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A generalized weak law of large numbers for noncommuting random variables

A generalized weak law of large numbers for noncommuting random variables

Let X 1 , X 2 , . . .be a sequence of independent (possibly noncommuting) random variables, with distributions ν i .A sufficient condition for the sequenceto converge in distribution to the Dirac measure at zero, for some choice of the constants M n , and some β > …