dpn {PowerNormal} | R Documentation |
The PN distribution
Description
Density, distribution function, quantile function and random generation for the PN distribution with power equal to alpha.
Usage
dpn(x, alpha)
ppn(q, alpha)
qpn(p, alpha)
rpn(n, alpha)
Arguments
x , q |
vector of observations or quantiles. |
p |
vector of probabilities. |
n |
number of observations. |
alpha |
power parameter. |
Details
The alpha parameter must be greater than 0 (alpha > 0)
.
References
Lehmann, EL. (1953). The power of rank tests. The Annals of Mathematical Statistics, 24, 23–43.
Durrans, SR. (1992). Distributions of fractional order statistics in hydrology. Water Resources Research, 28, 1649–1655.
Agamez-Montavo, G. (2017). Modelos de mistura finita usando a classe de distribuicoes alpha potencia. Thesis (Doctoral), University of Sao Paulo.
Examples
# Density
dpn(2,1)
dnorm(2)
# Distribution function
ppn(2,1)
pnorm(2)
# Quantile function
qpn(0.5,1)
qnorm(0.5)
# Random generation
alpha <- 0.5
n <- 10
rpn(n, alpha)
[Package PowerNormal version 1.2.0 Index]