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Volume 9
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10.3390/math9080880
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Article

Central and Local Limit Theorems for Numbers of the Tribonacci Triangle

by
Igoris Belovas
Institute of Data Science and Digital Technologies, Vilnius University, LT-04812 Vilnius, Lithuania
Mathematics 2021, 9(8), 880; https://doi.org/10.3390/math9080880
Submission received: 17 March 2021 / Revised: 10 April 2021 / Accepted: 14 April 2021 / Published: 16 April 2021
Versions Notes

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 tribonacci matrix; triangular array; limit theorems; rate of convergence; generating functions

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MDPI and ACS Style

Belovas, I. Central and Local Limit Theorems for Numbers of the Tribonacci Triangle. Mathematics 2021, 9, 880. https://doi.org/10.3390/math9080880

AMA Style

Belovas I. Central and Local Limit Theorems for Numbers of the Tribonacci Triangle. Mathematics. 2021; 9(8):880. https://doi.org/10.3390/math9080880

Chicago/Turabian Style

Belovas, Igoris. 2021. "Central and Local Limit Theorems for Numbers of the Tribonacci Triangle" Mathematics 9, no. 8: 880. https://doi.org/10.3390/math9080880

APA Style

Belovas, I. (2021). Central and Local Limit Theorems for Numbers of the Tribonacci Triangle. Mathematics, 9(8), 880. https://doi.org/10.3390/math9080880

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