THE FOURTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES (CMES-2019), ANTALYA, 20-22 APRIL 2019, Antalya, Türkiye, 20 - 22 Nisan 2019, ss.251
In this study, Alpha Power Inverted Kumaraswamy (APIK) distribution is defined by
using alpha power transformation (APT) method introduced by Mahdavi and Kundu (2017);
see AL-Fattah et al. (2017) for further information about the Inverted Kumaraswamy
distribution. APT method has been used by many authors to obtain a new distribution; see for
example Nassar et al. (2017), Unal et al. (2018), Ramadan and Magday A. (2018). Some
statistical properties of the APIK distribution are derived. Maximum likelihood estimators of
the unknown parameters of the APIK distribution are obtained. At the end of the study, a real
data set is modeled by using the APIK distribution and its modeling performance is also
compared to some well-known distributions.