Strong law of large numbers for pairwise independent identically distributed random variables

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Date
2024
Authors
Lohvynov, Dmytro
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Abstract
Consider the case of a two-dimensional {𝑋𝑖,𝑗}𝑖,π‘—βˆˆN sequence of pairwise independent and identically distributed random variables and let’s investigate the strong law of large numbers employing multi-indexed sums.
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Keywords
the law of large numbers, two-dimensional sequence, pairwise independent, conference abstracts
Citation
Lohvynov D. O. Strong law of large numbers for pairwise independent identically distributed random variables / D. O. Lohvynov // XII Π’ΡΠ΅ΡƒΠΊΡ€Π°Ρ—Π½ΡΡŒΠΊΠ° Π½Π°ΡƒΠΊΠΎΠ²Π° ΠΊΠΎΠ½Ρ„Π΅Ρ€Π΅Π½Ρ†iя ΠΌΠΎΠ»ΠΎΠ΄ΠΈΡ… ΠΌΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΠΊiΠ², ΠšΠΈΡ—Π², 9-11 травня 2024 Ρ€. : [Π·Π±Ρ–Ρ€Π½ΠΈΠΊ Ρ‚Π΅Π· /ΠΎΡ€Π³ΠΊΠΎΠΌ.: Π“Π»ΠΈΠ±ΠΎΠ²Π΅Ρ†ΡŒ А. М. Ρ‚Π° Ρ–Π½.] ; Нацiональний ΡƒΠ½iвСрситСт ΠšΠΈΡ”Π²ΠΎ-Могилянська Π°ΠΊΠ°Π΄Π΅ΠΌiя" [Ρ‚Π° Ρ–Π½.]. - [ΠšΠΈΡ—Π² : Π±. Π².], 2024. - Π‘. 28.