On the Uncertainty Relation for Positive Definite Probability Densities

References

• Andrews , D. F. and Mallows , C. L. 1974 . Scale mixtures of normal distributions . J. Roy. Statist. Soc. B , 36 : 99 – 102 .
   Google Scholar
• Dreier , I. 1996 . On the uncertainty principle for positive definite densities . Zeitschr. für Analysis und ihre Anwendungen , 15 : 1015 – 1023 .
   Google Scholar
• Gneiting , T. 1997 . Symmetric Positive Definite Functions With Applications in Spatial Statistics , Bayreuth, , Germany : Universität Bayreuth . Ph.D. Thesis
   Google Scholar
• Lewis , T. 1976 . “ Probability functions which are proportional to characteristic functions and the infinite divisibility of the von Mises distribution ” . In Perspectives in Probability and Statistics , Edited by: Gani , J. 19 – 28 . London : Academic Press .
   Google Scholar
• Rossberg , H.-J. 1990 . Positive definite probability densities . Theory of Probability and Its Applications , 35 : 169 – 174 .
   Web of Science ®Google Scholar
• Rossberg , H.-J. 1991 . Characterization of the standard normal probability density within the class of self-adjoint (self-reciprocal) densities . Statistics , 22 : 651 – 654 . 26, 387.
   Google Scholar
• Rossberg , H.-J. 1995 . Positive definite probability densities and probability distributions . J. Mathem. Sciences , 76 : 2181 – 2197 .
   Google Scholar