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Almost sure convergence of quadratic forms in random variables

Published online by Cambridge University Press:  09 April 2009

V. K. Rohatgi
V. K. Rohatgi
Affiliation:
Bowling Green State UniversityBowling Green, Ohio, U.S.A.
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Let X1, X2, … be a sequence of random variables and let {ajk}, j,k = 1, 2, …, be a matrix of real numbers. Write We establish the following result.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 3 , May 1973 , pp. 257 - 258
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Varberg, D. E., ‘Almost sure convergence of quadratic forms in independent random variables’, Ann. Math. Statist. 39 (1968), 1502–1506.CrossRefGoogle Scholar