# NormalDistribution

## Description

The normal (or Gaussian) distribution object defines a normal distribution function with the provided mean and standard_deviation parameters. The probability density function (PDF) of the normal distribution is given by the Eq. (1).

(1) where is the mean and is the standard deviation () of the distribution.

This implementation of a normal distribution uses a numerical approximation described in Kennedy and Gentle (1980).

## Example Input Syntax

The following input file defines a normal distribution with a mean of 0 and a standard deviation of 1.

[Distributions]
[./normal_test]
type = NormalDistribution
mean = 0
standard_deviation = 1
[../]
[]

(modules/stochastic_tools/test/tests/distributions/normal.i)

## Input Parameters

• standard_deviationStandard deviation of the distribution

C++ Type:double

Options:

Description:Standard deviation of the distribution

• meanMean (or expectation) of the distribution.

C++ Type:double

Options:

Description:Mean (or expectation) of the distribution.

### Required Parameters

• control_tagsAdds user-defined labels for accessing object parameters via control logic.

C++ Type:std::vector

Options:

Description:Adds user-defined labels for accessing object parameters via control logic.

• enableTrueSet the enabled status of the MooseObject.

Default:True

C++ Type:bool

Options:

Description:Set the enabled status of the MooseObject.