SSRTB {ExtDist} R Documentation

## The standard symmetric-reflected truncated beta (SSRTB) distribution.

### Description

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

### Usage

dSSRTB(x, shape1 = 2, shape2 = 3, params = list(shape1, shape2), ...)

pSSRTB(q, shape1 = 2, shape2 = 3, params = list(shape1, shape2), ...)

qSSRTB(p, shape1 = 2, shape2 = 3, params = list(shape1, shape2), ...)

rSSRTB(n, shape1 = 2, shape2 = 3, params = list(shape1, shape2), ...)

eSSRTB(X, w, method = "numerical.MLE", ...)

lSSRTB(
X,
w,
shape1 = 2,
shape2 = 3,
params = list(shape1, shape2),
logL = TRUE,
...
)


### Arguments

 x, q A vector of quantiles. shape1, shape2 Shape 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, lSSRTB gives the log-likelihood, otherwise the likelihood is given.

### Details

No details as of yet.

### Value

dSSRTB gives the density, pSSRTB the distribution function, qSSRTB the quantile function, rSSRTB generates random variables, eSSRTB estimates the parameters and lSSRTB provides the log-likelihood.

### Author(s)

Haizhen Wu.

ExtDist for other standard distributions.

### Examples

# Parameter estimation for a distribution with known shape parameters
est.par <- eSSRTB(X); est.par
plot(est.par)

#  Fitted density curve and histogram
den.x <- seq(min(X),max(X),length=100)
den.y <- dSSRTB(den.x,shape1=est.par$shape1,shape2=est.par$shape2)
hist(X, breaks=10, probability=TRUE, ylim = c(0,1.2*max(den.y)))
lines(den.x, den.y, col="blue")
lines(density(X), lty=2)

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

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


[Package ExtDist version 0.7-2 Index]