A New Extension of Power Quasi Lindley Distribution with Properties and Applications of the Life Time data
Rashid Ganaie , V. Rajagopalan
Abstract
This manuscript approaches with the new model of power quasi
Lindley distribution by using the version of length biased technique
known as length biased power quasi Lindley distribution. We have
investigated and executed its various mathematical and statistical
properties such as reliability measures, order statistics, likelihood
ratio test, entropies, income distribution curves and harmonic mean. We
have also obtained and discussed its parameter estimation by using the
method of maximum likelihood estimator and also executed its Fisher’s
information matrix. Finally, the application of newly introduced model
is demonstrated by applying the two real data sets using the new
distribution, which shows that the length biased power quasi Lindley
distribution fits quite satisfactory in analyzing real life time data
sets.
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