Resampling Methods for Survival Parameter Estimation in a Two-Parameter Exponential Model

Authors

  • Ahmed Ibrahim Department of Statistics and Data Analytics, Nasarawa State University, Keffi, Nasarawa State, Nigeria.
  • Monday Osagie Adenomon Department of Statistics and Data Analytics, Nasarawa State University, Keffi, Nasarawa State, Nigeria.
  • Claret Onyinye Ihekaire Nasarawa State University, Keffi
  • Emmanuel Chaku Shammah Department of Statistics and Data Analytics, Nasarawa State University, Keffi, Nasarawa State, Nigeria.

DOI:

https://doi.org/10.33003/fjs-2026-1015-5845

Keywords:

Survival Analysis, Two Parameter Exponential Distribution, Resampling, Bootstrap, Jackknife

Abstract

This study compares Bootstrap, Jackknife Delete-1, Delete-2, Delete-3 and a K-level Delete-r procedure for estimating parameters of a two-parameter exponential survival model. Monte Carlo simulation used , , , and 200 replications per scenario, followed by an NCCTG lung-cancer application. Delete-1 generally produced the smallest bias, variance and MSE, while Bootstrap showed greater variability. The K-level Delete-r method remained competitive and stable. The study provides practical evidence for selecting resampling methods and clarifies the distinction between direct Delete-r and recursive K-repeated jackknifing. Future work should examine censoring, larger sample size and other survival distributions.                                                                                                                                                       

Author Biographies

  • Ahmed Ibrahim, Department of Statistics and Data Analytics, Nasarawa State University, Keffi, Nasarawa State, Nigeria.

    Department of Statistics and Data Analytics

  • Monday Osagie Adenomon, Department of Statistics and Data Analytics, Nasarawa State University, Keffi, Nasarawa State, Nigeria.

    Department of Statistics and Data Analytics.

  • Emmanuel Chaku Shammah, Department of Statistics and Data Analytics, Nasarawa State University, Keffi, Nasarawa State, Nigeria.

    Department of Statistics and Data Analytics.

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The Plots of the Biases, Variances and MSEs Comparison of the Resampling Methods

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Published

03-09-2026

How to Cite

Ibrahim, A., Adenomon, M. O., Ihekaire, C. O., & Shammah, E. C. (2026). Resampling Methods for Survival Parameter Estimation in a Two-Parameter Exponential Model. FUDMA Journal of Sciences, 10(15), 165-175. https://doi.org/10.33003/fjs-2026-1015-5845

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