Completing the logarithmic scoring rule for assessing probability distributions

AIP Conference Proceedings

Volumn 1490, Issue 1, 2012, Pages 13-30

  Lad, Frank ^a   Sanfilippo, Giuseppe ^b   Agrò, Gianna ^b  

^a UNIVERSITY OF CANTERBURY   (New Zealand)

^b UNIVERSITY OF PALERMO   (Italy)

Author keywords

Dow Jones stock index; Entropy; Extropy; Logarithmic score; Proper scoring rules; Total log score

Indexed keywords

EID: 84870052585     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.4759585     Document Type: Article

References (18)

1. G. Agrò, G. Sanfilippo, and F. Lad. Sequentially forecasting economic indices using mixture linear combinations of ep distributions. Journal of Data Science, 8:101-126, 2010.
2. H. Akaike. A Celebration of Statistics: the ISI centenary volume, chapter Prediction and entropy, pages 1-24. New York: Springer-Verlag, 1985.
3. J. M. Bernardo. Expected information as expected utility. Annals of Statistics, 7:686-690, 1979.
4. A. Capotorti, F. Lad, and G. Sanfilippo. Reassessing accuracy rates of median decisions. The American Statistician, 61:132-138, 2007.
5. B. de Finetti. Probability, Induction and Statistics, chapter A useful notation, pages xviii-xxiv. New York: JohnWiley, 1972.
6. B. de Finetti. Theory of Probability, volume 1. New York: John Wiley., 1974.
7. M. DeGroot. Changes in utility as information. Theory and Decision, 17:287-303, 1984.
8. T. Gneiting and A. Raftery. Strictly proper scoring rules, prediction and estimation. Journal of the American Statistical Association, 102:359-378, 2007.
9. I. J Good. Probability and the weighing of evidence. London: Griffin, 1950.
10. I. J. Good. Good Thinking: the foundations of probability and its applications. Minneapolis: Univ. ofMinnesota Press, 1983.
11. H. Jeffreys. Theory of probability. Oxford: Oxford University Press, third edition edition, 1961.
12. F. Lad. Operational Subjective Statistical Methods: a mathematical, philosophical, and historical introduction. New York: JohnWiley, 1996.
13. F. Lad, G. Sanfilippo, and G. Agrò. Extropy: a complementary dual of entropy. arXiv, 2012. URL http://arxiv.org/abs/1109.6440.
14. J. Matheson and R. Winkler. Scoring rules for continuous probability distributions. Management Science, 22:1087-1096, 1976.
15. L. J. Savage. The elicitation of personal probabilities and expectations. Journal of the American Statistical Association, 66:783-801, 1971.
16. G. Schwartz. Estimating the dimension of a model. The Annals of Statistics, 5:461-464., 1978.
17. E. Shuford, A. Albert, and H. Massengill. Admissible probability measurement procedures. Psychometrica, 31:125-145, 1966.
18. D. Spiegelhalter, N. Best, B. Carlin, and A. van der Linde. Bayesian measures of model complexity andfit (with discussion). Journal of the Royal Statistical Society, B,, 64:583-639, 2002.