Estimation of similarity measure for multivariate normal distributions

Mihoko Minami, Kunio Shimizu

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


Measures of niche overlap are used to assess the similarity or dissimilarity of two populations. Matusita's measure is one of commonly used niche overlap measures. We consider the problem of estimating Matusita's measure when samples are from multivariate normal distributions with unknown mean vectors and covariance matrices. Asymptotic variances and biases of Matusita's measure estimates are derived and bias reduction methods are proposed. Simulation results are shown to illustrate characteristics of the estimates and bias reduction methods.

Original languageEnglish
Pages (from-to)229-248
Number of pages20
JournalEnvironmental and Ecological Statistics
Issue number3
Publication statusPublished - 1999
Externally publishedYes


  • Bias reduction
  • Delta method
  • Matusita's measure
  • Niche overlap

ASJC Scopus subject areas

  • Statistics and Probability
  • Environmental Science(all)
  • Statistics, Probability and Uncertainty


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