Marshall-Olkin Log-Logistic Extended Weibull Distribution : Theory, Properties and Applications.

Autor: Lepetu, Lornah, Oluyede, Broderick O., Makubate, Boikanyo, Foya, Susan, Mdlongwa, Precious
Předmět:
Zdroj: Journal of Data Science; Oct2017, Vol. 15 Issue 4, p691-721, 31p
Abstrakt: Marshall and Olkin (1997) introduced a general method for obtain- ing more exible distributions by adding a new parameter to an existing one, called the Marshall-Olkin family of distributions. We introduce a new class of distributions called the Marshall - Olkin Log-Logistic Ex- tended Weibull (MOLLEW) family of distributions. Its mathematical and statistical properties including the quantile function hazard rate functions, moments, conditional moments, moment generating function are presented. Mean deviations, Lorenz and Bonferroni curves, Réenyi entropy and the distribution of the order statistics are given. The Max- imum likelihood estimation technique is used to estimate the model parameters and a special distribution called the Marshall-Olkin Log Logistic Weibull (MOLLW) distribution is studied, and its mathemat- ical and statistical properties explored. Applications and usefulness of the proposed distribution is illustrated by real datasets. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index