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The Marshall–Olkin Inverted Nadarajah–Haghighi Distribution: Estimation and Applications

Author

Listed:
  • Gulnaz Raffiq

    (University of Punjab)

  • Iram Sajjad Dar

    (University of Punjab)

  • Muhammad Ahsan Ul Haq

    (University of Punjab
    Quality Enhancement Cell (QEC), National College of Arts)

  • Eduardo Ramos

    (University of São Paulo)

Abstract

We introduced and studied a new three-parameter lifetime distribution based on Marshall–Olkin and inverted Nadarajah–Haghighi distribution. In comparison with some existing lifetime models, the new distribution has very flexible shapes for hazard rate as well as for the probability density function. The related mathematical functions of the new distribution are presented. The maximum likelihood method is considered to obtain the parameter estimates of the MOINH distribution. A simulation study is presented to assess the behavior of the proposed estimator. The potentiality of the distribution is illustrated by fitting two real data sets.

Suggested Citation

  • Gulnaz Raffiq & Iram Sajjad Dar & Muhammad Ahsan Ul Haq & Eduardo Ramos, 2022. "The Marshall–Olkin Inverted Nadarajah–Haghighi Distribution: Estimation and Applications," Annals of Data Science, Springer, vol. 9(6), pages 1323-1338, December.
    • Handle: RePEc:spr:aodasc:v:9:y:2022:i:6:d:10.1007_s40745-020-00297-7
    DOI: 10.1007/s40745-020-00297-7
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    References listed on IDEAS

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    1. Ahmed Z. Afify & Gauss M. Cordeiro & Edwin M. M. Ortega & Haitham M. Yousof & Nadeem Shafique Butt, 2018. "The four-parameter Burr XII distribution: Properties, regression model, and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(11), pages 2605-2624, June.
    2. Muhammad Ahsan Ul Haq & G. G. Hamedani & M. Elgarhy & Pedro Luiz Ramos, 2020. "Marshall-Olkin Power Lomax Distribution: Properties and Estimation Based on Complete and Censored Samples," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 9(1), pages 1-48, January.
    3. Fausto Balderas & Eduardo Fernandez & Claudia Gomez-Santillan & Nelson Rangel-Valdez & Laura Cruz, 2019. "An Interval-Based Approach for Evolutionary Multi-Objective Optimization of Project Portfolios," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1317-1358, July.
    4. Arslan Nasir & Haitham M. Yousof & Farrukh Jamal & Mustafa Ç. Korkmaz, 2018. "The Exponentiated Burr XII Power Series Distribution: Properties and Applications," Stats, MDPI, vol. 2(1), pages 1-17, December.
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