JOURNAL ARTICLE

Estimation Methods for the New Weibull-Pareto Distribution: Simulation and Application

Ehab M. AlmetwallyHisham M. Almongy

Year: 2021 Journal:   Journal of Data Science Vol: 17 (3)Pages: 613-632   Publisher: People's University of China

Abstract

In this paper, we introduce the alternative methods to estimation for the new weibull-pareto distribution parameters. We discussed of point estimation and interval estimation for parameters of the new weibull-pareto distribution. We have also discussed the method of Maximum Likelihood estimation, the method of Least Squares estimation, the method of Weighted Least Squares estimation and the method of Maximum Product Spacing estimation. In addition, we discussed the raw moment of random variable X and the reliability functions (survival and hazard functions). Further, we compared between the results of the methods that have been discussed using Monte Carlo Simulation method and application study.

Keywords:
Weibull distribution Pareto distribution Monte Carlo method Point estimation Mathematics Statistics Moment (physics) Pareto principle Estimation Interval estimation Method of moments (probability theory) Lomax distribution Computer science Mathematical optimization Confidence interval Engineering

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21
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3.92
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26
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0.94
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Citation History

Topics

Statistical Distribution Estimation and Applications
Physical Sciences →  Mathematics →  Statistics and Probability
Probabilistic and Robust Engineering Design
Social Sciences →  Decision Sciences →  Statistics, Probability and Uncertainty
Advanced Statistical Process Monitoring
Social Sciences →  Decision Sciences →  Statistics, Probability and Uncertainty
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