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A modified truncated distribution for modeling the heavy tail, engineering and environmental sciences data

Author

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  • Ahtasham Gul
  • Muhammad Mohsin
  • Muhammad Adil
  • Mansoor Ali

Abstract

Truncated models are imperative to efficiently analyze the finite data that we observe in almost all the real life situations. In this paper, a new truncated distribution having four parameters named Weibull-Truncated Exponential Distribution (W-TEXPD) is developed. The proposed model can be used as an alternative to the Exponential, standard Weibull and shifted Gamma-Weibull and three parameter Weibull distributions. The statistical characteristics including cumulative distribution function, hazard function, cumulative hazard function, central moments, skewness, kurtosis, percentile and entropy of the proposed model are derived. The maximum likelihood estimation method is employed to evaluate the unknown parameters of the W-TEXPD. A simulation study is also carried out to assess the performance of the model parameters. The proposed probability distribution is fitted on five data sets from different fields to demonstrate its vast application. A comparison of the proposed model with some extant models is given to justify the performance of the W-TEXPD.

Suggested Citation

  • Ahtasham Gul & Muhammad Mohsin & Muhammad Adil & Mansoor Ali, 2021. "A modified truncated distribution for modeling the heavy tail, engineering and environmental sciences data," PLOS ONE, Public Library of Science, vol. 16(4), pages 1-24, April.
  • Handle: RePEc:plo:pone00:0249001
    DOI: 10.1371/journal.pone.0249001
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    References listed on IDEAS

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    1. Richard L. Smith & J. C. Naylor, 1987. "A Comparison of Maximum Likelihood and Bayesian Estimators for the Three‐Parameter Weibull Distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 36(3), pages 358-369, November.
    2. Zhang, Tieling & Xie, Min, 2011. "On the upper truncated Weibull distribution and its reliability implications," Reliability Engineering and System Safety, Elsevier, vol. 96(1), pages 194-200.
    3. Iwona Markiewicz & Witold G Strupczewski & Ewa Bogdanowicz & Krzysztof Kochanek, 2015. "Generalized Exponential Distribution in Flood Frequency Analysis for Polish Rivers," PLOS ONE, Public Library of Science, vol. 10(12), pages 1-26, December.
    4. Shumaila Ihtisham & Alamgir Khalil & Sadaf Manzoor & Sajjad Ahmad Khan & Amjad Ali, 2019. "Alpha-Power Pareto distribution: Its properties and applications," PLOS ONE, Public Library of Science, vol. 14(6), pages 1-15, June.
    5. Huang, Helai & Song, Bo & Xu, Pengpeng & Zeng, Qiang & Lee, Jaeyoung & Abdel-Aty, Mohamed, 2016. "Macro and micro models for zonal crash prediction with application in hot zones identification," Journal of Transport Geography, Elsevier, vol. 54(C), pages 248-256.
    6. Muhammad Ijaz & Syed Muhammad Asim & Alamgir, 2019. "Lomax exponential distribution with an application to real-life data," PLOS ONE, Public Library of Science, vol. 14(12), pages 1-16, December.
    7. Jiaxi Liu & Zhibo Wu & Jin Wu & Jian Dong & Yao Zhao & Dongxin Wen, 2017. "A Weibull distribution accrual failure detector for cloud computing," PLOS ONE, Public Library of Science, vol. 12(3), pages 1-16, March.
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    2. Saxena, Neha & Sarkar, Mitali & Sarkar, Biswajit, 2024. "Which retail strategy for shelf life products can satisfy consumers under game policy?," Journal of Retailing and Consumer Services, Elsevier, vol. 76(C).

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