<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

Published Online: Jun 02, 2022

Page range: 25 - 44

Received: Apr 01, 2021

Accepted: Sep 15, 2021

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

Keywords
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

Published Online: Jun 02, 2022

Page range: 25 - 44

Received: Apr 01, 2021

Accepted: Sep 15, 2021

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

KeywordsDelannoy 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.

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