http://hdl.handle.net/20.500.12128/21047
Title: | From invariance under binomial thinning to unification of the Cauchy and the Gołąb- Schinzel-type equations |
Authors: | Baron, Karol |
Keywords: | Cauchy equation; Gołąb–Schinzel equation; binomial thinning; power series family |
Issue Date: | 2021 |
Citation: | Results in Mathematics, 2021, Vol 76, iss. 4, art.no. 168 |
Abstract: | We point out to a connection between a problem of invariance of power series families of probability distributions under binomial thinning and functional equations which generalize both the Cauchy and an additive form of the Gołąb–Schinzel equation. We solve these equations in several settings with no or mild regularity assumptions imposed on unknown functions. |
URI: | http://hdl.handle.net/20.500.12128/21047 |
DOI: | 10.1007/s00025-021-01457-8 |
ISSN: | 1420-9012 1422-6383 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Baron_From_invariance_under_binomial.pdf | 598,3 kB | Adobe PDF | View/Open |
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