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Volumn 5, Issue 1, 1999, Pages 125-162

Prequential probability: Principles and properties

Author keywords

Farthingale; Forecasting; Goodness of fit; Limit theorems of probability theory; Martingale; Perfect information game; Strong prequential principle; Weak prequential principle

Indexed keywords


EID: 33749590337     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.2307/3318616     Document Type: Article
Times cited : (118)

References (34)
  • 3
    • 84950454029 scopus 로고
    • The well-calibrated Bayesian (with discussion)
    • Methuen. Dawid, A.P. (1982) The well-calibrated Bayesian (with discussion). J. Amer. Statist. Ass., 77, 605-613.
    • (1982) J. Amer. Statist. Ass. , vol.77 , pp. 605-613
    • Methuen Dawid, A.P.1
  • 4
    • 33645307763 scopus 로고
    • Inference, statistical: I
    • S. Kotz, N.L. Johnson and C.B. Read (eds), New York: Wiley-Interscience
    • Dawid, A.P. (1983) Inference, statistical: I. In S. Kotz, N.L. Johnson and C.B. Read (eds), Encyclopedia of Statistical Sciences, Vol. 4, pp. 89-105. New York: Wiley-Interscience.
    • (1983) Encyclopedia of Statistical Sciences , vol.4 , pp. 89-105
    • Dawid, A.P.1
  • 5
    • 0000582742 scopus 로고
    • Statistical theory: The prequential approach (with discussion)
    • Dawid, A.P. (1984) Statistical theory: the prequential approach (with discussion). J. Roy. Statist. Soc. A, 147, 278-292.
    • (1984) J. Roy. Statist. Soc. a , vol.147 , pp. 278-292
    • Dawid, A.P.1
  • 6
    • 0001740042 scopus 로고
    • Calibration-based empirical probability (with discussion)
    • Dawid, A.P. (1985) Calibration-based empirical probability (with discussion). Ann. Statist., 13, 12511285.
    • (1985) Ann. Statist. , vol.13 , pp. 12511285
    • Dawid, A.P.1
  • 7
    • 0000415224 scopus 로고
    • Probability forecasting
    • S. Kotz, N.L. Johnson and C.B. Read (eds), New York: Wiley-Interscience
    • Dawid, A.P. (1986) Probability forecasting. In S. Kotz, N.L. Johnson and C.B. Read (eds), Encyclopedia of Statistical Sciences, Vol. 7, pp. 210-218. New York: Wiley-Interscience.
    • (1986) Encyclopedia of Statistical Sciences , vol.7 , pp. 210-218
    • Dawid, A.P.1
  • 8
    • 0001851486 scopus 로고
    • Fisherian inference in likelihood and prequential frames of reference (with discussion)
    • Dawid, A.P. (1991) Fisherian inference in likelihood and prequential frames of reference (with discussion). J. Roy. Statist. Soc. B, 53, 79-109.
    • (1991) J. Roy. Statist. Soc. B , vol.53 , pp. 79-109
    • Dawid, A.P.1
  • 10
    • 33749607682 scopus 로고    scopus 로고
    • Hayward, CA: Institute of Mathematical Statistics
    • IMS Lecture Notes-Monograph Ser. 17. Hayward, CA: Institute of Mathematical Statistics.
    • IMS Lecture Notes-Monograph Ser. 17.
  • 11
    • 0000042224 scopus 로고
    • Prequential analysis, stochastic complexity and Bayesian inference (with discussion)
    • J.M. Bernardo, J. Berger, A.P. Dawid and A.F.M. Smith (eds), Oxford: Oxford University Press
    • Dawid, A.P. (1992b) Prequential analysis, stochastic complexity and Bayesian inference (with discussion). In J.M. Bernardo, J. Berger, A.P. Dawid and A.F.M. Smith (eds), Bayesian Statistics 4, pp. 109-125. Oxford: Oxford University Press,
    • (1992) Bayesian Statistics , vol.4 , pp. 109-125
    • Dawid, A.P.1
  • 14
    • 33749629698 scopus 로고
    • Conditional generalizations of strong laws which conclude the partial sums converge almost surely
    • Hill, T.P. (1982) Conditional generalizations of strong laws which conclude the partial sums converge almost surely. Ann. Probab., 10, 828-830.
    • (1982) Ann. Probab. , vol.10 , pp. 828-830
    • Hill, T.P.1
  • 16
    • 0001434559 scopus 로고
    • Borel determinacy
    • Martin, D. (1975) Borel determinacy. Ann. Math., 102, 363-371.
    • (1975) Ann. Math. , vol.102 , pp. 363-371
    • Martin, D.1
  • 17
    • 38249016342 scopus 로고
    • An extension of Borel determinacy
    • Martin, D. (1990) An extension of Borel determinacy. Ann. Pure Appl. Logic, 49, 279-293.
    • (1990) Ann. Pure Appl. Logic , vol.49 , pp. 279-293
    • Martin, D.1
  • 19
    • 0000301907 scopus 로고
    • Remarks on a multivariate transformation
    • Rosenblatt, M. (1952) Remarks on a multivariate transformation. Ann. Math. Statist., 23, 470-472.
    • (1952) Ann. Math. Statist. , vol.23 , pp. 470-472
    • Rosenblatt, M.1
  • 20
    • 0002894287 scopus 로고
    • Klassifikation der Zufallsgesetze nach Komplexität und Ordnung
    • Schnorr, C.P. (1970) Klassifikation der Zufallsgesetze nach Komplexität und Ordnung. Z. Wahrscheinlichkeitstheorie Ver\v. Geb., 16, 1-21.
    • (1970) Z. Wahrscheinlichkeitstheorie Ver\v. Geb. , vol.16 , pp. 1-21
    • Schnorr, C.P.1
  • 21
    • 0000583779 scopus 로고
    • A unified approach to the definition1 of random sequences
    • Schnorr, C.P. (1971a) A unified approach to the definition1 of random sequences. Math. Systems Theory, 5, 246-258.
    • (1971) Math. Systems Theory , vol.5 , pp. 246-258
    • Schnorr, C.P.1
  • 23
    • 21144464087 scopus 로고
    • On testing the vaHdity of sequential probability forecasts
    • Seillier-Moiseiwitsch, F. and Dawid, A.P. (1993) On testing the vaHdity of sequential probability forecasts. J. Am. Statist. Assoc., 88, 355-359.
    • (1993) J. Am. Statist. Assoc. , vol.88 , pp. 355-359
    • Seillier-Moiseiwitsch, F.1    Dawid, A.P.2
  • 27
    • 0001504983 scopus 로고
    • A martingale analogue of Kolmogorov's law of the iterated logarithm
    • Stout, W.F. (1970) A martingale analogue of Kolmogorov's law of the iterated logarithm. Z. Wahrscheinlichkeitstheorie Venv. Geb., 15, 279-290.
    • (1970) Z. Wahrscheinlichkeitstheorie Venv. Geb. , vol.15 , pp. 279-290
    • Stout, W.F.1
  • 30
    • 0007320462 scopus 로고
    • The law of the iterated logarithm for random Kolmogorov, or chaotic, sequences
    • Vovk, V.G. (1987) The law of the iterated logarithm for random Kolmogorov, or chaotic, sequences. Theory Probab. Applic., 32, 413-425.
    • (1987) Theory Probab. Applic. , vol.32 , pp. 413-425
    • Vovk, V.G.1
  • 31
    • 33749604556 scopus 로고
    • Kolmogorov-Stout law of the iterated logarithm
    • Vovk, VG. (1988) Kolmogorov-Stout law of the iterated logarithm. Math. Notes, 44, 502-507.
    • (1988) Math. Notes , vol.44 , pp. 502-507
    • Vovk, V.G.1
  • 32
    • 0000591974 scopus 로고
    • A logic of probability, with application to the foundations of statistics (with discussion)
    • Vovk, V.G. (1993a) A logic of probability, with application to the foundations of statistics (with discussion). J. Roy. Statist. Soc. B, 55, 317-351.
    • (1993) J. Roy. Statist. Soc. B , vol.55 , pp. 317-351
    • Vovk, V.G.1
  • 33
    • 51249166117 scopus 로고
    • Forecasting point and continuous processes: Prequential analysis
    • Vovk, V.G. (1993b) Forecasting point and continuous processes: prequential analysis. Test, 2, 189-217.
    • (1993) Test , vol.2 , pp. 189-217
    • Vovk, V.G.1
  • 34
    • 0002220695 scopus 로고    scopus 로고
    • A purely martingale version of Kolmogorov's strong law of large numbers
    • Vovk, V.G. (1996) A purely martingale version of Kolmogorov's strong law of large numbers. Theory Probab. Applic., 41, 605-608.
    • (1996) Theory Probab. Applic. , vol.41 , pp. 605-608
    • Vovk, V.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.