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Some Results on the Concept of {π‘Žπ‘š,𝑛,𝑖,𝑗 } – Stochastic Domination for Double Arrays of Random Variables

Year: 2025
Type: article
Abstract: In this paper, we prove some results on the concept of {π‘Žπ‘š,𝑛,𝑖,𝑗}- stochastic domination for double arrays of random variables, where {π‘˜π‘š, π‘š β‰₯ 1} and {𝑙𝑛, 𝑛 β‰₯ 1 } are two sequences of positive integers and {π‘Žπ‘š,𝑛,𝑖,𝑗; 1 ≀ 𝑖 ≀ π‘˜π‘š, 1 ≀ 𝑗 ≀ 𝑙𝑛, π‘š, 𝑛 β‰₯ 1} is sequences of positive constants satisfying sup π‘šβ‰₯1,𝑛β‰₯1 βˆ‘ βˆ‘ π‘Žπ‘š,𝑛,𝑖,𝑗 = 𝐢0, 𝐢0 ∈ (0, ∞). 𝑙𝑛 𝑗=1 π‘˜π‘š 𝑖=1 The main results establish double sum versions of Theorem 2.1 and Theorem 2.6 of ThΓ nh (2023). Keywords: Stochastic domination; double array; slowly varying function; CesΓ ro stochastic domination
Language: English
Open Access status: diamond
OpenAlex ID: W4408769090
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Cites: 8
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Related to: 10