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

Mahalanobis distance

  • G. J. McLachlan
General Article


Mahalanobis Distance Multivariate Normal Distribution Sample Covariance Matrix Hellinger Distance Statistical Pattern Recognition 
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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
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    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

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