### LOCAL LIMIT THEOREM FOR TRIANGULAR ARRAY OF RANDOM VARIABLES

**IGOR A. KORCHINSKY AND ALEXEY M. KULIK**

*Theory of Stochastic Processes*

*Vol. 13 (29), no. 3, 2007, pp. 48–54*

For a triangular array of random variables $\{X_{k,n},k=1,\ldots, c_n; n\in \mathbb{N}\}$ such that for every $n$,the variables $X_{1,n},\ldots,X_{c_n,n}$ are independent and identically distributed, the local limit theorem for the variables $S_n=X_{1,n}+\cdots+X_{c_n,n}$ is established.

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