Inequalities for characteristic functions of multidimensional distributions

Prakasa Rao, B. L. S. (2008) Inequalities for characteristic functions of multidimensional distributions Journal of Mathematical Analysis and Applications, 343 (1). pp. 22-30. ISSN 0022-247X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00222...

Related URL: http://dx.doi.org/10.1016/j.jmaa.2008.01.032

Abstract

We obtain lower and upper bounds for the absolute values of characteristic functions of multivariate distributions F and also derive a lower bound on the norm of the zeroes of a characteristic function in terms of moments of the norm of the random vector with distribution F. Similar results are obtained for characteristic functions of probability measures on a separable Hilbert space.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Characteristic Function; Multivariate Distribution; Upper Bound; Lower Bound; Probability Measure; Hilbert Space
ID Code:37736
Deposited On:26 Apr 2011 12:47
Last Modified:26 Apr 2011 12:47

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