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    Mardia, K. V. 2014. Wiley StatsRef: Statistics Reference Online.
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    Mardia, K. V. 2010. Encyclopedia of Statistical Sciences.
    Mardia, K. V. 2006. Encyclopedia of Statistical Sciences.
    Mardia, K. V. Walder, A. N. Berry, E. Sharples, D. Millner, P. A. and Dickson, R. A. 1999. Assessing spinal shape. Journal of Applied Statistics, Vol. 26, Issue. 6, p. 735.
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Size-and-shape distributions for paired landmark data

  • K. V. Mardia (a1) and A. N. Walder (a1)
Abstract

In this paper we study the distribution associated with paired size-and-shape for two sets of correlated points having an underlying Gaussian distribution in the plane. This extends work previously done just for paired shape. Special cases are studied, and various properties described. In addition we give further results for the paired shape density.

Copyright
COPYRIGHT: © Applied Probability Trust 1994 
Corresponding author
* Postal address: Department of Statistics, University of Leeds, Leeds LS2 9JT, UK.
References
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Dryden, I. L. and Mardia, K. V. (1991) General shape distributions in a plane. Adv. Appl. Prob. 23, 259–76.
Dryden, I. L. and Mardia, K. V. (1992) Size and shape analysis for landmark data. Biometrika 79, 57–68.
Goodall, C. R. and Mardia, K. V. (1992) The noncentral Bartlett decomposition and shape densities. J. Multivariate Anal. 40, 94–108.
Jupp, P. and Mardia, K. V. (1980) A general correlation coefficient for directional data and related regression problems. Biometrika 67, 163–173.
Kendall, D. G. (1984) Shape manifolds, procrustean metrics and complex projective spaces. Bull. Lond. Math. Soc. 16, 81–121.
Kendall, D. G. (1986) Discussion of paper by F. L. Bookstein. Statist. Science 1, 222–6.
Kent, J. T. (1994) The complex Bingham distribution and shape analysis. J. R. Statist. Soc. B 56, 285–300.
Mardia, K. V. (1975a) Statistics of directional data (with discussion). J. R. Statist. Soc. B 37, 349–393.
Mardia, K. V. (1975b) Characterizations of directional distributions. Statistical Distributions for Scientific Work, ed. Patil, G. P., Kotz, S., and Ord, J. K., Vol. 3, D. Reidel, Boston.
Mardia, K. V. and Dryden, I. L. (1989) Shape distributions for landmark data. Adv. Appl. Prob. 21, 742–55.
Mardia, K. V. and Walder, A. N. (1994) Shape analysis of paired landmark data. Biometrika 81, 185–196.
Rainville, E. D. (1960) Special Functions. Macmillan, New York.
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Advances in Applied Probability
  • ISSN: 0001-8678
  • EISSN: 1475-6064
  • URL: /core/journals/advances-in-applied-probability
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