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The odd Chen generator of distributions: properties and estimation methods with applications in medicine and engineering

Authors:

MS Eliwa ,

College of Science, Majmaah University, Majmaah 11952, Saudi Arabia., EG
About MS
Department of Mathematics
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M El-Morshedy,

Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia., EG
About M
Department of Mathematics
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AZ Afify

Benha University, Benha, Egypt., EG
About AZ
Department of Statistics, Mathematics and Insurance
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Abstract

This paper introduces a new univariate flexible generator of distributions called the odd Chen-G family. Some of its statistical properties were derived. Two special models of the proposed generator were provided. The model parameters were estimated using six estimation methods, namely, maximum likelihood estimators, least squares estimators, weighted least squares estimators, maximum product of spacings estimators, Cramer-von Mises estimators and percentile-based estimators. Further, simulations were performed to compare their performances for both small and large samples. Finally, three real datasets were used to illustrate the flexibility of the special models of the proposed family.

How to Cite: Eliwa, M., El-Morshedy, M. and Afify, A., 2020. The odd Chen generator of distributions: properties and estimation methods with applications in medicine and engineering. Journal of the National Science Foundation of Sri Lanka, 48(2), pp.113–130. DOI: http://doi.org/10.4038/jnsfsr.v48i2.8790
Published on 13 Oct 2020.
Peer Reviewed

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