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The Odd Weibull Inverse Topp–Leone Distribution with Applications to COVID-19 Data

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  • Ehab M. Almetwally

    (Delta University of Science and Technology)

Abstract

This paper aims at defining an optimal statistical model for the COVID-19 distribution in the United Kingdom, and Canada. A combining the inverted Topp–Leone distribution and the odd Weibull family introduces a new lifetime distribution with a three-parameter to formulate the odd Weibull inverted Topp–Leone (OWITL) distribution. As a simple linear representation, hazard rate function, and moment function, this new distribution has several nice properties. To estimate the unknown parameters of OWITL distribution, maximum likelihood, least-square, weighted least-squares, maximum product spacing, Cramér–von Mises estimators, and Anderson–Darling estimation methods are used. To evaluate the use of estimation techniques, a numerical outcome of the Monte Carlo simulation is obtained.

Suggested Citation

  • Ehab M. Almetwally, 2022. "The Odd Weibull Inverse Topp–Leone Distribution with Applications to COVID-19 Data," Annals of Data Science, Springer, vol. 9(1), pages 121-140, February.
    • Handle: RePEc:spr:aodasc:v:9:y:2022:i:1:d:10.1007_s40745-021-00329-w
    DOI: 10.1007/s40745-021-00329-w
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    References listed on IDEAS

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    1. Amal S. Hassan & Marwa Abd-Allah, 2019. "On the Inverse Power Lomax Distribution," Annals of Data Science, Springer, vol. 6(2), pages 259-278, June.
    2. Ehab Mohamed Almetwally & Hiba Zeyada Muhammed & El-Sayed A. El-Sherpieny, 2020. "Bivariate Weibull Distribution: Properties and Different Methods of Estimation," Annals of Data Science, Springer, vol. 7(1), pages 163-193, March.
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    4. E. M. Almetwally & H. M. Almongy & M. K. Rastogi & M. Ibrahim, 2020. "Maximum Product Spacing Estimation of Weibull Distribution Under Adaptive Type-II Progressive Censoring Schemes," Annals of Data Science, Springer, vol. 7(2), pages 257-279, June.
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    6. R. Alshenawy & Ali Al-Alwan & Ehab M. Almetwally & Ahmed Z. Afify & Hisham M. Almongy, 2020. "Progressive Type-II Censoring Schemes of Extended Odd Weibull Exponential Distribution with Applications in Medicine and Engineering," Mathematics, MDPI, vol. 8(10), pages 1-19, October.
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    Cited by:

    1. Ahmad Abubakar Suleiman & Hanita Daud & Narinderjit Singh Sawaran Singh & Aliyu Ismail Ishaq & Mahmod Othman, 2023. "A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate," Data, MDPI, vol. 8(9), pages 1-24, September.
    2. Salem A. Alyami & Ibrahim Elbatal & Naif Alotaibi & Ehab M. Almetwally & Mohammed Elgarhy, 2022. "Modeling to Factor Productivity of the United Kingdom Food Chain: Using a New Lifetime-Generated Family of Distributions," Sustainability, MDPI, vol. 14(14), pages 1-28, July.

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