udnorm | R Documentation |
Create UNU.RAN object for a Normal (Gaussian) distribution with mean
equal to mean
and standard deviation to sd
.
[Distribution] – Normal (Gaussian).
udnorm(mean=0, sd=1, lb=-Inf, ub=Inf)
mean |
mean of distribution. |
sd |
standard deviation. |
lb |
lower bound of (truncated) distribution. |
ub |
upper bound of (truncated) distribution. |
The normal distribution with mean mu and standard deviation sigma has density
f(x) = 1/(sqrt(2 pi) sigma) e^-((x - mu)^2/(2 sigma^2))
where mu is the mean of the distribution and sigma the standard deviation.
The domain of the distribution can be truncated to the
interval (lb
,ub
).
An object of class "unuran.cont"
.
Josef Leydold and Wolfgang H\"ormann unuran@statmath.wu.ac.at.
N.L. Johnson, S. Kotz, and N. Balakrishnan (1994): Continuous Univariate Distributions, Volume 1. 2nd edition, John Wiley & Sons, Inc., New York. Chap. 13, p. 80.
unuran.cont
.
## Create distribution object for standard normal distribution distr <- udnorm() ## Generate generator object; use method PINV (inversion) gen <- pinvd.new(distr) ## Draw a sample of size 100 x <- ur(gen,100) ## Create distribution object for positive normal distribution distr <- udnorm(lb=0, ub=Inf) ## ... and draw a sample gen <- pinvd.new(distr) x <- ur(gen,100)
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