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On the apparent convergence of relative frequency and its implications

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1 Author(s)

An explanation is provided for the prevalence of apparently convergent relative frequencies in random sequences. The explanation is based upon the computational-complexity characterization of a random sequence. Apparent convergence is shown to be attributable to a surprising consequence of the selectivity with which relative frequency arguments are applied; it is a consequence of data handling rather than an underlying law or good fortune. The consequences of this understanding for probability and its applications are indicated.

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Information Theory, IEEE Transactions on  (Volume:16 ,  Issue: 3 )