Size bias for one and all

By Richard Arratia, Larry Goldstein, Fred Kochman. Probability Surveys, 2013

66 citations recorded by the source corpus.

Size bias occurs famously in waiting-time paradoxes, undesirably in sampling schemes, and unexpectedly in connection with Stein's method, tightness, analysis of the lognormal distribution, Skorohod embedding, infinite divisibility, and number theory. In this paper we review the basics and survey some of these unexpected connections.

Subfields: Artificial Intelligence, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/b1c2c7dd8aabd3e2fd72bfa852888145d4945ae2

How researchers see this paper

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

In Artificial Intelligence

1. Nicholas A. Cook
2. Tobias Johnson
3. Larry Goldstein
4. Michel Denuit
5. Nathan Ross
6. Johana Nešlehová
7. Louis H. Y. Chen
8. Adrian Röllin

In Mathematical Physics

1. Tobias Johnson
2. Larry Goldstein
3. Nicholas A. Cook

In Statistics and Probability

1. Tobias Johnson
2. Larry Goldstein
3. Nicholas A. Cook
4. Michel Denuit
5. Johana Nešlehová
6. Thomas Kneib
7. N. Klein
8. Stefan Lang

Citations in the corpus

• SIZE-BIASED TRANSFORM AND CONDITIONAL MEAN RISK SHARING, WITH APPLICATION TO P2P INSURANCE AND TONTINES (2019, background): “The size-biased transform has been comprehensively reviewed by Arratia et al. (2019).”
• Size biased couplings and the spectral gap for random regular graphs (2015, methodology): “Many appearances of the size biased distribution in probability and statistics, some quite unexpected, are reviewed in [4].”