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Vietnam Journal of Mathematics 35:1(2007) 21-32

On a Probability Metric Based on Trotter Operator 

Tran Loc Hung

Abstract.  The main purpose of this paper is to present a probability metric based on well-known Trotter's operator. Some estimations related to the rates of convergence via Trotter metric are established.

2000 Mathematics Subject Classification: 60G50, 60E10.

Keywords: Probability metric, Trotter operator, rates of convergence, weak law of large numbers, quicksort algorithm.

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Published by Springer since January 2013