Abstract
Both types of normalizations, scalar and operator, may be employed for studying limit theorems for sums of independent random vectors. The limit theorems with scalar normalizations have been much investigated and form the basis of classical probability theory. At the same time, it has not been until recently when studying operator normalizations (especially in the framework of almost sure convergence) began, though these normalizations are more adequate for reflecting the asymptotic behaviour of sums of independent random vectors.
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© 1997 Springer Science+Business Media Dordrecht
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Buldygin, V., Solntsev, S. (1997). Operator-normed sums of independent random vectors. In: Asymptotic Behaviour of Linearly Transformed Sums of Random Variables. Mathematics and Its Applications, vol 416. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5568-7_4
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DOI: https://doi.org/10.1007/978-94-011-5568-7_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6346-3
Online ISBN: 978-94-011-5568-7
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