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September 10, 2025FilomatOpen Access

On weak law of large numbers and Lp-convergence for weighted random variables

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The weak law of large numbers applies to sequences of weighted random variables, demonstrating improved convergence properties.
Specific conditions are outlined for establishing Lp-convergence, which enhances the understanding of these sequences.
General normalizing functions facilitate the extension of the weak law to broader classes of random variables.
Martingale differences are included as a specific case, contributing to the framework discussed in the study.

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Implication

This paper establishes the weak law of large numbers and Lp-convergence for weighted random variables, suggesting broader applicability for general random variables.

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日高 et al. (2025) studied this question.

synapsesocial.com/papers/68c1a12754b1d3bfb60dbf8b https://doi.org/10.2298/fil2505747g

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Implication

This paper establishes the weak law of large numbers and Lp-convergence for weighted random variables, suggesting broader applicability for general random variables.

On weak law of large numbers and Lp-convergence for weighted random variables

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Implication

Cite This Study

On weak law of large numbers and Lp-convergence for weighted random variables

Key Points

Discussion

Implication

Cite This Study

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