Previous Page Next Page Contents

stats::normal -- the normal (Gaussian) distribution

Introduction

stats::normal(x, m, v) computes the value

1/sqrt(2*PI*v) * int(exp(-(t-m)^2/2/v), t=-infinity..x)

of the normal distribution with mean m and variance v at the point x.

Call(s)

stats::normal(x <, m> <, v>)

Parameters

x - an arithmetical expression.
m - the mean of the distribution: an arithmetical expression.
v - the variance of the distribution: an arithmetical expression.

Returns

an arithmetical expression.

Side Effects

The function is sensitive to the environment variable DIGITS, when the argument x is a floating point number.

Related Functions

stats::ChiSquare, stats::Tdist

Details

Example 1

We compute the normal distribution with mean m=0 and variance v=1 at the point x = 3.4:

>> stats::normal(3.4)
   
                               0.9996630707
      

Example 2

We compute the normal distribution with symbolic arguments:

>> stats::normal(x, m, v)
   
                                 /  1/2         \
                                 | 2    (x - m) |
                             erfc| ------------ |
                                 |       1/2    |
                                 \    2 v       /
                         1 - --------------------
                                      2
      

Changes




Do you have questions or comments?


Copyright © SciFace Software GmbH & Co. KG 2000