메뉴 건너뛰기




Volumn 103, Issue 1, 2009, Pages 125-135

Natural induction: An objective bayesian approach

Author keywords

Bayes factors; Binomial model; Finite parameter space; Finite population sampling; Jeffreys prior Hypergeometric model; Laplace law of succession; Natural induction; Objective Bayes; Objective prior; Precise hypothesis testing; Reference analysis

Indexed keywords

BAYESIAN NETWORKS; POPULATION STATISTICS; STATISTICAL TESTS;

EID: 70349906256     PISSN: 15787303     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03191839     Document Type: Article
Times cited : (10)

References (21)
  • 1
    • 0001185873 scopus 로고
    • An essay towards solving a problem in the doctrine of chances. published posthumously
    • 54, 296-325
    • Bayes, T., (1763). An essay towards solving a problem in the doctrine of chances. Published posthumously in Phil. Trans. Roy. Soc. London, 53, 370-418 and 54, 296-325.
    • (1763) Phil. Trans. Roy. Soc. London , vol.53 , pp. 370-418
    • Bayes, T.1
  • 2
    • 0001141391 scopus 로고
    • On the development of reference priors
    • (J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith, eds.), Oxford: University Press(with discussion
    • Berger, J. O. and Bernardo, J. M. (1992). On the development of reference priors. Bayesian Statistics 4 (J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith, eds.), Oxford: University Press, 35-60 (with discussion).
    • (1992) Bayesian Statistics 4 , pp. 35-60
    • Berger, J.O.1    Bernardo, J.M.2
  • 3
    • 65349189629 scopus 로고    scopus 로고
    • The formal definition of reference priors
    • Berger, J., Bernardo, J. M. and Sun, D. (2009). The formal definition of reference priors. Ann. Statist., 37, 905-938.
    • (2009) Ann. Statist , vol.37 , pp. 905-938
    • Berger, J.1    Bernardo, J.M.2    Sun, D.3
  • 4
    • 70349971507 scopus 로고    scopus 로고
    • Reference priors for discrete parameter spaces
    • Berger, J., Bernardo, J. M. and Sun, D. (2009). Reference priors for discrete parameter spaces. Submitted.
    • (2009) Submitted
    • Berger, J.1    Bernardo, J.M.2    Sun, D.3
  • 5
    • 0002183088 scopus 로고
    • Reference posterior distributions for bayesian inference
    • (with discussion). Reprinted in
    • Bernardo, J. M. (1979). Reference posterior distributions for Bayesian inference. J. Roy. Statist. Soc. B, 41, 113-147 (with discussion)
    • (1979) J. Roy. Statist. Soc. B , vol.41 , pp. 113-147
    • Bernardo, J.M.1
  • 6
    • 84883258674 scopus 로고    scopus 로고
    • (G. C. Tiao and N. G. Polson, eds.) Oxford: Edward Elgar
    • Reprinted in Bayesian Inference, 1 (G. C. Tiao and N. G. Polson, eds.) Oxford: Edward Elgar, 229-263.
    • Bayesian Inference , vol.1 , pp. 229-263
  • 7
    • 51849182940 scopus 로고
    • On a famous problem of induction
    • Bernardo, J. M. (1985). On a famous problem of induction. Trab. Estadist., 36, 24-30.
    • (1985) Trab. Estadist. , vol.36 , pp. 24-30
    • Bernardo, J.M.1
  • 8
    • 67649373558 scopus 로고    scopus 로고
    • Reference analysis
    • D. K. Dey and C. R. Rao, eds.) Amsterdam: Elsevier
    • Bernardo, J. M. (2005). Reference analysis. Handbook of Statistics, 25, (D. K. Dey and C. R. Rao, eds.) Amsterdam: Elsevier, 17-90.
    • (2005) Handbook of Statistics , vol.25 , pp. 17-90
    • Bernardo, J.M.1
  • 10
    • 29444450125 scopus 로고
    • On the relation between induction and probability
    • Broad, C. D. (1918). On the relation between induction and probability. Mind, 27, 389-404.
    • (1918) Mind , vol.27 , pp. 389-404
    • Broad, C.D.1
  • 11
    • 84873751778 scopus 로고
    • An invariant form for the prior probability in estimation problems
    • Jeffreys, H. (1946). An invariant form for the prior probability in estimation problems. Proc. Royal Soc. London A, 186, 453-461.
    • (1946) Proc. Royal Soc. London A , vol.186 , pp. 453-461
    • Jeffreys, H.1
  • 14
    • 0000834243 scopus 로고
    • Memoire sur la probabilite des causes par les evenements
    • Reprinted in
    • Laplace, P. S. (1774). Memoire sur la probabilite des causes par les evenements. Mem. Acad. Sci. Paris, 6, 621-656.
    • (1774) Mem. Acad. Sci. Paris , vol.6 , pp. 621-656
    • Laplace, P.S.1
  • 15
    • 70349948877 scopus 로고
    • Paris: Gauthier-Villars
    • Reprinted in Oeuvres Completes 8, 27-68. Paris: Gauthier-Villars, 1891.
    • (1891) Oeuvres Completes , vol.8 , pp. 27-68
  • 16
    • 70349952166 scopus 로고
    • Theorie analytique des probabilités
    • Paris: Courcier. Reprinted in, Paris: Gauthier-Villars
    • Laplace, P. S. (1812). Theorie Analytique des Probabilités. Paris: Courcier. Reprinted in Oeuvres Completes de Laplace, 7, 1878-1912. Paris: Gauthier-Villars.
    • (1812) Oeuvres Completes de Laplace , vol.7 , pp. 1878-1912
    • Laplace, P.S.1
  • 17
    • 0000471495 scopus 로고
    • Some observations on inverse probability including a new indifference rule
    • (with discussion
    • Perks, W. (1947). Some observations on inverse probability including a new indifference rule. J. Inst. Actuaries 73, 285-334 (with discussion).
    • (1947) J. Inst. Actuaries , vol.73 , pp. 285-334
    • Perks, W.1
  • 18
    • 77955125911 scopus 로고    scopus 로고
    • Harold jeffreys' theory of probability revisited
    • (to appear, with discussion
    • Robert, C. P., ChopinN. and Rousseau, J. (2009). Harold Jeffreys' Theory of Probability revisited. Statist. Science, 23, (to appear, with discussion).
    • (2009) Statist. Science , vol.23
    • Chopinn., P.R.C.1    Rousseau, J.2
  • 19
    • 0010081152 scopus 로고
    • On certain fundamental principles of scientific inquiry
    • 45, 368-374
    • Wrinch, D. and Jeffreys, H. (1921-1923). On certain fundamental principles of scientific inquiry. Philosophical Magazine 42, 369-390 and 45, 368-374.
    • (1921) Philosophical Magazine , vol.42 , pp. 369-390
    • Wrinch, D.1    Jeffreys, H.2
  • 20
    • 0000861078 scopus 로고
    • The rule of succession
    • Zabell, S. L. (1989). The rule of succession. Erkenntnis, 31, 283-321.
    • (1989) Erkenntnis , vol.31 , pp. 283-321
    • Zabell, S.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.