LogisticDistribution. Logistic probability distribution object. Description. A LogisticDistribution object consists of parameters, a model description, and sample data for a logistic probability distribution. The logistic distribution is used for growth models and in logistic regression. It has longer tails and a higher kurtosis than the normal distribution. The logistic distribution uses the following parameters. There are several ways to create a LogisticDistribution probability distribution object. Create a distribution with specified parameter values using makedist . Fit a distribution to data using fitdist . Interactively fit a distribution to data using the Distribution Fitter app. Properties. Distribution Parameters. mu — Mean scalar value. Mean of the logistic distribution, specified as a scalar value. Data Types: single | double. sigma — Scale parameter nonnegative scalar value. Scale parameter of the logistic distribution, specified as a nonnegative scalar value. 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. ParameterCovariance — Covariance matrix of the parameter estimates matrix of scalar values. This property is read-only. Covariance matrix of the parameter estimates, specified as a p -by- p matrix, where p is the number of parameters in the distribution. The ( i , j ) element is the covariance between the estimates of the i th parameter and the j th parameter. The ( i , i ) element is the estimated variance of the i th parameter. If parameter i is fixed rather than estimated by fitting the distribution to data, then the ( i , i ) elements of the covariance matrix are 0. Data Types: double. ParameterIsFixed — Logical flag for fixed parameters array of logical values. This property is read-only. Logical flag for fixed parameters, specified as an array of logical values. If 0 , the corresponding parameter in the ParameterNames array is not fixed. If 1 , the corresponding parameter in the ParameterNames array is fixed. Data Types: logical. 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. InputData — Data used for distribution fitting structure. This property is read-only. Data used for distribution fitting, specified as a structure containing the following: data : Data vector used for distribution fitting. cens : Censoring vector, or empty if none. freq : Frequency vector, or empty if none. Data Types: struct. 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.
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