Size bias for one and all

2013/08/13 by Arratia, Richard, Goldstein, Larry, Kochman, Fred · 3 citations
#60-02 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1308.2729

Abstract

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.

Cited by

• On generalized arcsine laws and residual allocation models
• Poisson operator on the interacting Fock space associated with a discrete-time quantum walk
• Approximations for the number of maxima and near-maxima in independent data

Related

• Size bias, sampling, the waiting time paradox, and infinite divisibility: when is the increment independent?
• On curious properties of the general size-biased distribution
• Bias and Division in the Free World
• Bounded size biased couplings, log concave distributions and\n concentration of measure for occupancy models
• Pseudorandomness, symmetry, smoothing: I