POWER QUASI LINDLEY DISTRIBUTION: PROPERTIES AND APPLICATION

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SAID HOFAN ALKARNI

Abstract

In this paper, we introduce a new class of distributions called power quasi Lindley (PQL) distribution for modeling non-monotone survival data. This class of distributions includes several distributions such as Lindley, power Lindley, quasi Lindley, gamma, and generalized gamma distributions as special cases. Some statistical properties of the PQL distribution are explicitly derived. These properties include the density and hazard rate functions with their behavior, moments, moment-generating function, skewness, kurtosis measures, and quantile function.  The maximum likelihood estimation of the parameters and their estimated asymptotic distribution and confidence intervals are also derived. Further, the Rényi entropy is derived as a measure of uncertainty in the proposed model. Finally, an application of the model to a real dataset is presented and compared with the fit attained by other well-known existing distributions.

Keywords:
Power quasi Lindley distribution;, Lindley distribution, non-monotone survival data modeling, hazard rate function

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How to Cite
ALKARNI, S. (2015). POWER QUASI LINDLEY DISTRIBUTION: PROPERTIES AND APPLICATION. Asian Journal of Mathematics and Computer Research, 10(2), 179-195. Retrieved from http://ikpress.org/index.php/AJOMCOR/article/view/277
Section
Original Research Article