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Volumn 172, Issue 11, 2008, Pages 1400-1427

Imprecise probability trees: Bridging two theories of imprecise probability

Author keywords

Coherence; Conglomerability; Event tree; Game theoretic probability; Hoeffding's inequality; Immediate prediction; Imprecise probabilities; Imprecise probability tree; Law of large numbers; Lower prevision; Markov chain; Prequential Principle; Probability tree; Random process

Indexed keywords

COMPUTATIONAL COMPLEXITY; GAME THEORY; PROBABILITY;

EID: 43949127711     PISSN: 00043702     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.artint.2008.03.001     Document Type: Article
Times cited : (70)

References (39)
  • 1
    • 0003741352 scopus 로고
    • Dover Publications, New York reprint 1961
    • Boole G. The Laws of Thought (1847), Dover Publications, New York reprint 1961
    • (1847) The Laws of Thought
    • Boole, G.1
  • 2
    • 43949145362 scopus 로고    scopus 로고
    • M.A. Campos, G.P. Dimuro, A.C. da Rocha Costa, V. Kreinovich, Computing 2-step predictions for interval-valued finite stationary Markov chains, Technical Report UTEP-CS-03-20a, University of Texas at El Paso, 2003
    • M.A. Campos, G.P. Dimuro, A.C. da Rocha Costa, V. Kreinovich, Computing 2-step predictions for interval-valued finite stationary Markov chains, Technical Report UTEP-CS-03-20a, University of Texas at El Paso, 2003
  • 6
    • 33749590337 scopus 로고    scopus 로고
    • Prequential probability: Principles and properties
    • Dawid A.Ph., and Vovk V.G. Prequential probability: Principles and properties. Bernoulli 5 (1999) 125-162
    • (1999) Bernoulli , vol.5 , pp. 125-162
    • Dawid, A.Ph.1    Vovk, V.G.2
  • 8
    • 43049113889 scopus 로고    scopus 로고
    • Symmetry of models versus models of symmetry
    • Harper W.L., and Wheeler G.R. (Eds), King's College Publications
    • de Cooman G., and Miranda E. Symmetry of models versus models of symmetry. In: Harper W.L., and Wheeler G.R. (Eds). Probability and Inference: Essays in Honor of Henry E. Kyburg, Jr. (2007), King's College Publications 67-149
    • (2007) Probability and Inference: Essays in Honor of Henry E. Kyburg, Jr. , pp. 67-149
    • de Cooman, G.1    Miranda, E.2
  • 9
    • 4644341667 scopus 로고    scopus 로고
    • Updating beliefs with incomplete observations
    • de Cooman G., and Zaffalon M. Updating beliefs with incomplete observations. Artificial Intelligence 159 1-2 (2004) 75-125
    • (2004) Artificial Intelligence , vol.159 , Issue.1-2 , pp. 75-125
    • de Cooman, G.1    Zaffalon, M.2
  • 15
    • 43949145016 scopus 로고    scopus 로고
    • Ch. Huygens, Van Rekeningh in Spelen van Geluck, 1656-1657. Reprinted in vol. XIV of [16]
    • Ch. Huygens, Van Rekeningh in Spelen van Geluck, 1656-1657. Reprinted in vol. XIV of [16]
  • 16
    • 0009086062 scopus 로고
    • Martinus Nijhoff, Den Haag Twenty-two volumes. Available in digitised form from the Bibliothèque nationale de France
    • Huygens Ch. Œuvres complètes de Christiaan Huygens (1888-1950), Martinus Nijhoff, Den Haag. http://gallica.bnf.fr Twenty-two volumes. Available in digitised form from the Bibliothèque nationale de France
    • (1950) Œuvres complètes de Christiaan Huygens
    • Huygens, Ch.1
  • 17
    • 0036533632 scopus 로고    scopus 로고
    • Interval-valued finite Markov chains
    • Kozine I.O., and Utkin L.V. Interval-valued finite Markov chains. Reliable Computing 8 2 (2002) 97-113
    • (2002) Reliable Computing , vol.8 , Issue.2 , pp. 97-113
    • Kozine, I.O.1    Utkin, L.V.2
  • 18
    • 0004195190 scopus 로고
    • Kyburg Jr. H.E., and Smokler H.E. (Eds), Wiley, New York Second edition (with new material) 1980
    • In: Kyburg Jr. H.E., and Smokler H.E. (Eds). Studies in Subjective Probability (1964), Wiley, New York Second edition (with new material) 1980
    • (1964) Studies in Subjective Probability
  • 21
    • 0014757386 scopus 로고
    • A general method applicable to the search for similarities in the amino acid sequence of two proteins
    • Needleman S.B., and Wunsch C.D. A general method applicable to the search for similarities in the amino acid sequence of two proteins. Journal of Molecular Biology 48 (1970) 443-453
    • (1970) Journal of Molecular Biology , vol.48 , pp. 443-453
    • Needleman, S.B.1    Wunsch, C.D.2
  • 22
    • 0001776741 scopus 로고
    • Truth and probability (1926)
    • Braithwaite R.B. (Ed), Kegan, Paul, Trench, Trubner & Co., London Chapter VII, reprinted in [18] and [12]
    • Ramsey F.P. Truth and probability (1926). In: Braithwaite R.B. (Ed). The Foundations of Mathematics and other Logical Essays (1931), Kegan, Paul, Trench, Trubner & Co., London 156-198 Chapter VII, reprinted in [18] and [12]
    • (1931) The Foundations of Mathematics and other Logical Essays , pp. 156-198
    • Ramsey, F.P.1
  • 23
    • 0012705922 scopus 로고
    • Bayes's two arguments for the rule of conditioning
    • Shafer G. Bayes's two arguments for the rule of conditioning. The Annals of Statistics 10 (1982) 1075-1089
    • (1982) The Annals of Statistics , vol.10 , pp. 1075-1089
    • Shafer, G.1
  • 24
    • 34250148874 scopus 로고
    • A subjective interpretation of conditional probability
    • Shafer G. A subjective interpretation of conditional probability. Journal of Philosophical Logic 12 (1983) 453-466
    • (1983) Journal of Philosophical Logic , vol.12 , pp. 453-466
    • Shafer, G.1
  • 28
    • 0037382864 scopus 로고    scopus 로고
    • A new understanding of subjective probability and its generalization to lower and upper prevision
    • Shafer G., Gillett P.R., and Scherl R.B. A new understanding of subjective probability and its generalization to lower and upper prevision. International Journal of Approximate Reasoning 33 (2003) 1-49
    • (2003) International Journal of Approximate Reasoning , vol.33 , pp. 1-49
    • Shafer, G.1    Gillett, P.R.2    Scherl, R.B.3
  • 31
    • 58149242745 scopus 로고    scopus 로고
    • Finite discrete time Markov chains with interval probabilities
    • Lawry J., Miranda E., Bugarin A., Li S., Gil M.A., Grzegorzewski P., and Hryniewicz O. (Eds), Springer, Berlin
    • Škulj D. Finite discrete time Markov chains with interval probabilities. In: Lawry J., Miranda E., Bugarin A., Li S., Gil M.A., Grzegorzewski P., and Hryniewicz O. (Eds). Soft Methods for Integrated Uncertainty Modelling (2006), Springer, Berlin 299-306
    • (2006) Soft Methods for Integrated Uncertainty Modelling , pp. 299-306
    • Škulj, D.1
  • 34
    • 0030146168 scopus 로고    scopus 로고
    • Measures of uncertainty in expert systems
    • Walley P. Measures of uncertainty in expert systems. Artificial Intelligence 83 1 (1996) 1-58
    • (1996) Artificial Intelligence , vol.83 , Issue.1 , pp. 1-58
    • Walley, P.1
  • 36
    • 4444291580 scopus 로고    scopus 로고
    • Direct algorithms for checking consistency and making inferences from conditional probability assessments
    • Walley P., Pelessoni R., and Vicig P. Direct algorithms for checking consistency and making inferences from conditional probability assessments. Journal of Statistical Planning and Inference 126 (2004) 119-151
    • (2004) Journal of Statistical Planning and Inference , vol.126 , pp. 119-151
    • Walley, P.1    Pelessoni, R.2    Vicig, P.3
  • 38
    • 43949124577 scopus 로고    scopus 로고
    • P.M. Williams, Notes on conditional previsions, Technical report, School of Mathematical and Physical Science, University of Sussex, UK, 1975
    • P.M. Williams, Notes on conditional previsions, Technical report, School of Mathematical and Physical Science, University of Sussex, UK, 1975
  • 39
    • 33846463860 scopus 로고    scopus 로고
    • Notes on conditional previsions
    • Revised journal version of [38]
    • Williams P.M. Notes on conditional previsions. International Journal of Approximate Reasoning 44 (2007) 366-383 Revised journal version of [38]
    • (2007) International Journal of Approximate Reasoning , vol.44 , pp. 366-383
    • Williams, P.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.