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Different estimation methods of the modified Kies Topp-Leone model with applications and quantile regression

Author

Listed:
  • Safar M Alghamdi
  • Olayan Albalawi
  • Sanaa Mohammed Almarzouki
  • Vasili B V Nagarjuna
  • Suleman Nasiru
  • Mohammed Elgarhy

Abstract

This paper introduces the modified Kies Topp-Leone (MKTL) distribution for modeling data on the (0, 1) or [0, 1] interval. The shapes of the density and hazard rate functions manifest desirable shapes, making the MKTL distribution suitable for modeling data with different characteristics at the unit interval. Twelve different estimation methods are utilized to estimate the distribution parameters, and Monte Carlo simulation experiments are executed to assess the performance of the methods. The simulation results suggest that the maximum likelihood method is the superior method. The usefulness of the new distribution is illustrated by utilizing three data sets, and its performance is juxtaposed with that of other competing models. The findings affirm the superiority of the MKTL distribution over the other candidate models. Applying the developed quantile regression model using the new distribution disclosed that it offers a competitive fit over other existing regression models.

Suggested Citation

  • Safar M Alghamdi & Olayan Albalawi & Sanaa Mohammed Almarzouki & Vasili B V Nagarjuna & Suleman Nasiru & Mohammed Elgarhy, 2024. "Different estimation methods of the modified Kies Topp-Leone model with applications and quantile regression," PLOS ONE, Public Library of Science, vol. 19(9), pages 1-47, September.
    • Handle: RePEc:plo:pone00:0307391
    DOI: 10.1371/journal.pone.0307391
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    References listed on IDEAS

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    1. Mukhtar M. Salah & M. El-Morshedy & M. S. Eliwa & Haitham M. Yousof, 2020. "Expanded Fréchet Model: Mathematical Properties, Copula, Different Estimation Methods, Applications and Validation Testing," Mathematics, MDPI, vol. 8(11), pages 1-29, November.
    2. Abdulhakim A. Al-Babtain & Mohammed K. Shakhatreh & Mazen Nassar & Ahmed Z. Afify, 2020. "A New Modified Kies Family: Properties, Estimation Under Complete and Type-II Censored Samples, and Engineering Applications," Mathematics, MDPI, vol. 8(8), pages 1-24, August.
    3. Ramadan A. ZeinEldin & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy, 2019. "Different Estimation Methods for Type I Half-Logistic Topp–Leone Distribution," Mathematics, MDPI, vol. 7(10), pages 1-23, October.
    4. Mustapha Muhammad & Lixia Liu & Badamasi Abba & Isyaku Muhammad & Mouna Bouchane & Hexin Zhang & Sani Musa, 2023. "A New Extension of the Topp–Leone-Family of Models with Applications to Real Data," Annals of Data Science, Springer, vol. 10(1), pages 225-250, February.
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