| Title |
Central and local limit theorems for numbers of the tribonacci triangle / |
| Authors |
Belovas, Igoris |
| DOI |
10.3390/math9080880 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI AG. 2021, vol. 9, no. 8, art. no. 880, p. [1-11].. ISSN 2227-7390. eISSN 2227-7390 |
| Keywords [eng] |
tribonacci matrix ; triangular array ; limit theorems ; rate of convergence ; generating functions |
| Abstract [eng] |
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. |
| Published |
Basel : MDPI AG |
| Type |
Journal article |
| Language |
English |
| Publication date |
2021 |
| CC license |
|
