Transmuted exponentiated Chen distribution with application to survival data

Authors

  • Muhammad Shuaib Khan School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia
  • Robert King School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia
  • Irene Lena Hudson School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia

DOI:

https://doi.org/10.21914/anziamj.v57i0.10362

Keywords:

Exponentiated Chen distribution, moments, maximum likelihood estimation.

Abstract

This article considers an extension of the exponentiated Chen distribution based on the quadratic rank transmutation map technique. Some structural properties of the transmuted exponentiated Chen distribution are discussed. The estimation procedure is performed using the method of maximum likelihood. Finally, the flexibility of the new distribution is illustrated using strengths of glass fibres data and nicotine in cigarettes data. References

Author Biographies

Muhammad Shuaib Khan, School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia

Tutor and PhD student in Statistics School of Mathematical and Physical Sciences (Statistics)

Robert King, School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia

Lecturer School of Mathematical and Physical Sciences (Statistics)

Irene Lena Hudson, School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia

Professor School of Mathematical and Physical Sciences (Statistics)

Published

2016-10-11

Issue

Section

Proceedings Engineering Mathematics and Applications Conference