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The weak laws of large numbers are particularly clear and applicable in many fields of probability theory and mathematical statistics, and they can be extremely useful and meaningful studies. Probability-valued random variables assumed independence of summands is an extension of classical random sums in which the random number of summands is a partial sum of independent and closely distributed positive integer-valued random variables, assuming independence of summands.

Source link: https://doi.org/10.1007/s41980-021-00632-5

Strong convergence for key aspects of a linear autoregression scheme as applications are established, as well as complete convergence for randomly indexed sequences of WOD random variables are demonstrated.

Source link: https://doi.org/10.1007/s13160-022-00522-1

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