TITLE:
Properties, Inference and Applications of Inverse Power Two-Parameter Weighted Lindley Distribution
AUTHORS:
M. M. E. Abd El-Monsef, H. S. Al-Kzzaz
KEYWORDS:
Weighted Lindley Distribution, Inverse Power, Reverse Hazard Function, Inverse Moments, Goodness of Fit
JOURNAL NAME:
Open Journal of Statistics,
Vol.10 No.5,
October
30,
2020
ABSTRACT: We proposed “a new extension of three-parametric distribution” called the inverse power
two-parameter weighted Lindley (IPWL) distribution capable of modeling a
upside-down bathtub hazard rate function. This distribution is studied to get
basic structural properties such as reliability measures, moments, inverse
moments and its related measures. Simulation studies are done to present the performance and behavior of
maximum likelihood estimates of the IPWL distribution parameters. Finally, we
perform goodness of fit measures and test statistics using a real data set to
show the performance of the new distribution.