| Norm-class {distr} | R Documentation |
The normal distribution 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.
C.f. rnorm
Objects can be created by calls of the form Norm(mean, sd).
This object is a normal distribution.
img:"Reals": The domain of this distribution has got dimension 1
and the name "Real Space". param:"UniNormParameter": the parameter of this distribution (mean and sd),
declared at its instantiation r:"function": generates random numbers (calls function rnorm)d:"function": density function (calls function dnorm)p:"function": cumulative function (calls function pnorm)q:"function": inverse of the cumulative function (calls function qnorm)
Class "AbscontDistribution", directly.
Class "UnivariateDistribution", by class "AbscontDistribution".
Class "Distribution", by class "AbscontDistribution".
signature(e1 = "numeric", e2 = "Norm"): multiplication of this normal distribution by an object of
class `numeric'signature(e1 = "numeric", e2 = "Norm"): addition of this normal distribution to an object of class
`numeric'signature(e1 = "numeric", e2 = "Norm"): subtraction of this normal distribution from an object of
class `numeric'signature(e1 = "Norm", e2 = "numeric"): multiplication of this normal distribution by an object of
class `numeric'signature(e1 = "Norm", e2 = "numeric"): addition of this normal distribution to an object of class
`numeric'signature(e1 = "Norm", e2 = "numeric"): subtraction of an object of class `numeric' from this normal
distribution signature(e1 = "Norm", e2 = "numeric"): division of this normal distribution by an object of class
`numeric'signature(e1 = "Norm", e2 = "Norm")signature(e1 = "Norm", e2 = "Norm"):
For the normal distribution the exact convolution formulas are implemented thereby improving the general numerical
approximation.signature(.Object = "Norm"): initialize method signature(object = "Norm"): returns the slot mean of the parameter of the distribution signature(object = "Norm"): modifies the slot mean of the parameter of the distribution signature(object = "Norm"): returns the slot sd of the parameter of the distribution signature(object = "Norm"): modifies the slot sd of the parameter of the distribution
Thomas Stabla Thomas.Stabla@uni-bayreuth.de,
Florian Camphausen Florian.Camphausen@uni-bayreuth.de,
Peter Ruckdeschel Peter.Ruckdeschel@uni-bayreuth.de,
Matthias Kohl Matthias.Kohl@stamats.de
UniNormParameter-class
AbscontDistribution-class
Reals-class
rnorm
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)).