Document Type
Article
Publication Date
1-2021
Abstract
We investigate a family of probability distributions, with three parameters associated with the dynamic Gompertz function. We prove its existence for various parameter sets and discuss the existence of its time scale moments. Afterwards, we investigate the special case of discrete time scales, where it is shown that the discrete Gompertz distribution is a q -geometric distribution of the second kind. Further, we find their q -binomial moments, we bound their expected value, and we show how a classical Gompertz distribution is obtained from them.
Recommended Citation
Cuchta, Tom; Niichel, Robert Jon; and Streipert, Sabrina (2021) "A Gompertz distribution for time scales," Turkish Journal of Mathematics: Vol. 45: No. 1, Article 12. https://doi.org/10.3906/mat-2003-101
Comments
The copy of record is available from the publisher at https://doi.org/10.3906/mat-2003-101. © TÜBİTAK. This work is licensed under a Creative Commons Attribution 4.0 International License.