ExtDist (version 0.6-3)

SRTB_ab: The symmetric-reflected truncated beta (SRTB) distribution.

Description

Density, distribution, quantile, random number generation and parameter estimation functions for the SRTB distribution. Parameter estimation can be based on a weighted or unweighted i.i.d. sample and can be carried out numerically.

Usage

dSRTB_ab(x, shape1 = 2, shape2 = 3, a = 0, b = 1, params = list(shape1, shape2, a, b), ...)
pSRTB_ab(q, shape1 = 2, shape2 = 3, a = 0, b = 1, params = list(shape1  = 2, shape2 = 5, a = 0, b = 1), ...)
qSRTB_ab(p, shape1 = 2, shape2 = 3, a = 0, b = 1, params = list(shape1  = 2, shape2 = 5, a = 0, b = 1), ...)
rSRTB_ab(n, shape1 = 2, shape2 = 3, a = 0, b = 1, params = list(shape1, shape2, a, b), ...)
eSRTB_ab(X, w, method = "numerical.MLE", ...)
lSRTB_ab(X, w, shape1 = 2, shape2 = 3, a = 0, b = 1, params = list(shape1, shape2, a, b), logL = TRUE, ...)

Arguments

x,q

A vector of quantiles.

shape1,shape2

Shape parameters.

a,b

Boundary parameters.

params

A list that includes all named parameters.

...

Additional parameters.

p

A vector of probabilities.

n

Number of observations.

X

Sample observations.

w

An optional vector of sample weights.

method

Parameter estimation method.

logL

logical; if TRUE, lSRTB_ab gives the log-likelihood, otherwise the likelihood is given.

Value

dSRTB_ab gives the density, pSRTB_ab the distribution function, qSRTB_ab gives the quantile function, rSRTB_ab generates random variables, and eSRTB_ab estimates the parameters. lSRTB_ab provides the log-likelihood function and sSRTB_ab the score function.

Details

No details as of yet.

See Also

ExtDist for other standard distributions.

Examples

# Parameter estimation for a distribution with known shape parameters
X <- rSRTB_ab(n=500, shape1=2, shape2=10, a=1, b=2)
est.par <- eSRTB_ab(X)
plot(est.par)

# Extracting boundary and shape parameters
est.par[attributes(est.par)$par.type=="boundary"]
est.par[attributes(est.par)$par.type=="shape"]

# log-likelihood function
lSRTB_ab(X,param = est.par)