Abstract
The Lindley distribution and its numerous generalizations are widely used in statistical and engineering practice. Recently, a power transformation of Lindley distribution, called the power Lindley distribution, has been introduced by M. E. Ghitany et al.who initiated the investigation of its properties and possible applications. In this article, new results on the power Lindley distribution are presented. The focus of this work is on the moment-(in)determinacy of the distribution for various values of the parameters. Afterwards, certain applications are provided to describe data sets of software metrics.
Highlights
New families of probability distributions are being proposed by a large number of authors with the aim to provide appropriate tools to study the tendencies in the behavior of data sets emerging in financial mathematics, medical research, computer science, engineering, and other disciplines
This paper aims to pursue the study of the power Lindley distribution initiated in Ghitany et al (2013)
This work is a continuation of the study on power Lindley distribution, initiated in Ghitany et al (2013)
Summary
New families of probability distributions are being proposed by a large number of authors with the aim to provide appropriate tools to study the tendencies in the behavior of data sets emerging in financial mathematics, medical research, computer science, engineering, and other disciplines. For example, Ghitany et al (2013), Koutras et al (2014). It continues to draw attention within mathematics and its applications, giving rise to new extensions and modifications. For example, Arslan et al (2017), Bakouch et al (2012), Ghitany et al (2008), and references therein. The Lindley distribution with parameter β > 0 is defined by the probability density function (PDF) of the form:
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