Survival Analysis, Mortality Rate and Generalized Linear Models (GLM) with Failures (Application Study

Section: Research Paper
Published
May 31, 2026
Pages
141-148

Abstract

The number of failures of the first type is counted for each of a series of n time intervals, whereas the number of failures of the second type is only determined for the entire period. This theoretical framework is offered for the analysis of survival data when two forms of failure occur. First-type failure rates are associated with experimental and explanatory factors, while second-type failure rates are regarded as nuisance characteristics. A Latin square experiment is used to describe two models that are based on a precise and an approximate method. As long as there is a fraction of experimental units until the experiment's conclusion, the approximate model outperforms the exact model. The study presents a theoretical framework for analyzing survival data in which two types of failures occur. The first type's failures are tallied for each of n time intervals, whereas the second type's failures are only counted for the entire period. First-type failure rates are associated with experimental and explanatory factors, while second-type failure rates are regarded as nuisance characteristics.

References

  1. Baban, S. (2015). "Revitalising Agriculture and Water Sectors in the Kurdistan Region, Iraq", Athens: ATINER'S Conference Paper Series, No: GEO2015-1618.
  2. Baker. R. J. and Nelder, J. A. (1978) General Linear Interactive Modelling (GLIM). Release 3. Oxford: Numerical Algorithms Group.
  3. Birch, M. W. (1963) Maximum likelihood in three-way contingency tables. J. R. Statist. Soc. B, 25, 230-233.
  4. Cox, C. (1984) Generalized linear models-the missing link. Appl. Statist., 33, 18-24.
  5. Thompson, R, and Baker, R. J. (1981) Composite link functions in generalized linear models. Appl. Statist., 30, 125-131.
  6. Farhad, Hasan Aziz (2024). Climate and Water Resources of Iraq and Kurdistan Region 2022.University of Slemani.
  7. Frank J. Hall and Mirosliv Rozloznik (2016) G-matrices, J-orthogonal matrices, and their sign patterns Czechoslovak Mathematical Journal, 66 (141) (2016), 653–670.
  8. Giblin, P. (2017). [Review of Latin squares and their applications (2nd edn.), by D. Keedwell & J. Dénes]. The Mathematical Gazette, Vol. 101, No. 552, pp. 571-573. https://www.jstor.org/stable/26538967
  9. Harlıoğlu, M., Omar Mustafa Mustafa, S., and Batool, Z. (2023). The Present Situation of the Fisheries Sector in Iraq: A Critical Review. Çanakkale Onsekiz Mart University Journal of Marine Sciences and Fisheries, 6(1), 70-75. https://doi.org/10.46384/jmsf.1216078
  10. Jiahui Zhang (2018). Maximum Likelihood (ML) Extraction in Exploratory Factor Analysis (EFA) with SPSS. January, 23, 2018/ Applied Statistics Journal.
  11. https://jiahuizzz.wordpress.com/2018/01/23/maximum-likelihood-ml-extraction-in-exploratory-factor-analysis-efa-with-spss/
  12. Jing Ouyang, Kean Ming Tan and Gongjun Xu (2023). High-Dimensional Inference for Generalized Linear Models with Hidden Confounding. Journal of Machine Learning Research. Volume 24, pp. 1-61.
  13. https://www.jmlr.org/papers/volume24/22-0834/22-0834.pdf.
  14. Raju, Arumugam , S.Safrin Preethi and Rajathi .M (2021). Application of latin sequare design in the analysis of the effectiveness of four different traffic violation on road accidents study. Compliance Engineering Volume.12, No. 2, pp.18-27. ISSN NO: 0898-3577
  15. Raza, M.S. and Broom, M. (2016). Survival Analysis Modeling With Hidden Censoring. Journal of Statistical Theory and Practice, Vol. 10, No. 2, pp. 375-388. https://doi.org/10.1080/15598608.2016.1152205
  16. Raza, M. S. and Broom, M(2023). The use of survival analysis modelling with incomplete data with application to breast cancer, Asian Journal of Probability and Statistics, Vol. 25,ISSUE, 3., pp. 45-69.DOI: 10.9734/ajpas/2023/v25i3563 .
  17. Younis S. Abdullah, Shamall M. A. Abdullah, & Ridha H. Hussein. (2020). Biodiversity of Fishes in Sulaimani Province in Kurdistan Region, Iraq. Zanco Journal of Pure and Applied Sciences, 32(1), 39–44.
  18. https://doi.org/10.21271/ZJPAS.32.1.5
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How to Cite

Shalee , M. S. R. . (2026). Survival Analysis, Mortality Rate and Generalized Linear Models (GLM) with Failures (Application Study. IRAQI JOURNAL OF STATISTICAL SCIENCES, 23(1), 141–148. https://doi.org/10.33899/iqjoss.v23i1.62133