A multivariate measure of dispersion and its limiting distribution
Total Variance (TV) and Generalized Variance (GV) are commonly used as a measure multivariate dispersion. However, these two statistics has some drawbacks. This paper proposes a new measure of multivariate dispersion, named Vectorial Variance (VV) an inner product for set of operators defined on a...
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| Format: | Article |
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Universiti Kebangsaan Malaysia
2005
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| Online Access: | http://journalarticle.ukm.my/3915/ http://journalarticle.ukm.my/3915/ |
| Summary: | Total Variance (TV) and Generalized Variance (GV) are commonly used as a measure multivariate dispersion. However, these two statistics has some drawbacks. This paper proposes a new measure of multivariate dispersion, named Vectorial Variance (VV) an inner product for set of operators defined on a Hilbert-Smith space. Since, the exact sampling distribution of VV is difficult to find, therefore the asymptotic sampling distribution is obtained. |
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