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LoguniformDistribution

Loguniform probability distribution object

Description

A LoguniformDistribution object consists of parameters and a model description for a loguniform probability distribution, also referred to as a reciprocal distribution.

The loguniform distribution is a continuous distribution. Its density function is proportional to the reciprocal of the variable value within the support of the distribution (lower and upper limits).

The loguniform distribution uses the following parameters.

ParameterDescriptionSupport
LowerLower parameter0<Lower<Upper
UpperUpper parameterLower<Upper<

Creation

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

Properties

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Distribution Parameters

Lower limit of the support of the loguniform distribution, specified as a scalar value.

Data Types: single | double

Upper limit of the support of the loguniform distribution, specified as a scalar value greater than Lower.

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 of scalar values.

Data Types: single | double

This property is read-only.

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

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 loguniform distribution object using the default parameter values.

pd = makedist('Loguniform')
pd = 
  LoguniformDistribution

  Loguniform distribution
    Lower = 1
    Upper = 4

Create uniform distribution object by specifying parameter values.

pd = makedist('Loguniform','Lower',2,'Upper',6)
pd = 
  LoguniformDistribution

  Loguniform distribution
    Lower = 2
    Upper = 6

Introduced in R2021b