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Volumn 63, Issue 1, 2011, Pages 43-58

A general divergence criterion for prior selection

Author keywords

Chi square distance; Fisher information number; Jeffreys' prior

Indexed keywords

ASYMPTOTIC EXPANSION; CHI-SQUARE DISTANCE; FISHER INFORMATION NUMBER; JEFFREYS; KULLBACK-LEIBLER; ONE PARAMETER FAMILY;

EID: 79551680811     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-009-0226-4     Document Type: Article
Times cited : (18)

References (20)
  • 1
    • 0000344740 scopus 로고
    • Differential geometry of curved exponential families-curvatures and information loss
    • 0507.62026 10.1214/aos/1176345779 653513
    • S. Amari 1982 Differential geometry of curved exponential families-curvatures and information loss The Annals of Statistics 10 357 387 0507.62026 10.1214/aos/1176345779 653513
    • (1982) The Annals of Statistics , vol.10 , pp. 357-387
    • Amari, S.1
  • 2
    • 0002183088 scopus 로고
    • Reference posterior distributions for Bayesian inference
    • 0428.62004 547240
    • J.M. Bernardo 1979 Reference posterior distributions for Bayesian inference Journal of the Royal Statistical Society, Series B 41 113 147 0428.62004 547240
    • (1979) Journal of the Royal Statistical Society, Series B , vol.41 , pp. 113-147
    • Bernardo, J.M.1
  • 3
    • 0002215069 scopus 로고
    • On a measure of divergence between two statistical populations defined by their probability distributions
    • 0063.00364 10358
    • A.K. Bhattacharyya 1943 On a measure of divergence between two statistical populations defined by their probability distributions Bulletin of the Calcutta Mathematical Society 35 99 109 0063.00364 10358
    • (1943) Bulletin of the Calcutta Mathematical Society , vol.35 , pp. 99-109
    • Bhattacharyya, A.K.1
  • 4
    • 0025430804 scopus 로고
    • Information-theoretic asymptotics of Bayes methods
    • DOI 10.1109/18.54897
    • B. Clarke A. Barron 1990 Information-theoretic asymptotics of Bayes methods IEEE Transactions on Information Theory 36 453 471 0709.62008 10.1109/18.54897 1053841 (Pubitemid 20713732)
    • (1990) IEEE Transactions on Information Theory , vol.36 , Issue.3 , pp. 453-471
    • Clarke Bertrand, S.1    Barron Andrew, R.2
  • 5
    • 0002138061 scopus 로고
    • Jeffreys' prior is asymptotically least favorable under entropy risk
    • 0820.62006 10.1016/0378-3758(94)90153-8 1292146
    • B. Clarke A. Barron 1994 Jeffreys' prior is asymptotically least favorable under entropy risk Journal of Statistical Planning and Inference 41 37 60 0820.62006 10.1016/0378-3758(94)90153-8 1292146
    • (1994) Journal of Statistical Planning and Inference , vol.41 , pp. 37-60
    • Clarke, B.1    Barron, A.2
  • 6
    • 0041378327 scopus 로고    scopus 로고
    • Reference priors under the chi-square distance
    • 0884.62006 1665703
    • B. Clarke D. Sun 1997 Reference priors under the chi-square distance Sankhya, Series A 59 215 231 0884.62006 1665703
    • (1997) Sankhya, Series A , vol.59 , pp. 215-231
    • Clarke, B.1    Sun, D.2
  • 7
    • 6544265019 scopus 로고    scopus 로고
    • Asymptotics of the expected posterior
    • 0948.62014 10.1023/A:1003891404142 1704652
    • B. Clarke D. Sun 1999 Asymptotics of the expected posterior Annals of the Institute of Statistical Mathematics 51 163 185 0948.62014 10.1023/A: 1003891404142 1704652
    • (1999) Annals of the Institute of Statistical Mathematics , vol.51 , pp. 163-185
    • Clarke, B.1    Sun, D.2
  • 10
    • 0346936623 scopus 로고    scopus 로고
    • Reference prior in multiparameter nonregular cases
    • 0905.62023 10.1007/BF02564432 1466439
    • S. Ghosal 1997 Reference prior in multiparameter nonregular cases Test 6 1 159 186 0905.62023 10.1007/BF02564432 1466439
    • (1997) Test , vol.6 , Issue.1 , pp. 159-186
    • Ghosal, S.1
  • 11
    • 9844262795 scopus 로고    scopus 로고
    • Asymptotic expansion of posterior distributions in nonregular cases
    • 0882.62010 10.1023/A:1003127108965 1450700
    • S. Ghosal T. Samanta 1997 Asymptotic expansion of posterior distributions in nonregular cases Annals of the Institute of Statistical Mathematics 49 1 181 197 0882.62010 10.1023/A:1003127108965 1450700
    • (1997) Annals of the Institute of Statistical Mathematics , vol.49 , Issue.1 , pp. 181-197
    • Ghosal, S.1    Samanta, T.2
  • 12
    • 0347567621 scopus 로고    scopus 로고
    • Expansion of Bayes risk for entropy loss and refernce prior in nonregular cases
    • 0902.62008 1475184
    • S. Ghosal T. Samanta 1997 Expansion of Bayes risk for entropy loss and refernce prior in nonregular cases Statistics and Decisions 15 129 140 0902.62008 1475184
    • (1997) Statistics and Decisions , vol.15 , pp. 129-140
    • Ghosal, S.1    Samanta, T.2
  • 13
    • 0001218443 scopus 로고
    • Non-informative priors (with discussion)
    • J.M. Bernardo J.O. Berger A.P. David A.F.M. Smith (eds). Oxford University Press London
    • Ghosh J.K., Mukerjee R. (1992) Non-informative priors (with discussion). In: Bernardo J.M., Berger J.O., David A.P., Smith A.F.M. (eds) Bayesian statistics 4. Oxford University Press, London, pp 195-210
    • (1992) Bayesian Statistics 4 , pp. 195-210
    • Ghosh, J.K.1    Mukerjee, R.2
  • 14
    • 0032235890 scopus 로고    scopus 로고
    • The maximum likelihood prior
    • 0927.62023 10.1214/aos/1024691462 1700222
    • J.A. Hartigan 1998 The maximum likelihood prior The Annals of Statistics 26 6 2083 2103 0927.62023 10.1214/aos/1024691462 1700222
    • (1998) The Annals of Statistics , vol.26 , Issue.6 , pp. 2083-2103
    • Hartigan, J.A.1
  • 15
    • 84941476533 scopus 로고
    • Neue begründung der theorie quadratischen formen von unendlichen vielen veränderlichen
    • 10.1515/crll.1909.136.210
    • E. Hellinger 1909 Neue begründung der theorie quadratischen formen von unendlichen vielen veränderlichen Journal Für Reine und Angewandte Mathematik 136 210 271 10.1515/crll.1909.136.210
    • (1909) Journal für Reine und Angewandte Mathematik , vol.136 , pp. 210-271
    • Hellinger, E.1
  • 17
    • 0003414592 scopus 로고
    • 3 Oxford University Press London 0116.34904
    • Jeffreys H. (1961) Theory of probability (3rd ed.). Oxford University Press, London
    • (1961) Theory of Probability
    • Jeffreys, H.1
  • 18
    • 0030327756 scopus 로고    scopus 로고
    • The selection of prior distributions by formal rules
    • 0884.62007 10.2307/2291752
    • R.E. Kass L. Wasserman 1996 The selection of prior distributions by formal rules Journal of the American Statistical Association 91 1343 1370 0884.62007 10.2307/2291752
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 1343-1370
    • Kass, R.E.1    Wasserman, L.2
  • 20
    • 0001249987 scopus 로고
    • On the measure of the information provided by an experiment
    • 0073.14103 10.1214/aoms/1177728069 83936
    • D.V. Lindley 1956 On the measure of the information provided by an experiment The Annals of Mathematical Statistics 27 986 1005 0073.14103 10.1214/aoms/1177728069 83936
    • (1956) The Annals of Mathematical Statistics , vol.27 , pp. 986-1005
    • Lindley, D.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.