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Convergence theorems form the backbone of probability theory and statistical inference, ensuring that sequences of random variables behave in a predictable manner as their index grows. These ...
Magda Peligrad, The Convergence of Moments in the Central Limit Theorem for ρ-Mixing Sequences of Random Variables, Proceedings of the American Mathematical Society, Vol. 101, No. 1 (Sep., 1987), pp.
In this study, we establish the Marcinkiewicz–Zygmund strong law of large numbers for randomly weighted sums of negatively orthant dependent random variables. The law of the single law of logarithm ...
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