A note on the existence of the multivariate gamma distribution
arXiv:1606.04747. Cornell University. 2016
Erscheinungsjahr: 2016
Publikationstyp: Diverses
Sprache: Englisch
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Inhaltszusammenfassung
The p - variate gamma distribution in the sense of Krishnamoorthy and Parthasarathy exists for all positive integer degrees of freedom and at least for all real values p p 2, 2. For special structures of the “associated“ covariance matrix it also exists for all positive . In this paper a relation between central and non-central multivariate gamma distributions is shown, which implies the existence of the p - variate gamma distribution at least for all non-integer ...The p - variate gamma distribution in the sense of Krishnamoorthy and Parthasarathy exists for all positive integer degrees of freedom and at least for all real values p p 2, 2. For special structures of the “associated“ covariance matrix it also exists for all positive . In this paper a relation between central and non-central multivariate gamma distributions is shown, which implies the existence of the p - variate gamma distribution at least for all non-integer greater than the integer part of ( 1) / 2 p without any additional assumptions for the associated covariance matrix. » weiterlesen» einklappen
Klassifikation
DDC Sachgruppe:
Mathematik