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Inverse Circular–Linear/Linear–Circular Regression

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  • Sungsu Kim
  • Ashis SenGupta

Abstract

We propose two distance-based methods and two likelihood-based methods of inversely regressing a linear predictor on a circular variable, and of inversely regressing a circular predictor on a linear variable. An asymptotic result on least circular distance estimators is provided in the Appendix. We present likelihood-based methods for symmetrical and asymmetrical errors in each situation. The utility of our methodology in each situation is illustrated by applying it to real data sets in engineering and environmental science. We then compare their performances using a cross validation method.

Suggested Citation

  • Sungsu Kim & Ashis SenGupta, 2015. "Inverse Circular–Linear/Linear–Circular Regression," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(22), pages 4772-4782, November.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:22:p:4772-4782
    DOI: 10.1080/03610926.2013.804561
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