Central and Local Limit Theorems for Numbers of the Tribonacci Triangle

Igoris Belovas
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Igoris Belovas: Institute of Data Science and Digital Technologies, Vilnius University, LT-04812 Vilnius, Lithuania

Mathematics, 2021, vol. 9, issue 8, 1-11

Abstract: In this research, we continue studying limit theorems for combinatorial numbers satisfying a class of triangular arrays. Using the general results of Hwang and Bender, we obtain a constructive proof of the central limit theorem, specifying the rate of convergence to the limiting (normal) distribution, as well as a new proof of the local limit theorem for the numbers of the tribonacci triangle.

Keywords: tribonacci matrix; triangular array; limit theorems; rate of convergence; generating functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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