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 limitab
bPeak locationabc
cUpper limitcb

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

Location of the peak 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

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

This property is read-only.

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

Data Types: double

This property is read-only.

Distribution parameter values, specified as a vector.

Data Types: single | double

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

This property is read-only.

Probability distribution name, specified as a character vector.

Data Types: char

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

This property is read-only.

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

Data Types: char

Object Functions

cdfCumulative distribution function
icdfInverse cumulative distribution function
iqrInterquartile range
meanMean of probability distribution
medianMedian of probability distribution
pdfProbability density function
randomRandom numbers
stdStandard deviation of probability distribution
truncateTruncate probability distribution object
varVariance 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

Introduced in R2013a