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Maximum likelihood estimation in Dagum distribution with censored samples

Author

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  • Filippo Domma
  • Sabrina Giordano
  • Mariangela Zenga

Abstract

In this work, we show that the Dagum distribution [3] may be a competitive model for describing data which include censored observations in lifetime and reliability problems. Maximum likelihood estimates of the three parameters of the Dagum distribution are determined from samples with type I right and type II doubly censored data. We perform an empirical analysis using published censored data sets: in certain cases, the Dagum distribution fits the data better than other parametric distributions that are more commonly used in survival and reliability analysis. Graphical comparisons confirm that the Dagum model behaves better than a number of competitive distributions in describing the empirical hazard rate of the analyzed data. A probability plot to provide graphical check of the appropriateness of the Dagum model for right censored data is constructed, and the details are given in the appendix. Finally, a simulation study that shows the good performance of the maximum likelihood estimators of the Dagum shape parameters for finite type II doubly censored samples is carried out.

Suggested Citation

  • Filippo Domma & Sabrina Giordano & Mariangela Zenga, 2011. "Maximum likelihood estimation in Dagum distribution with censored samples," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(12), pages 2971-2985, March.
    • Handle: RePEc:taf:japsta:v:38:y:2011:i:12:p:2971-2985
    DOI: 10.1080/02664763.2011.578613
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    Citations

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    Cited by:

    1. Aliyu Ismail Ishaq & Alfred Adewole Abiodun, 2020. "The Maxwell–Weibull Distribution in Modeling Lifetime Datasets," Annals of Data Science, Springer, vol. 7(4), pages 639-662, December.
    2. Nanami Taketomi & Kazuki Yamamoto & Christophe Chesneau & Takeshi Emura, 2022. "Parametric Distributions for Survival and Reliability Analyses, a Review and Historical Sketch," Mathematics, MDPI, vol. 10(20), pages 1-23, October.
    3. Alina Jȩdrzejczak & Dorota Pekasiewicz & Wojciech Zieliński, 2023. "The shortest confidence interval for the ratio of quantiles of the Dagum distribution," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 21(2), pages 499-509, June.
    4. Faris M Alwan & Adam Baharum & Geehan S Hassan, 2013. "Reliability Measurement for Mixed Mode Failures of 33/11 Kilovolt Electric Power Distribution Stations," PLOS ONE, Public Library of Science, vol. 8(8), pages 1-8, August.
    5. Faustino Prieto & Jos'e Mar'ia Sarabia & Enrique Calder'in-Ojeda, 2020. "The risk of death in newborn businesses during the first years in market," Papers 2011.11776, arXiv.org.
    6. Filippo Domma & Sabrina Giordano, 2013. "A copula-based approach to account for dependence in stress-strength models," Statistical Papers, Springer, vol. 54(3), pages 807-826, August.
    7. Refah Alotaibi & Hoda Rezk & Sanku Dey & Hassan Okasha, 2021. "Bayesian estimation for Dagum distribution based on progressive type I interval censoring," PLOS ONE, Public Library of Science, vol. 16(6), pages 1-17, June.

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