المستخلص: |
We introduce the Kumaraswamy alpha power-G (KuAP-G) family which extends the alpha power transform class (Mahdavi and Kundu, 2015) and some other families. We consider the Weibull as baseline for the KuAP family and generate Kumaraswamy alpha power Weibull distribution which has symmetrical, right-skewed, left-skewed and reversed-J shaped densities, and decreasing, increasing, bathtub, upside-down bathtub, J shaped and reversed-J shaped hazard rates. The importance of the new distribution comes from its ability to model monotone and non-monotone failure rate functions, which are quite common in reliability studies. We derive some basic properties of the new. The maximum likelihood estimation method is used to evaluate the parameters and the observed information matrix is determined. We illustrate the performance of the proposed family of distributions by means of two real data sets.
|