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The Exponentiated Half-Logistic Family of Distributions: Properties and Applications

Author

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  • Gauss M. Cordeiro
  • Morad Alizadeh
  • Edwin M. M. Ortega

Abstract

We study some mathematical properties of a new generator of continuous distributions with two extra parameters called the exponentiated half-logistic family. We present some special models. We investigate the shapes of the density and hazard rate function. We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Bonferroni and Lorenz curves, Shannon and Rényi entropies, and order statistics, which hold for any baseline model. We introduce two bivariate extensions of this family. We discuss the estimation of the model parameters by maximum likelihood and demonstrate the potentiality of the new family by means of two real data sets.

Suggested Citation

  • Gauss M. Cordeiro & Morad Alizadeh & Edwin M. M. Ortega, 2014. "The Exponentiated Half-Logistic Family of Distributions: Properties and Applications," Journal of Probability and Statistics, Hindawi, vol. 2014, pages 1-21, March.
    • Handle: RePEc:hin:jnljps:864396
    DOI: 10.1155/2014/864396
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    Cited by:

    1. Boikanyo Makubate & Fastel Chipepa & Broderick Oluyede & Peter O. Peter, 2021. "The Marshall-Olkin Half Logistic-G Family of Distributions With Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(2), pages 120-120, March.
    2. Ahmad Abubakar Suleiman & Hanita Daud & Narinderjit Singh Sawaran Singh & Mahmod Othman & Aliyu Ismail Ishaq & Rajalingam Sokkalingam, 2023. "A Novel Odd Beta Prime-Logistic Distribution: Desirable Mathematical Properties and Applications to Engineering and Environmental Data," Sustainability, MDPI, vol. 15(13), pages 1-25, June.
    3. Gayan Warahena-Liyanage & Broderick Oluyede & Thatayaone Moakofi & Whatmore Sengweni, 2023. "The New Exponentiated Half Logistic-Harris-G Family of Distributions with Actuarial Measures and Applications," Stats, MDPI, vol. 6(3), pages 1-29, July.
    4. Abdulhakim A. Al-Babtain & Ibrahim Elbatal & Christophe Chesneau & Farrukh Jamal, 2020. "Box-Cox Gamma-G Family of Distributions: Theory and Applications," Mathematics, MDPI, vol. 8(10), pages 1-24, October.
    5. Ammara Tanveer & Muhammad Azam & Muhammad Aslam & Muhammad Shujaat Navaz, 2020. "Attribute np control charts using resampling systems for monitoring non-conforming items under exponentiated half-logistic distribution," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(2), pages 115-143.

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