Tharshan, R. and Wijekoon, P. (2020) A Comparison Study on a New Five-Parameter Generalized Lindley Distribution with Its Sub-Models. Statistics in Transition New Series, 21, 89-117.
https://doi.org/10.21307/stattrans-2020-015

has been cited by the following article:

• TITLE: A Modification of the Quasi Lindley Distribution

  AUTHORS: Ramajeyam Tharshan, Pushpakanthie Wijekoon

  KEYWORDS: Quasi Lindley Distribution, Mixture Distributions, Failure Rates, Tail-Weights, Parameter Estimation

  JOURNAL NAME: Open Journal of Statistics, Vol.11 No.3, June 8, 2021

  ABSTRACT: In this paper, we introduce a modification of the Quasi Lindley distribution which has various advantageous properties for the lifetime data. Several fundamental structural properties of the distribution are explored. Its density function can be left-skewed, symmetrical, and right-skewed shapes with various rages of tail-weights and dispersions. The failure rate function of the new distribution has the flexibility to be increasing, decreasing, constant, and bathtub shapes. A simulation study is done to examine the performance of maximum likelihood and moment estimation methods in its unknown parameter estimations based on the asymptotic theory. The potentiality of the new distribution is illustrated by means of applications to the simulated and three real-world data sets.