Standardized moments of bivariate chi-square distribution

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Abstract

Some centered moments of the bivariate chi-square distribution are derived by the use of raw product moments. Standardized moments up to the third order are calculated for the distribution. In case the components of bivariate chi-square distribution are uncorrelated, the moments, as expected, are in agreement with the resulting situation of independence. The results are also in agreement with the case when the degrees of freedom converges to infinity.

Original languageEnglish
Pages (from-to)387-395
Number of pages9
JournalJournal of Applied Statistical Science
Volume16
Issue number4
StatePublished - 2009

Keywords

  • Bivariate distribution
  • Kurtosis
  • Mahalanobis distance
  • Product moments
  • Standardized moments

ASJC Scopus subject areas

  • Statistics and Probability

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