For those interested in the theory of point processes, Mohamed Karray, uploaded some lecture slides, which are based on the book manuscript:
- 2024 – Baccelli, Błaszczyszyn, and Karray – Random Measures, Point Processes, and Stochastic Geometry.
I have written about this manuscript in a previous post.
Although both the slides and manuscript lean heavily on the side of mathematical rigour, applications are the driving motivation. For example, the third set of slides cover Palm calculus, which hinges upon the important concept of conditioning on a point (of the random point process) existing at a specific location. This idea is frequently used in mathematical models of wireless telecommunication networks based on stochastic geometry. (Unfortunately the Wikipedia article on Palm calculus is sorely lacking and only looks at the temporal, not spatial, setting.)
Karray, a researcher at Orange Labs in Paris, also has slides and (mostly forthcoming) manuscripts on machine learning and statistics, which take a rather rigorous route. It’s a French touch, mathematically, as measure theory appears.