rmutil (version 1.1.4)

Generalized Logistic: Generalized Logistic Distribution

Description

These functions provide information about the generalized logistic distribution with location parameter equal to m, dispersion equal to s, and family parameter equal to f: density, cumulative distribution, quantiles, log hazard, and random generation.

The generalized logistic distribution has density $$ f(y) = \frac{\nu \sqrt{3} \exp(-\sqrt{3} (y-\mu)/(\sigma \pi))}{ \sigma \pi (1+\exp(-\sqrt{3} (y-\mu)/(\sigma \pi)))^{\nu+1}}$$

where \(\mu\) is the location parameter of the distribution, \(\sigma\) is the dispersion, and \(\nu\) is the family parameter.

\(\nu=1\) gives a logistic distribution.

Usage

dglogis(y, m=0, s=1, f=1, log=FALSE)
pglogis(q, m=0, s=1, f=1)
qglogis(p, m=0, s=1, f=1)
rglogis(n, m=0, s=1, f=1)

Arguments

y

vector of responses.

q

vector of quantiles.

p

vector of probabilities

n

number of values to generate

m

vector of location parameters.

s

vector of dispersion parameters.

f

vector of family parameters.

log

if TRUE, log probabilities are supplied.

See Also

dlogis for the logistic distribution.

Examples

# NOT RUN {
dglogis(5, 5, 1, 2)
pglogis(5, 5, 1, 2)
qglogis(0.25, 5, 1, 2)
rglogis(10, 5, 1, 2)
# }