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A Note on Asymptotic Joint Normality

C. L. Mallows
The Annals of Mathematical Statistics
Vol. 43, No. 2 (Apr., 1972), pp. 508-515
Stable URL: http://www.jstor.org/stable/2239988
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Note on Asymptotic Joint Normality
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Abstract

The concept of asymptotic normality takes on some new aspects when the dimensionality of the vector random variable under consideration is allowed to increase indefinitely. A necessary and sufficient condition for joint asymptotic normality in a new (strong) sense, in the case of independence, is given.

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