Asymptotic stability of the maximum of normal stochastic processes

Matsak, I.

doi:10.1090/S0094-9000-09-00784-4

Asymptotic stability of the maximum of normal stochastic processes

Author: I. K. Matsak
Translated by: S. Kvasko
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 79 (2008).
Journal: Theor. Probability and Math. Statist. 79 (2009), 101-106
MSC (2000): Primary 60B12
DOI: https://doi.org/10.1090/S0094-9000-09-00784-4
Published electronically: December 30, 2009
MathSciNet review: 2494539
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Abstract | References | Similar Articles | Additional Information

Abstract: Under quite general conditions, we prove that the maximum of a sequence of normal stochastic processes in the space $C_{[0,1]}$ is asymptotically stable almost surely.

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