Log-logistic Distribution - Related Distributions

Related Distributions

  • If then
  • (Dagum distribution)
  • (Singh-Maddala distribution)
  • Beta prime distribution
  • If X has a log-logistic distribution with scale parameter and shape parameter then Y = log(X) has a logistic distribution with location parameter and scale parameter .
  • As the shape parameter of the log-logistic distribution increases, its shape increasingly resembles that of a (very narrow) logistic distribution. Informally, as →∞,
LL(\alpha, \beta) \to L(\alpha,\alpha/\beta).
  • The log-logistic distribution with shape parameter and scale parameter is the same as the generalized Pareto distribution with location parameter, shape parameter and scale parameter
  • The addition of another parameter (a shift parameter) formally results in a shifted log-logistic distribution, but this is usually considered in a different parameterization so that the distribution can be bounded above or bounded below.

Read more about this topic:  Log-logistic Distribution

Famous quotes containing the word related:

    “Becoming responsible adults is no longer a matter of whether children hang up their pajamas or put dirty towels in the hamper, but whether they care about themselves and others—and whether they see everyday chores as related to how we treat this planet.”
    —Eda Le Shan (20th century)