Central and Local Limit Theorems for Numbers of the Tribonacci Triangle
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) distributio...
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Format: | Article |
Language: | English |
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MDPI AG
2021-04-01
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Series: | Mathematics |
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Online Access: | https://www.mdpi.com/2227-7390/9/8/880 |
Summary: | 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. |
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ISSN: | 2227-7390 |