3 papers
math.ST2021
Toward a deeper understanding of a basic cascade
Uwe Saint-Mont
Towards the end of the last century, B. Mandelbrot saw the importance, revealed the beauty, and robustly promoted (multi-)fractals. Multiplicative cascades are closely related and…
stat.AP2018
On the Logic (plus some history and philosophy) of Statistical Tests and Scientific Investigation
Uwe Saint-Mont
Every scientific endeavour consists of (at least) two components: A hypothesis on the one hand and data on the other. There is always a more or less abstract level - some theory, a…
math.ST2017
Beyond the law of large numbers: Introducing progressive sampling, weaving, the geometric triangle, and corresponding distributions
Uwe Saint-Mont
In probability theory and statistics, the IID model represents a single population, and a large, potentially infinite sample from this population. Main theorems, in particular the…