Normal_sym_trunc_ab {ExtDist} R Documentation

The symmetric truncated normal distribution.

Description

Density, distribution, quantile, random number generation and parameter estimation functions for the symmetric truncated normal distribution with parameters, sigma, a and b which represent the lower and upper truncation points respectively. Parameter estimation can be based on a weighted or unweighted i.i.d sample and can be carried out numerically.

Usage

dNormal_sym_trunc_ab(
x,
sigma = 0.3,
a = 0,
b = 1,
params = list(sigma, a, b),
...
)

pNormal_sym_trunc_ab(
q,
sigma = 0.3,
a = 0,
b = 1,
params = list(mu = 2, sigma = 5, a = 0, b = 1),
...
)

qNormal_sym_trunc_ab(
p,
sigma = 0.3,
a = 0,
b = 1,
params = list(mu = 2, sigma = 5, a = 0, b = 1),
...
)

rNormal_sym_trunc_ab(
n,
mu = 2,
sigma = 3,
a = 0,
b = 1,
params = list(sigma, a, b),
...
)

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

lNormal_sym_trunc_ab(
X,
w,
mu = 2,
sigma = 3,
a = 0,
b = 1,
params = list(sigma, a, b),
logL = TRUE,
...
)


Arguments

 x, q A vector of quantiles. a, b Boundary parameters. params A list that includes all named parameters. ... Additional parameters p A vector of probabilities. n Number of observations. mu, sigma Shape parameters. X Sample observations. w An optional vector of sample weights. method Parameter estimation method. logL logical;if TRUE, lNormal_sym_trunc_ab gives the log-likelihood, otherwise the likelihood is given.

Details

The normal symmetric truncated distribution is a special case of the trucated normal distribution. See Normal_trunc_ab.

Value

dNormal_sym_trunc_ab gives the density, pNormal_sym_trunc_ab the distribution function, qNormal_sym_trunc_ab the quantile function, rNormal_sym_trunc_ab generates random deviates,and eNormal_sym_trunc_ab estimates the parameters. lNormal_sym_trunc_ab provides the log-likelihood function.

Author(s)

Haizhen Wu and A. Jonathan R. Godfrey.