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The Moment Problem for Finitely Additive Probabilities

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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.
Keywords
coherent lower previsions, moment problem, lower and upper distribution functions

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Citation

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Chicago
Miranda, Enrique, Gert De Cooman, and Erik Quaeghebeur. 2008. “The Moment Problem for Finitely Additive Probabilities.” In Uncertainty and Intelligent Information Systems, ed. B. Bouchon-Meunier, R. R. Yager, C. Marsala, and M. Rifqi, 33–45. World Scientific.
APA
Miranda, E., De Cooman, G., & Quaeghebeur, E. (2008). The Moment Problem for Finitely Additive Probabilities. In B. Bouchon-Meunier, R. R. Yager, C. Marsala, & M. Rifqi (Eds.), Uncertainty and Intelligent Information Systems (pp. 33–45). World Scientific.
Vancouver
1.
Miranda E, De Cooman G, Quaeghebeur E. The Moment Problem for Finitely Additive Probabilities. In: Bouchon-Meunier B, Yager RR, Marsala C, Rifqi M, editors. Uncertainty and Intelligent Information Systems. World Scientific; 2008. p. 33–45.
MLA
Miranda, Enrique, Gert De Cooman, and Erik Quaeghebeur. “The Moment Problem for Finitely Additive Probabilities.” Uncertainty and Intelligent Information Systems. Ed. B. Bouchon-Meunier et al. World Scientific, 2008. 33–45. Print.
@incollection{430153,
  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.},
  author       = {Miranda, Enrique and De Cooman, Gert and Quaeghebeur, Erik},
  booktitle    = {Uncertainty and Intelligent Information Systems},
  editor       = {Bouchon-Meunier, B. and Yager, R. R. and Marsala, C. and Rifqi, M.},
  isbn         = {978-981-279-234-1},
  keyword      = {coherent lower previsions,moment problem,lower and upper distribution functions},
  language     = {eng},
  pages        = {33--45},
  publisher    = {World Scientific},
  title        = {The Moment Problem for Finitely Additive Probabilities},
  url          = {http://dx.doi.org/1854/12198},
  year         = {2008},
}

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