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.

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Published

2017-12-27

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Articles