In this paper we propose and study a new distribution, called the hypogeometric distribution, which is a sum of independent geometrically distributed variables with different parameters. Also, we propose and study a discrete time point process based on this distribution. As an example, we focus on a particular form of this process. Also, we show that this type of processes could be used as an appropriate tool to model arrivals with increasing or decreasing time trends. Some possible extensions of this work are also included in the paper.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Article |
Authors | |
Publication Date | July 31, 2022 |
Acceptance Date | February 21, 2022 |
Published in Issue | Year 2022 Volume: 14 Issue: 1 |