Advertisement

Resonance

, Volume 4, Issue 6, pp 20–26 | Cite as

Mahalanobis distance

  • G. J. McLachlan
General Article

Keywords

Mahalanobis Distance Multivariate Normal Distribution Sample Covariance Matrix Hellinger Distance Statistical Pattern Recognition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Suggested Reading

  1. [1]
    S Das Gupta, The evolution of the D2-statistic of Mahalanobis,Sankhya, A55, 442–459, 1993.Google Scholar
  2. [2]
    S Das Gupta, Mahalanobis distance, In P Armiage and T Colton (Eds),Encyclopedia of Biostatistics, Wiley, New York, 2369–2372, 1998.Google Scholar
  3. [3]
    J K Ghosh and P P Majumdar, Mahalanobis, Prasanta Chandra, In P Armitage and T Colton(Eds),Encyclopedia of Biostatistics, Wiley, New York, 2372–2375, 1998.Google Scholar
  4. [4]
    P C Mahalanobis, On tests and measures of group divergence,Journal of the Asiatic Society of Bengal, 26, 541–588, 1930.Google Scholar
  5. [5]
    G J McLachlan,Discriminant Analysis and Statistical Pattern Recognition, New York, Wiley, 1992.Google Scholar
  6. [6]
    C R Rao,Linear Statistical Inference and its Applications, Second Edition, Wiley, New York, 1973a.Google Scholar
  7. [7]
    C R Rao, Prasanta Chandra Mahalanobis, 1893–1972,Biographical Memoirs of Fellows of the Royal Society, 19, 455–492, 1973b.CrossRefGoogle Scholar

Further suggested reading

  1. [1]
    P C Mahalanobis, A statistical study of the Chinese head,Man in India, 8, 107–122, 1928.Google Scholar
  2. [2]
    P C Mahalanobis, On the generalised distance in statistics,Proceedings of the National Institute of Sciences of India, 2, 49–55, 1936.Google Scholar
  3. [3]
    P C Mahalanobis, Normalisation of statistical variates and the use of rectangular coordinates in the theory of sampling distributions,Sankhya, 3, 35–40, 1937.Google Scholar
  4. [4]
    P C Mahalanobis, D N Majumdar and C R Rao, Anthropometric survey of the United Provinces, 1941: A statistical study,Sankhya, 9, 89–324, 1949.Google Scholar

Copyright information

© Indian Academy of Sciences 1999

Authors and Affiliations

  • G. J. McLachlan
    • 1
  1. 1.Department ot MathematicsThe University of QueenslandBrisbaneAustralia

Personalised recommendations