jsep: Jones Skew Exponential Power

In neodistr: Neo-Normal Distribution

Jones Skew Exponential Power

Description

To calculate density function, distribution function, quantile function, and build data from random generator function for the Jones Skew Exponential Power

Usage

djsep(x, mu = 0, sigma = 1, alpha = 2, beta = 2, log = FALSE)

pjsep(
  q,
  mu = 0,
  sigma = 1,
  alpha = 2,
  beta = 2,
  lower.tail = TRUE,
  log.p = FALSE
)

qjsep(
  p,
  mu = 0,
  sigma = 1,
  alpha = 2,
  beta = 2,
  lower.tail = TRUE,
  log.p = FALSE
)

rjsep(n, mu = 0, sigma = 1, alpha = 2, beta = 2)

Arguments

x, q	vector of quantiles.
mu	a location parameter.
sigma	a scale parameter.
alpha	a shape parameter (left tail heaviness parameter).
beta	a shape parameter (right tail heaviness parameter).
log, log.p	logical; if TRUE, probabilities p are given as log(p) The default value of this parameter is FALSE
lower.tail	logical;if TRUE (default), probabilities are P\left[ X\leq x\right], otherwise, P\left[ X>x\right] .
p	vectors of probabilities.
n	number of observations.

Details

Jones Skew Exponential Power

The Jones Skew Exponential Power with parameters \mu, \sigma,\alpha, and \beta has density:

f(y | \mu, \sigma, \alpha, \beta) = \left\{ \begin{array}{ll} \frac{c}{\sigma} \exp\left(-|z|^{\alpha}\right), & \text{if } y < \mu \\ \frac{c}{\sigma} \exp\left(-|z|^{\beta}\right), & \text{if } y \geq \mu \end{array} \right.

where:

z = \frac{y - \mu}{\sigma},

c = \left[ \Gamma(1 + \beta^{-1}) + \Gamma(1 + \alpha^{-1}) \right]^{-1}.

Value

djsep gives the density , pjsep gives the distribution function, qjsep gives quantiles function, rjsep generates random numbers.

Author(s)

Meischa Zahra Nur Adhelia

References

Rigby, R.A. and Stasinopoulos, M.D. and Heller, G.Z. and De Bastiani, F. (2019) Distributions for Modeling Location, Scale, and Shape: Using GAMLSS in R.CRC Press

Examples

djsep(4, mu=0, sigma=1, alpha=2, beta=2)
pjsep(4, mu=0, sigma=1, alpha=2, beta=2)
qjsep(0.5, mu=0, sigma=1, alpha=2, beta=2)
rjsep(4, mu=0, sigma=1, alpha=2, beta=2)

neodistr documentation built on Aug. 8, 2025, 7:35 p.m.