Norm-class

0th

Percentile

Class "Norm"

The normal distribution has density $$f(x) = \frac{1}{\sqrt{2\pi}\sigma} e^{-(x-\mu)^2/2\sigma^2}$$ where $\mu$ is the mean of the distribution and $\sigma$ the standard deviation. C.f. rnorm

Keywords
distribution
Objects from the Class

Objects can be created by calls of the form Norm(mean, sd). This object is a normal distribution.

Extends

Class "AbscontDistribution", directly. Class "UnivariateDistribution", by class "AbscontDistribution". Class "Distribution", by class "AbscontDistribution".

See Also

UniNormParameter-class AbscontDistribution-class Reals-class rnorm

Aliases
  • Norm-class
  • Norm
  • initialize,Norm-method
Examples
N=Norm(mean=1,sd=1) # N is a normal distribution with mean=1 and sd=1.
r(N)(1) # one random number generated from this distribution, e.g. 2.257783
d(N)(1) # Density of this distribution is  0.3989423 for x=1.
p(N)(1) # Probability that x<1 is 0.5.
q(N)(.1) # Probability that x<-0.2815516 is 0.1.
mean(N) # mean of this distribution is 1.
sd(N)=2 # sd of this distribution is now 2.
M=Norm() # M is a normal distribution with mean=0 and sd=1.
O=M+N # O is a normal distribution with mean=1 (=1+0) and sd=sqrt(5) (=sqrt(2^2+1^2)).
Documentation reproduced from package distr, version 1.8, License: GPL (version 2 or later)

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