Exponentiated Power Lindley-Logarithmic Distribution and its Applications
Abuh Musa
Department of Statistics, Federal Polytechnic Idah, Kogi State, Nigeria.
Sidney I. Onyeagu
Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria.
Okechukwu J. Obulezi *
Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This article proposes a new distribution call the Exponentiated Power Lindley-Logarithmic Distribution for modeling real life data. The distribution is motivated by the Exponentiated Power Lindley distribution. The quantile function is derived and the Maximum likelihood estimates of the parameters are also derived. The distribution performed better in simulation study than the competing distribution. The distribution can model real life biomedical phenomena and agricultural events.
Keywords: Flexibility, Survival functions, Hazard functions