From invariance under binomial thinning to unification of the Cauchy and the Gołąb- Schinzel-type equations

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DC pole	Wartość	Język
dc.contributor.author	Baron, Karol	-
dc.date.accessioned	2021-08-06T09:53:48Z	-
dc.date.available	2021-08-06T09:53:48Z	-
dc.date.issued	2021	-
dc.identifier.citation	Results in Mathematics, 2021, Vol 76, iss. 4, art.no. 168	pl_PL
dc.identifier.issn	1420-9012	-
dc.identifier.issn	1422-6383	-
dc.identifier.uri	http://hdl.handle.net/20.500.12128/21047	-
dc.description.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.	pl_PL
dc.language.iso	en	pl_PL
dc.rights	Uznanie autorstwa 3.0 Polska	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/pl/	*
dc.subject	Cauchy equation	pl_PL
dc.subject	Gołąb–Schinzel equation	pl_PL
dc.subject	binomial thinning	pl_PL
dc.subject	power series family	pl_PL
dc.title	From invariance under binomial thinning to unification of the Cauchy and the Gołąb- Schinzel-type equations	pl_PL
dc.type	info:eu-repo/semantics/article	pl_PL
dc.relation.journal	Results in Mathematics	pl_PL
dc.identifier.doi	10.1007/s00025-021-01457-8	-
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