# 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".

##### concept

• absolutely continuous distribution
• Gaussian distribution
• Normal distribution
• S4 distribtution class
• location scale family

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 2.0.6, License: LGPL-3

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