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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
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/2239988
Page Count: 8
You can always find the topics here!Topics: Mathematical sequences, Topological theorems, Dimensionality, Sufficient conditions, Statistics, Mathematical problems, Approximation, Distribution functions, Covariance
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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.
The Annals of Mathematical Statistics © 1972 Institute of Mathematical Statistics