Loglogistic probability distribution object
A LoglogisticDistribution
object consists of parameters, a
model description, and sample data for a loglogistic probability
distribution.
The loglogistic distribution is closely related to the logistic distribution. If x is distributed loglogistically with parameters μ and σ, then log(x) is distributed logistically with mean and standard deviation. This distribution is often used in survival analysis to model events that experience an initial rate increase, followed by a rate decrease.
The loglogistic distribution uses the following parameters.
Parameter | Description | Support |
---|---|---|
mu | Mean of logarithmic values | |
sigma | Scale parameter of logarithmic values |
There are several ways to create a LoglogisticDistribution
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.
cdf | Cumulative distribution function |
icdf | Inverse cumulative distribution function |
iqr | Interquartile range |
mean | Mean of probability distribution |
median | Median of probability distribution |
negloglik | Negative loglikelihood of probability distribution |
paramci | Confidence intervals for probability distribution parameters |
pdf | Probability density function |
proflik | Profile likelihood function for probability distribution |
random | Random numbers |
std | Standard deviation of probability distribution |
truncate | Truncate probability distribution object |
var | Variance of probability distribution |