Survival Model Estimator for Type II Censored Data Based on Lognormal Distribution

Authors

  • Eduardus Beo Seso Delvion Universitas Timor
  • Cecilia Novianti Salsinha Universitas Timor
  • Minanur Rohman Ondukuz Mayis University

DOI:

https://doi.org/10.32938/jpm.Vol5.Iss2.5573

Keywords:

survival analysis, Type II cencoring data, maximum likelihood method, Taylor series, lognormal distribution

Abstract

The problems that occur in analyzing survival models based on parametric distributions require parameter values ​​obtained from estimators. This study aims to obtain an estimator model of the lognormal distribution which has parameters and . Therefore, the maximum likelihood method approach is used to obtain the estimators and . However, the problem encountered is that the maximum likelihood model of the lognormal distribution for Type II cencoring data produces quite complex equations, so an approach with a Taylor series is needed only for the first order. The results obtained are estimators  and  which can be applied to Type II cencoring data based on a lognormal distribution.

References

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Hamilton, J. (1994). Time Series Analysis. Princeton University Press.

Kundu, D. (2007). On hybrid censored Weibull distribution. Journal of Statistical Planning and Inference, 137(7). https://doi.org/10.1016/j.jspi.2006.06.043

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Seso Delvion, E. B. (2019). MODEL HAZARD UNTUK LAJU KERUSAKAN PIPA AIR BERDASARKAN DATA TERSENSOR TIPE II YANG BERDISTRIBUSI LOGNORMAL. RANGE: Jurnal Pendidikan Matematika, 1(1). https://doi.org/10.32938/jpm.v1i1.195

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Published

2024-01-30

Issue

Vol. 5 No. 2 (2024): Range Januari 2024

Section

Articles

License

RANGE: Jurnal Pendidikan Matematika