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Random Variable - Springer Nature

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Last Updated: 12 August 2022

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On the Weak Laws of Large Numbers for Compound Random Sums of Independent Random Variables with Convergence Rates

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


Complete moment convergence for randomly weighted sums of arrays of rowwise $$m_n$$ m n -extended negatively dependent random variables and its applications

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

* Please keep in mind that all text is summarized by machine, we do not bear any responsibility, and you should always check original source before taking any actions

* Please keep in mind that all text is summarized by machine, we do not bear any responsibility, and you should always check original source before taking any actions