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Properties, Inference and Applications of Inverse Power Two-Parameter Weighted Lindley Distribution
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
- 1 Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
- 2 Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
Open Journal of Statistics·Volume 10 (2020)·Pages 889–904·Published 26 October 2020·DOI10.4236/ojs.2020.105052
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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.
KeywordsWeighted Lindley DistributionInverse PowerReverse Hazard FunctionInverse MomentsGoodness of Fit
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