p_laplace {errint}R Documentation

Probability Density Functions

Description

p_laplace computes the probability density function of a random variable that has a Laplace distribution with parameters \mu and \sigma.

p_gaussian computes the probability density function of a random variable that has a Gaussian distribution with parameters \mu and {\sigma}^2.

p_beta computes the probability density function of a random variable that has a Beta distribution with parameters \alpha and \beta.

p_weibull computes the probability density function of a random variable that has a Weibull distribution with parameters \kappa and \lambda.

p_moge computes the probability density function of a random variable that has a MOGE distribution with parameters \lambda,\alpha and \theta.

Usage

p_laplace(x, mu = 0, sigma = 1)

p_gaussian(x, mu = 0, sigma_cuad = 1)

p_beta(x, alpha = 1, beta = 1)

p_weibull(x, k = 1, lambda = 1)

p_moge(x, lambda = 1, alpha = 1, theta = 1)

Arguments

x

vector of points which values we want to compute.

mu

location or mean parameter of the Laplace or Gaussian distribution, respectively.

sigma

scale parameter of the Laplace distribution.

sigma_cuad

variance parameter of the Gaussian distribution.

alpha

shape1 parameter of the Beta distribution or second parameter of the MOGE distribution.

beta

shape2 parameter of the Beta distribution.

k

shape parameter of the Weibull distribution.

lambda

scale parameter of the Weibull distribution or first parameter of the MOGE distribution.

theta

third parameter of the MOGE distribution.

Value

Returns a numeric object corresponding to the value of the probability density function for the given x and distribution parameters.

Author(s)

Jesus Prada, jesus.prada@estudiante.uam.es

References

Link to the scientific paper

Prada, Jesus, and Jose Ramon Dorronsoro. "SVRs and Uncertainty Estimates in Wind Energy Prediction." Advances in Computational Intelligence. Springer International Publishing, 2015. 564-577,

with theoretical background for this package is provided below.

http://link.springer.com/chapter/10.1007/978-3-319-19222-2_47

See Also

dlaplace

dnorm

dbeta

dweibull

Examples

p_laplace(0.3)
p_laplace(0.3,mu=0.35,sigma=0.2)


p_gaussian(0.3)
p_gaussian(0.3,mu=0.35,sigma_cuad=0.2)


p_beta(0.3)
p_beta(0.3,alpha=0.35,beta=0.2)


p_weibull(0.3)
p_weibull(0.3,k=0.35,lambda=0.2)


p_moge(0.3)
p_moge(0.3,lambda=0.2,alpha=0.3,theta=0.4)

[Package errint version 1.0 Index]