The Moment Problem for Finitely Additive Probabilities

Enrique Miranda; Gert de Cooman; Erik Quaeghebeur

doi:10.1142/9789812792358_0003

The Moment Problem for Finitely Additive Probabilities

Enrique Miranda
, Gert de Cooman
, Erik Quaeghebeur

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

Abstract

We study the moment problem for finitely additive probabilities and show that the information provided by the moments is equivalent to the one given by the associated lower and upper distribution functions.

Original language	English
Title of host publication	Uncertainty and Intelligent Information Systems
Editors	B. Bouchon-Meunier, R. R. Yager, C. Marsala, M. Rifqi
Publisher	World Scientific
Pages	33-45
Number of pages	13
ISBN (Print)	978-981-279-234-1
DOIs	https://doi.org/10.1142/9789812792358_0003
Publication status	Published - 2008
Externally published	Yes

Keywords

coherent lower previsions
moment problem
lower and upper distribution functions

Access to Document

10.1142/9789812792358_0003

http://hdl.handle.net/1854/LU-430153

1 Conference contribution

The moment problem for finitely additive probabilities
Miranda, E., de Cooman, G. & Quaeghebeur, E., 2006, Proceedings of the Eleventh International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems. Editions E.D.K., Vol. I. p. 89-96 8 p.
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Open Access

Cite this

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title = "The Moment Problem for Finitely Additive Probabilities",

abstract = "We study the moment problem for finitely additive probabilities and show that the information provided by the moments is equivalent to the one given by the associated lower and upper distribution functions.",

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author = "Enrique Miranda and \{de Cooman\}, Gert and Erik Quaeghebeur",

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KW - coherent lower previsions

KW - moment problem

KW - lower and upper distribution functions

U2 - 10.1142/9789812792358_0003

DO - 10.1142/9789812792358_0003

M3 - Chapter

SN - 978-981-279-234-1

SP - 33

EP - 45

BT - Uncertainty and Intelligent Information Systems

A2 - Bouchon-Meunier, B.

A2 - Yager, R. R.

A2 - Marsala, C.

A2 - Rifqi, M.

PB - World Scientific

ER -

The Moment Problem for Finitely Additive Probabilities

Abstract

Keywords

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Research output

The moment problem for finitely additive probabilities

Cite this