Abstract
This paper summarizes a talk given by the author at the Indian Academy of Sciences, Bengaluru on December 12, 2019. It outlines the multiplicity of situations where measurements on directions in two, three, or more dimensions are observed, and form the basis for answering various scientific questions. After briefly outlining the novelty in dealing with such data and the need for an entirely different set of analytical tools, one of the basic questions that arises before any further inference viz. testing isotropy of circular data, is addressed. The author was initiated into this topic of directional statistics by Professor C R Rao during the 1960s and is pertinent to this occasion celebrating him.
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References
Batschelet E. Circular Statistics in Biology (1981) (London: Academic Press)
Fuller M, Laj C and Herrero-Bervera E, The reversal of earth’s magnetic field, Amer. Sci. 84 (1996) 552–561
Hrushesky W J M, Circdian Cancer Therapy (1994) (CRC Press, Cambridge)
Jammalamadaka S Rao and SenGupta A, Topics in Circular Statistics (2001) (World Scientific Press, Singapore)
Jammalamadaka S Rao, An R-package called CircStats for doing much of this type of statistical analysis and inference, that was developed at UCSB, is freely available online (http://jammalam.faculty.pstat.ucsb.edu/html/books/circstat.htm) (2001)
Mardia K V and Jupp P E, Directional Statistics (2000) (John Wiley, New York)
Sengupta S and Rao J S, Statistical analysis of cross-bedding azimuths from the Kamthi formation around Bheemaram, Pranhita: Godavari valley, Sankhya B 28 (1966) 165–174
Acknowledgements
The author like to thank Professors Partha Majumdar and B L S Prakasa Rao for the invitation to give this talk and to present the material in the form of this short article.
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This article is part of the “Special Issue in Honour of Professor C R Rao on His Birth Centenary”
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Jammalamadaka, S.R. A matter of direction. Proc Math Sci 130, 44 (2020). https://doi.org/10.1007/s12044-020-00583-7
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DOI: https://doi.org/10.1007/s12044-020-00583-7