Editing Geometric distribution (section)

== Applications ==
The geometric distribution is used in many disciplines. In [[queueing theory]], the [[M/M/1 queue]] has a steady state following a geometric distribution.<ref>{{Cite book |last=Daskin |first=Mark S. |url=https://link.springer.com/10.1007/978-3-031-02493-1 |title=Bite-Sized Operations Management |publisher=Springer International Publishing |year=2021 |isbn=978-3-031-01365-2 |series=Synthesis Lectures on Operations Research and Applications |location=Cham |page=127 |language=en |doi=10.1007/978-3-031-02493-1}}</ref> In [[Stochastic process|stochastic processes]], the Yule Furry process is geometrically distributed.<ref>{{Cite book |last1=Madhira |first1=Sivaprasad |url=https://link.springer.com/10.1007/978-981-99-5601-2 |title=Introduction to Stochastic Processes Using R |last2=Deshmukh |first2=Shailaja |publisher=Springer Nature Singapore |year=2023 |isbn=978-981-99-5600-5 |location=Singapore |page=449 |language=en |doi=10.1007/978-981-99-5601-2}}</ref> The distribution also arises when modeling the lifetime of a device in discrete contexts.<ref>{{Citation |last1=Gupta |first1=Rakesh |title=Some Discrete Parametric Markov–Chain System Models to Analyze Reliability |date=2023 |work=Advances in Reliability, Failure and Risk Analysis |pages=305–306 |editor-last=Garg |editor-first=Harish |url=https://link.springer.com/10.1007/978-981-19-9909-3_14 |access-date=2024-07-13 |place=Singapore |publisher=Springer Nature Singapore |language=en |doi=10.1007/978-981-19-9909-3_14 |isbn=978-981-19-9908-6 |last2=Gupta |first2=Shubham |last3=Ali |first3=Irfan}}</ref> It has also been used to fit data including modeling patients spreading [[COVID-19]].<ref>{{Cite journal |last=Polymenis |first=Athanase |date=2021-10-01 |title=An application of the geometric distribution for assessing the risk of infection with SARS-CoV-2 by location |url=https://www.nepjol.info/index.php/AJMS/article/view/38783 |journal=Asian Journal of Medical Sciences |volume=12 |issue=10 |pages=8–11 |doi=10.3126/ajms.v12i10.38783 |issn=2091-0576|doi-access=free }}</ref>