Document Type
Article
Department
Institute for Educational Development, East Africa
Abstract
The objective of this paper is to identify generalizations of logistic distribution through various methods for constructing the standard logistic distribution. Methods considered are based on transformations, Burr differential equation, mixtures and the difference of two distributed independent Gumbel random variables. For each method, distributions used are generalized. The generalized logistic distributions identified by Johnson [6] of Types I, II, III and IV, have their extended versions obtained. A new generalization namely “extended standard logistic distribution” has been introduced.
Publication (Name of Journal)
Advances and Applications in Mathematical Sciences
Recommended Citation
Omukami, H.,
Weke, P.,
Ottieno, J.
(2021). GENERALIZED LOGISTIC DISTRIBUTIONS BASED ON VARIOUS METHODS FOR CONSTRUCTING THE STANDARD LOGISTIC DISTRIBUTION. Advances and Applications in Mathematical Sciences, 20(10), 2371-2391.
Available at:
https://ecommons.aku.edu/eastafrica_ied/195
Comments
This work was published before the author joined Aga Khan University.