Sine-Ishita Distribution: Properties and Applications to Survival Data

Abstract

This paper presents a novel extension of the Ishita distribution called “sine-Ishita distribution”. The Sine-G family was used to derive the proposed sine-Ishita distribution. The research investigates some properties of the sine-Ishita distribution such as the moments, moments generating function, characteristics function, survival and hazard functions as well as distribution of order statistics. The research also estimates the parameter of the proposed distribution using the method of maximum likelihood. The research illustrated the usefulness of the proposed distribution by applications to four real life datasets and the results show that the proposed distribution fits the data better compared to the other five distributions considered in the study. This performance is an indication that the sine-Ishita distribution can be used for modelling real life event arising from many areas of life.