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.
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