In Kyriakoussis and Vamvakari (Citation2017), page 4092 and line 7 from the top the assumption
(b) In the consecutive mutually disjoint time intervals of length correspond ν independent events (arrivals). should be completed as follows
(b) In the consecutive mutually disjoint time intervals of length and correspond independent events (arrivals).
The above complement with the disjoint time interval of length has been included in the assumption (b) of the paper Vamvakari (Citation2020) (page 6083 and line 12 from the top) according to a suggestion of an anonymous referee.
References
- Kyriakoussis, A., and M. G. Vamvakari. 2017. Heine process as a q-analog of the Poisson process-waiting and interarrival times. Communications in Statistics - Theory and Methods 46 (8):4088–102. https://www.tandfonline.com/doi/full/10.1080/03610926.2015.1078476. doi: 10.1080/03610926.2015.1078476.
- Vamvakari, M. G. 2020. On multivariate discrete q-distributions-A multivariate q-Cauchy’s formula. Communications in Statistics - Theory and Methods 49 (24):6080–95. https://www.tandfonline.com/doi/full/10.1080/03610926.2019.1626427. doi: 10.1080/03610926.2019.1626427.