<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this research we generalize our result for numbers satisfying the Delannoy triangle. We obtain a central limit theorem and a local limit theorem for weighted numbers of the triangle and establish the rate of convergence to the limiting (normal) distribution.</p>
</abstract>

In this research we generalize our result for numbers satisfying the Delannoy triangle. We obtain a central limit theorem and a local limit theorem for weighted numbers of the triangle and establish the rate of convergence to the limiting (normal) distribution.

Central and local limit theorems for the weighted Delannoy numbers

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Central and local limit theorems for the weighted Delannoy numbers"}

In this research we generalize our result for numbers satisfying the Delannoy triangle. We obtain a central limit theorem and a local limit theorem for...

Central and local limit theorems for the weighted Delannoy numbers

Publié en ligne: 02 juin 2022

Pages: 25 - 44

Reçu: 01 avr. 2021

Accepté: 15 sept. 2021

DOI: https://doi.org/10.2478/auom-2022-0017

Mots clés
Delannoy triangle, central limit theorem, local limit theorem, double generating function, triangular array

© 2022 Igoris Belovas, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Central and local limit theorems for the weighted Delannoy numbers

Publié en ligne: 02 juin 2022

Pages: 25 - 44

Reçu: 01 avr. 2021

Accepté: 15 sept. 2021

DOI: https://doi.org/10.2478/auom-2022-0017

Mots clésDelannoy triangle, central limit theorem, local limit theorem, double generating function, triangular array

© 2022 Igoris Belovas, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Delannoy triangle, central limit theorem, local limit theorem, double generating function, triangular array