dRayleigh: The Reyleigh distribution

In JieHu18039/StatComp: Final report for 'Statistical Computing'

Description

Density, distribution function, quantile function and random generation for the Reyleigh distribution.

Usage

dRayleigh(x,sigma)
pRayleigh(q,sigma,lower.tail=TRUE)
qRayleigh(p,sigma,lower.tail=TRUE)
rRayleigh(n,sigma)

Arguments

x, q	vector of quantiles.
sigma	the scale parameter of Reyleigh distribution.
p	vector of probabilities.
n	the number of samples.
lower.tail	logical; if TRUE (default), probabilities are P[X<=x], otherwise, P[X > x].

Value

dt gives the density, pt gives the distribution function, qt gives the quantile function, and rt generates random deviates.

Examples

## Not run: 
n<-10000
y<-rRayleigh(n,sigma=2)
hist(y,breaks=seq(0,ceiling(max(y)),0.1),freq = FALSE,
main = "Histogram of Reyleigh",xlab = " ")
x<-seq(0,8.5,0.05)
lines(x,dRayleigh(x,sigma=2),col="red")
qRayleigh(0.05,sigma=2)
pRayleigh(0.6405828,sigma = 2)

## End(Not run)

JieHu18039/StatComp documentation built on May 18, 2019, 12:25 p.m.