On parameter estimation of a replicated linear functional relationship model for circular variables

Authors

  • Nurkhairany Amyra Mokhtar Faculty of Defence Sciences and Technology, National Defence University of Malaysia, Kem Sungai Besi, 57000 Kuala Lumpur, Malaysia.
  • Yong Zulina Zubairi Centre for Foundation Studies in Science, University of Malaya, Malaysia.
  • Abdul Ghapor Hussin Faculty of Defence Sciences and Technology, National Defence University of Malaysia, Malaysia.
  • Rossita Mohamad Yunus Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Malaysia

DOI:

https://doi.org/10.11113/matematika.v33.n2.1010

Abstract

Replicated linear functional relationship model is often used to describe relationships between two circular variables where both variables have error terms and replicate observations are available. We derive the estimate of the rotation parameter of the model using the maximum likelihood method. The performance of the proposed method is studied through simulation, and it is found that the biasness of the estimates is small, thus implying the suitability of the method. Practical application of the method is illustrated by using a real data set.

Downloads

Published

27-12-2017

How to Cite

Mokhtar, N. A., Zubairi, Y. Z., Hussin, A. G., & Yunus, R. M. (2017). On parameter estimation of a replicated linear functional relationship model for circular variables. MATEMATIKA, 33(2), 159–163. https://doi.org/10.11113/matematika.v33.n2.1010

Issue

Volume 33 (December 2017)

Section

Articles

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.