December 2022 Probability solutions of the Sincov’s functional equation on the set of nonnegative integers
Nikolai Kolev, Sabrina Mulinacci
Author Affiliations +
Braz. J. Probab. Stat. 36(4): 685-691 (December 2022). DOI: 10.1214/22-BJPS548

Abstract

In this note, we establish when the bivariate discrete Schur-constant models possess the Sibuya-type aging property. It happens that the corresponding class is large, solving the counterpart of classical Sincov’s functional equation on the set of nonnegative integers.

Funding Statement

The authors are partially supported by FAPESP grant 2013/07375-0.

Citation

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Nikolai Kolev. Sabrina Mulinacci. "Probability solutions of the Sincov’s functional equation on the set of nonnegative integers." Braz. J. Probab. Stat. 36 (4) 685 - 691, December 2022. https://doi.org/10.1214/22-BJPS548

Information

Received: 1 January 2022; Accepted: 1 August 2022; Published: December 2022
First available in Project Euclid: 21 December 2022

MathSciNet: MR4524514
zbMATH: 07644488
Digital Object Identifier: 10.1214/22-BJPS548

Keywords: characterization , discrete Schur-constant models , Sibuya-type aging property , Sincov’s functional equation

Rights: Copyright © 2022 Brazilian Statistical Association

Vol.36 • No. 4 • December 2022
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