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The Log-Logistic Regression Model Under Censoring Scheme

Author

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  • Lucas David Ribeiro-Reis

    (Universidade Federal de Pernambuco)

Abstract

A regression model, based on the well-known log-logistic distribution is proposed. This model is parameterized in terms of the median of the distribution, through a link function. The regression model assumes the censored data structure. The unknown parameters are estimated by maximum likelihood. Monte Carlo simulations with censoring and application to real censored data show the good quality of the proposed regression model.

Suggested Citation

  • Lucas David Ribeiro-Reis, 2023. "The Log-Logistic Regression Model Under Censoring Scheme," Methodology and Computing in Applied Probability, Springer, vol. 25(2), pages 1-12, June.
    • Handle: RePEc:spr:metcap:v:25:y:2023:i:2:d:10.1007_s11009-023-10039-w
    DOI: 10.1007/s11009-023-10039-w
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    References listed on IDEAS

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    1. Gauss M. Cordeiro & Morad Alizadeh & Thiago G. Ramires & Edwin M. M. Ortega, 2017. "The generalized odd half-Cauchy family of distributions: Properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(11), pages 5685-5705, June.
    2. Gauss Cordeiro & Saralees Nadarajah & Edwin Ortega, 2012. "The Kumaraswamy Gumbel distribution," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 21(2), pages 139-168, June.
    3. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    4. Morad Alizadeh & S. M. T. K. MirMostafee & Edwin M. M. Ortega & Thiago G. Ramires & Gauss M. Cordeiro, 2017. "The odd log-logistic logarithmic generated family of distributions with applications in different areas," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-25, December.
    5. Mustafa Ç. Korkmaz & Gauss M. Cordeiro & Haitham M. Yousof & Rodrigo R. Pescim & Ahmed Z. Afify & Saralees Nadarajah, 2019. "The Weibull Marshall–Olkin family: Regression model and application to censored data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(16), pages 4171-4194, August.
    6. Joseph Reath & Jianping Dong & Min Wang, 2018. "Improved parameter estimation of the log-logistic distribution with applications," Computational Statistics, Springer, vol. 33(1), pages 339-356, March.
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