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new.dist (version 0.1.1)

md: Maxwell Distribution

Description

Density, distribution function, quantile function and random generation for Maxwell distribution with parameter scale.

Usage

dmd(x, theta = 1, log = FALSE)

pmd(q, theta = 1, lower.tail = TRUE, log.p = FALSE)

qmd(p, theta = 1, lower.tail = TRUE)

rmd(n, theta = 1)

Value

dmd gives the density, pmd gives the distribution function, qmd gives the quantile function and rmd generates random deviates.

Arguments

x, q

vector of quantiles.

theta

a scale parameter.

log, log.p

logical; if TRUE, probabilities p are given as log(p).

lower.tail

logical; if TRUE (default), probabilities are \(P\left[ X\leq x\right]\), otherwise, \(P\left[ X>x\right] \).

p

vector of probabilities.

n

number of observations. If length(n) > 1, the length is taken to be the number required.

Details

Maxwell distribution with scale parameter \(\theta\), has density $$f\left( x\right) =\frac{4}{\sqrt{\pi }} \frac{1}{\theta ^{3/2}}x^{2}e^{-x^{2}/\theta },$$ where $$0\leq x<\infty ,~~\theta >0.$$

References

Krishna, H., Vivekanand ve Kumar, K., 2015, Estimation in Maxwell distribution with randomly censored data, Journal of statistical computation and simulation, 85 (17), 3560-3578.

Examples

Run this code
library(new.dist)
dmd(1,theta=2)
pmd(1,theta=2)
qmd(.4,theta=5)
rmd(10,theta=1)

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