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.

Parameter	Description	Support
a	Lower limit	$$a\le b$$
b	Peak location	$$a\le b\le c$$
c	Upper limit	$$c\ge b$$

Creation

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

Properties

Distribution Parameters

a — Lower limit

scalar value

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

Data Types: single | double

b — Peak location

scalar value

Location of the peak for the triangular distribution, specified as a scalar value greater than or equal to a.

Data Types: single | double

c — Upper limit

scalar value

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

Data Types: single | double

Distribution Characteristics

IsTruncated — Logical flag for truncated distribution

0 | 1

This property is read-only.

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

NumParameters — Number of parameters

positive integer value

This property is read-only.

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

Data Types: double

ParameterValues — Distribution parameter values

vector of scalar values

This property is read-only.

Distribution parameter values, specified as a vector.

Data Types: single | double

Truncation — Truncation interval

vector of scalar values

This property is read-only.

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

Data Types: single | double

Other Object Properties

DistributionName — Probability distribution name

character vector

This property is read-only.

Probability distribution name, specified as a character vector.

Data Types: char

ParameterDescription — Distribution parameter descriptions

cell array of character vectors

This property is read-only.

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

Data Types: char

ParameterNames — Distribution parameter names

cell array of character vectors

This property is read-only.

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

Create a Triangular Distribution Object Using Default Parameters

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 Using Specified Parameters

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