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    Springer
    Annals of operations research 30 (1991), S. 187-198 
    ISSN: 1572-9338
    Keywords: Probability theory ; normalized convergence ; stochastic optimization ; statistical approach ; rate of convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract A new concept of (normalized) convergence of random variables is introduced. This convergence is preserved under Lipschitz transformations, follows from convergence in mean and itself implies convergence in probability. If a sequence of random variables satisfies a limit theorem then it is a normalized convergent sequence. The introduced concept is applied to the convergence rate study of a statistical approach in stochastic optimization.
    Type of Medium: Electronic Resource
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