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A New Extension of the Lomax Distribution with Properties and Applications to Failure Times Data
Author(s):
1. Mohamed Aboraya: Department of Applied Statistics and Insurance, Damietta University, Egypt.
Abstract:
In this paper, we develop a new lifetime model and study some of its properties. The major justification for the practicality of theis model is based on the wider use of the Lomax model. We are also motivated to introduce the novel model since its density exhibits various important shapes such as the unimodal, right skewed and left skewed. The new model can be represented as a mixture of the exponentiated Lomax distribution. It can also be considered as a suitable model for fitting the symmetric, left skewed, right skewed and unimodal data. The maximum likelihood estimation method is used to estimate the model parameters. We show empirically the importance and flexibility of the novel model in modeling two types of aircraft windshield lifetime data sets. The proposed lifetime model is better fit than gamma Lomax, beta Lomax, exponentiated Lomax and Lomax models so the exponentiated Lomax, model is a good alternative to these models in modeling aircraft windshield data.
Page(s): 461-479
DOI: DOI not available
Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 15, Issue: 2, Year: 2019
Keywords:
Moments , Quantile function , Simulation , Maximum Likelihood Estimation , Order statistics , Generating Function , Lomax model
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