A note on Gaussian distributions in ℝn

dc.contributor.author	Manjunath, B. G.
dc.contributor.author	Parthasarathy, K. R.
dc.date.accessioned	2022-03-27T04:08:27Z
dc.date.available	2022-03-27T04:08:27Z
dc.date.issued	2012-01-01
dc.description.abstract	Given any finite set F of (n - 1)-dimensional subspaces of Rn we give examples of nonGaussian probability measures in R{double-struck}n whose marginal distribution in each subspace from F is Gaussian. However, if F is an infinite family of such (n - 1)- dimensional subspaces then such a nonGaussian probability measure in R{double-struck}n does not exist. ©Indian Academy of Sciences.
dc.identifier.citation	Proceedings of the Indian Academy of Sciences: Mathematical Sciences. v.122(4)
dc.identifier.issn	02534142
dc.identifier.uri	10.1007/s12044-012-0099-y
dc.identifier.uri	http://link.springer.com/10.1007/s12044-012-0099-y
dc.identifier.uri	https://dspace.uohyd.ac.in/handle/1/6455
dc.subject	Characteristic function
dc.subject	Gaussian distribution
dc.subject	Hermite polynomial
dc.subject	Homogeneous polynomial
dc.subject	Linear functionals
dc.subject	Nonunimodality
dc.title	A note on Gaussian distributions in ℝn
dc.type	Journal. Article
dspace.entity.type

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