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The Odd Log-Logistic Log-Normal Distribution with Theory and Applications [PDF]

open access: yesAdvances in Data Science and Adaptive Analysis, 2018
In this paper, a new heavy-tailed distribution is used to model data with a strong right tail, as often occuring in practical situations. The proposed distribution is derived from the log-normal distribution, by using odd log-logistic distribution. Statistical properties of this distribution, including hazard function, moments, quantile function, and ...
Ozel, GAMZE   +3 more
openaire   +5 more sources

The Beta Log-Normal Distribution

Journal of Statistical Computation and Simulation, 2013
For the first time, we introduce the beta log-normal (LN) distribution for which the LN distribution is a special case. Various properties of the new distribution are discussed. Expansions for the cumulative distribution and density functions that do not involve complicated functions are derived.
Gauss Moutinho Cordeiro
exaly   +2 more sources

Hearing Impairment and the Log-Normal Distribution

Applied Statistics, 1996
SUMMARY Data on hearing impairment are studied by using a three-parameter log-normal distribution, all of whose parameters depend on covariates. The fitting algorithm is an extension of generalized linear modelling. Questions for research include the estimation of a base-line distribution of hearing threshold levels for an 'unexposed' population and ...
Bowater, R. J.   +3 more
openaire   +2 more sources

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