Geodesic
Central limit theorem for weakly dependent random variables with values in $D\left[0,1\right]$
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 281-291

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The main goal of this article is to prove the central limit theorem for sequences of random variables with values in the space $D\left [0,1\right]$. We assume that the sequence satisfies the mixing conditions. In the paper the central limit theorems for sequences with strong mixing and $\rho_{m}$-mixing are proved.
Keywords: central limit theorem, mixing sequence, $D\left[0,1\right]$ space. 
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     author = {Olimjon Sh. Sharipov and Anvar F. Norjigitov},
     title = {Central limit theorem for weakly dependent random variables with values in $D\left[0,1\right]$},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a2/}
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Olimjon Sh. Sharipov; Anvar F. Norjigitov. Central limit theorem for weakly dependent random variables with values in $D\left[0,1\right]$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 281-291. http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a2/