|
Abstract
|
We introduce and study a new distribution called the odd loglogistic modified Weibull (OLLMW) distribution. Various of its structural properties are obtained in terms of Meijer’s G-function, such as the
moments, generating function, conditional moments, mean deviations,
order statistics and maximum likelihood estimators. The distribution
exhibits a wide range of shapes varying skewness and takes all possible
forms of hazard rate function. We fit the OLLMW and some competitive
models to two data sets and prove empirically that the new model has
a superior performance among the compared distributions as evidenced
by some goodness-of-fit statistics
|