A Very General De Finetti-Type Theorem

Paul Ressel
Additional contact information
Paul Ressel: Katholische Universität Eichstätt, Math.-Geogr. Fakultät

A chapter in Probability and Bayesian Statistics, 1987, pp 403-413 from Springer

Abstract: Abstract A few years ago it turned out that De Finetti’s famous theorem concerning exchangeable 0–1 valued random variables can also be proved by harmonic analysis means, applied to the special semigroup {(k,n) ∊ IN o 2 |k ≦ n}. This is no pure coincidence; a careful inspection of the new proof revealed that many other De Finetti-type theorems, old and new ones, could be shown the same way, among them Schoenberg’s representation of spherically symmetric random sequences, Hewitt and Savage’s far-reaching generalisation of De Finetti’s original result, and numerous characterisations of mixtures of i.i.d.-sequences with concrete prescribed distributions.

Keywords: Brownian Bridge; Positive Definite Function; Bernstein Function; Convolution Semigroup; Abelian Semigroup (search for similar items in EconPapers)
Date: 1987
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-1885-9_41

Ordering information: This item can be ordered from
http://www.springer.com/9781461318859

DOI: 10.1007/978-1-4613-1885-9_41

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().