Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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The exponential generalized log-logistic model: Bagdonavičius-Nikulin test for validation and non-Bayesian estimation methods

  • Ibrahim, Mohamed (Department of Applied, Mathematical and Actuarial Statistics, Damietta University) ;
  • Aidi, Khaoula (Laboratory of Probability and Statistics LaPS, University Badji Mokhtar) ;
  • Alid, Mir Masoom (Department of Mathematical Sciences, Ball State University) ;
  • Yousof, Haitham M. (Department of Statistics, Mathematics and Insurance, Benha University)
  • Received : 2021.02.12
  • Accepted : 2021.04.25
  • Published : 2022.01.31
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Abstract

A modified Bagdonavičius-Nikulin chi-square goodness-of-fit is defined and studied. The lymphoma data is analyzed using the modified goodness-of-fit test statistic. Different non-Bayesian estimation methods under complete samples schemes are considered, discussed and compared such as the maximum likelihood least square estimation method, the Cramer-von Mises estimation method, the weighted least square estimation method, the left tail-Anderson Darling estimation method and the right tail Anderson Darling estimation method. Numerical simulation studies are performed for comparing these estimation methods. The potentiality of the new model is illustrated using three real data sets and compared with many other well-known generalizations.

Keywords

Acknowledgement

The authors gratefully acknowledge the very thoughtful and constructive comments and suggestions of the Editor-in-Chief and the two reviewers which resulted in much improved paper.

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