distribution. More...
class	TriangularDist
	Extends the class ContinuousDistribution for the triangular distribution (see [100]  (page 297) and [118]  (page 317)) with domain \([a,b]\) and mode (or shape parameter) \(m\), where \(a\le m\le b\). More...
class	TruncatedDist
	This container class takes an arbitrary continuous distribution and truncates it to an interval \([a,b]\), where \(a\) and \(b\) can be finite or infinite. More...
class	UniformDist
	Extends the class ContinuousDistribution for the uniform distribution [100]  (page 276) over the interval \([a,b]\). More...
class	WeibullDist
	This class extends the class ContinuousDistribution for the Weibull distribution [99]  (page 628) with shape parameter \(\alpha> 0\), location parameter \(\delta\), and scale parameter \(\lambda> 0\). More...

Detailed Description