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Asma Althagafi
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Academic Career Length
4Years (2023-Present)
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Journal Article
AAAsma Althagafi
Asma AlthagafiMAMohamed Abdelkader
Mohamed AbdelkaderIn this paper, we consider a two-dimensional Moran model of random walks consisting of two queues evolving in parallel which can (at each unit of time) either increase by one or reset to 0. We analyze the joint law of their final altitude and prove that the asymptotic distribution of each component is a shifted geometric distribution and we analyze the maximum of these two components, also giving closed forms for the mean and variance.
About Me
I am Asma Althagafi from the Kingdom of Saudi Arabia; I am studying at the postgraduate level (Ph.D.) in the Department of Statistics and Operations Research at King Saud University. I obtained my Bachelor's degree in mathematics in 2011 at King Saud University and my Master’s degree from King Saud University, also in the Department of Statistics and Operations Research in 2016. I work as a lecturer at Imam Muhammad bin Saud Islamic University in the Department of Mathematics and Statistics. I have taught courses in statistics (for example, ones containing several statistical measures, such as mode, regression analysis, statistical packages, and biostaistics) and I have taught courses in mathematics as well.
In the context of our research, I am working on the Moran models and Height of walks with resets.