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 parameter$0<\text{Lower}<\text{Upper}$
UpperUpper parameter$\text{Lower}<\text{Upper}<\infty$

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

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 of probability distribution 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 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

Version History

Introduced in R2021b