|
Abstract
|
This paper investigates general mathematical properties of a new generator of continuous distributions with two
extra parameter called the Ristic-Balakrishnan odd log-logistic family of distributions. We present some special models and
investigate the asymptotes. The new density function can be expressed as a linear combination of exponentiated densities
based on the same baseline distribution. Explicit expressions for the ordinary and incomplete moments, generating functions
and order statistics, which hold for any baseline model, are determined. Further, we discuss the estimation of the model
parameters by maximum likelihood and present a simulation study based on maximum likelihood estimation. A regression
model based on proposed model was introduced. Finally, three applications to real data were provided to illustrate the
potentiality of the family of distributions
|