title: Rounding effects in record statistics.
abstract: We analyze record-breaking events in time series of continuous random variables that are subsequently discretized by rounding to integer multiples of a discretization scale Δ>0. Rounding leads to ties of an existing record, thereby reducing the number of new records. For an infinite number of random variables that are drawn from distributions with a finite upper limit, the number of discrete records is finite, while for distributions with a thinner than exponential upper tail, fewer discrete records arise compared to continuous variables. In the latter case, the record sequence becomes highly regular at long times.
authors.affiliation: Institute for Theoretical Physics, University of Cologne, 50937 Köln, Germany.
authors.forename: G
authors.initials: G
authors.lastname: Wergen
authors.forename: D
authors.initials: D
authors.lastname: Volovik
authors.forename: S
authors.initials: S
authors.lastname: Redner
authors.forename: J
authors.initials: J
authors.lastname: Krug
mesh_terms: D055641:Mathematical Concepts; D013223:Statistics as Topic / Q000379:methods*