Central and Local Limit Theorems for Numbers of the Tribonacci Triangle
Keyword(s):
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.
1989 ◽
Vol 28
(3)
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pp. 229-238
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1989 ◽
pp. 309-327
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Keyword(s):
1983 ◽
pp. 561-575
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1983 ◽
Vol 27
(3)
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pp. 607-609
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1991 ◽
Vol 36
(2)
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pp. 297-313
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1992 ◽
Vol 36
(4)
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pp. 783-792
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2000 ◽
Vol 20
(5)
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pp. 1335-1353
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