A New Estimator of a Circular Median

References

• Hodges , J. L. , Lehmann , E. L. ( 1967 ). On medians and quasi medians . Journal of the American Statistical Association 62 : 926 – 931 .
   Web of Science ®Google Scholar
• Jammalamadaka , S. R. , SenGupta , A. ( 2001 ). Topics in Circular Statistics . River Edge , New Jersey : World Scientific .
   Google Scholar
• Jammalamadaka , S. R. , Kozubowski , T. J. ( 2004a ). New families of wrapped distribution for modeling skew circular data . Communications Statistics—Theory and Methods 33 : 2059 – 2074 .
   Web of Science ®Google Scholar
• Jammalamadaka , S. R. , Kozubowski , T. J. ( 2004b ). A new family of circular models: The wrapped Laplace distributions . Advances and Applications in Statistics 3 : 77 – 103 .
   Google Scholar
• Ko , D. , Guttorp , P. ( 1988 ). Robustness of estimators for directional data . Annals of Statistics 7 : 609 – 618 .
   Web of Science ®Google Scholar
• Liu , R. , Singh , K. ( 1992 ). Ordering directional data: concepts of data depth on circles and spheres . Annals of Statistics 20 : 1468 – 1484 .
   Web of Science ®Google Scholar
• Lenth , R. V. ( 1981 ). Robust measures of location for directional data . Technometrics 23 : 77 – 81 .
   Web of Science ®Google Scholar
• Mardia , K. V. ( 1972 ). Statistics of Directional Data . London : Academic Press .
   Google Scholar
• Mardia , K. V. , Jupp , P. E. ( 2000 ). Directional Statistics . Chichester : Wiley .
   Google Scholar
• Otieno , B. S. ( 2002 ). An Alternative Estimate of Preferred Direction for Circular Data, PhD. thesis, Department of Statistics, Virginia Polytechnic Institute and State University, Blackburg, Virginia .
   Google Scholar
• Otieno , B. S. , Anderson-Cook , C. M. ( 2003 ). A more efficient way of obtaining a unique median estimate for circular data . Journal of Modern Applied Statistical Methods 2 : 168 – 176 .
   Google Scholar
• Purkayastha , S. ( 1991 ). A rotationally symmetric directional distribution: Obtained through maximum likelihood characterization . Sankhya A 53 : 70 – 83 .
   Google Scholar
• Purkayastha , S. ( 1995 ). An almost sure representation of sample circular median . Journal of Statistical Planning and Inference 46 : 77 – 91 .
   Web of Science ®Google Scholar
• Ratanaruamkarn , S. ( 2006 ). New Estimators of Circular Median . Ph.D. thesis, Department of Statistics , Western Michigan University , Kalamazoo , Michigan .
   Google Scholar
• Wehrly , T. , Shine , E. P. ( 1981 ). Influence curves for directional data . Biometrika 68 : 334 – 335 .
   Web of Science ®Google Scholar