Distributions agreeing with exchangeable sequential forecasting

American Statistician

Volumn 55, Issue 2, 2001, Pages 131-139

  Lad, Frank ^a   Scozzafava, Romano ^b  

^a UNIVERSITY OF CANTERBURY   (New Zealand)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Coherence; Sufficient statistics

Indexed keywords

EID: 0035595386     PISSN: 00031305     EISSN: None     Source Type: Journal    
DOI: 10.1198/000313001750358617     Document Type: Article

References (9)

1. Coletti, G., and Scozzafava, R. (1996), "Characterization of Coherent Conditional Probabilities as a Tool for Their Assessment and Extension," International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 4, 103-127.
2. Diaconis, P., and Freedman, D. (1984), "Partial Exchangeability and Sufficiency," in Statistics: Applications and New Directions, eds. J. K. Ghosh and J. Roy, Calcutta: Indian Statistical Institute, pp. 205-236.
3. de Finetti, B. (1937), "La Prevision: Ses lois Logiques, Ses Sources Subjective," Annales de L'Institute Henri Poincaré, 7, 1-68.
4. _ (1952), "Gli Eventi Equivalenti e il Caso Degenere," Gior. Ist. Ital. Att., 1-2, 40-64. (Reprinted with English translation, "Equivalent Events and the Degenerate Case," in Probabilità e Induzione, 1993, Bologna: CLUEB, Biblioteca di Statistica, 389-413).
5. _ (1952), "Gli Eventi Equivalenti e il Caso Degenere," Gior. Ist. Ital. Att., 1-2, 40-64. (Reprinted with English translation, "Equivalent Events and the Degenerate Case," in Probabilità e Induzione, 1993, Bologna: CLUEB, Biblioteca di Statistica, 389-413).
6. Heath, D. L., and Sudderth, W. D. (1976) "De Finetti's Theorem for Exchangeable Random Variables," The American Statistician, 30, 188-189.
7. Lad, F. (1996), "Operational Subjective Statistical Methods: A Mathematical, Philosophical, and Historical Introduction," New York: Wiley.
8. Lad, F., Deely, J., and Piesse, A. (1995), "Coherency Conditions for Finite Exchangeable Inference," Journal of the Italian Statistical Society, 4, 195-213.
9. Lad, F., and Scozzafava, R. (1999), "On the Predictive Use of Insufficient Statistics: An Intriguing Family of Distributions," Research Report n. 178, Department of Mathematics and Statistics, University of Canterbury, Christchurch, NZ, May 1999, www.math.canterbury.ac.nz