PROBABILITY ASYMPTOTICS: NOTES ON NOTATION

By Svante Janson. 2011

50 citations recorded by the source corpus.

We dene and compare several dierent versions of the O and o notations for random variables. The main purpose is to give proper denitions in order to avoid ambiguities and mistakes.

Subfields: Finance, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/42a18f74327532467118639ba826886725b67205

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Finance

1. Svante Janson
2. Ioannis Karatzas
3. Bernard Chazelle
4. Nir Ailon

In Statistics and Probability

1. Tomasz Luczak
2. Svante Janson
3. Thomas Vallier
4. Tatyana S. Turova
5. Robin Pemantle
6. Philippe Flajolet
7. Johan Wästlund
8. R. Stephenson

Citations in the corpus

• Simply generated trees, conditioned Galton–Watson trees, random allocations and condensation (2011, result): “We extend here some of these results to the general case, including cases where no equivalent probability weight sequence exists.”
• Majority bootstrap percolation on the random graph G(n,p) (2010, background): “At each step those vertices which have not been active but have at least r≥ 2 active neighbors become active as well.”