# TriangularDistribution

Triangular probability distribution object

## Description

A TriangularDistribution object consists of parameters and a model description for a triangular probability distribution.

The triangular distribution is frequently used in simulations when limited sample data is available. The lower and upper limits represent the smallest and largest values, and the location of the peak represents an estimate of the mode.

The triangular distribution uses the following parameters.

ParameterDescriptionSupport
ALower limit$A\le B$
BPeak location$A\le B\le C$
CUpper limit$C\ge B$

## Creation

Create a TriangularDistribution probability distribution with specified parameter values object using makedist.

## Properties

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### Distribution Parameters

Lower limit for the triangular distribution, specified as a scalar value.

Data Types: single | double

Peak location for the triangular distribution, specified as a scalar value greater than or equal to A.

Data Types: single | double

Upper limit for the triangular distribution, specified as a scalar value greater than or equal to B.

Data Types: single | double

### Distribution Characteristics

Logical flag for truncated distribution, specified as a logical value. If IsTruncated equals 0, the distribution is not truncated. If IsTruncated equals 1, the distribution is truncated.

Data Types: logical

Number of parameters for the probability distribution, specified as a positive integer value.

Data Types: double

Distribution parameter values, specified as a vector of scalar values.

Data Types: single | double

Truncation interval for the probability distribution, specified as a vector of scalar values containing the lower and upper truncation boundaries.

Data Types: single | double

### Other Object Properties

Probability distribution name, specified as a character vector.

Data Types: char

Distribution parameter descriptions, specified as a cell array of character vectors. Each cell contains a short description of one distribution parameter.

Data Types: char

Distribution parameter names, specified as a cell array of character vectors.

Data Types: char

## Object Functions

 cdf Cumulative distribution function icdf Inverse cumulative distribution function iqr Interquartile range mean Mean of probability distribution median Median of probability distribution pdf Probability density function random Random numbers std Standard deviation of probability distribution truncate Truncate probability distribution object var Variance of probability distribution

## Examples

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Create a triangular distribution object using the default parameter values.

pd = makedist('Triangular')
pd =
TriangularDistribution

A = 0, B = 0.5, C = 1

Create a triangular distribution object by specifying parameter values.

pd = makedist('Triangular','A',-2,'B',1,'C',5)
pd =
TriangularDistribution

A = -2, B = 1, C = 5

Compute the mean of the distribution.

m = mean(pd)
m = 1.3333