Question

what is log-logistic distribution write in details and write it's assumptions and properties

Answer 1

answer:

log-logistic distribution :

• The log-strategic appropriation is the likelihood conveyance of an irregular variable whose logarithm has a calculated dispersion.
• It is comparative fit as a fiddle to the log-ordinary dispersion yet has heavier tails.
• Not at all like the log-ordinary, its aggregate circulation capacity can be written in shut structure.

it's assumptions:

• There are a few diverse parameterizations of the circulation being used.
• The one appeared here gives sensibly interpretable parameters and a straightforward structure for the combined conveyance function.
• The parameter { alpha >0}\alpha >0 is a scale parameter and is additionally the middle of the appropriation.
• The parameter {beta >0}\beta >0 is a shape parameter.
• The dissemination is unimodal when {beta >1}\beta>1 and its scattering diminishes as {beta }\beta increments.

properties:

we have the two properties they are .,

1.Moments

2. Quantiles