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Volumn 53, Issue 7, 2012, Pages 1003-1019

Mathematical foundations for a theory of confidence structures

Author keywords

Cartesian product; Confidence distribution; Dempster Shafer; p Value; Random set

Indexed keywords

CARTESIAN PRODUCTS; CONFIDENCE DISTRIBUTION; DEMPSTER-SHAFER; P-VALUES; RANDOM SET;

EID: 84864453448     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2012.05.006     Document Type: Article
Times cited : (56)

References (28)
  • 7
    • 78649443407 scopus 로고    scopus 로고
    • Confidence Distribution (CD): Distribution Estimator of a Parameter
    • K. Singh, M. Xie, and W.E. Strawderman Confidence Distribution (CD): Distribution Estimator of a Parameter Lecture Notes-Monograph Series 54 2007 132 150
    • (2007) Lecture Notes-Monograph Series , vol.54 , pp. 132-150
    • Singh, K.1    Xie, M.2    Strawderman, W.E.3
  • 10
    • 42649122985 scopus 로고    scopus 로고
    • The Dempster-Shafer calculus for statisticians
    • DOI 10.1016/j.ijar.2007.03.004, PII S0888613X07000278
    • A.P. Dempster The Dempster-Shafer calculus for statisticians International Journal of Approximate Reasoning 48 2008 365 377 (Pubitemid 351602152)
    • (2008) International Journal of Approximate Reasoning , vol.48 , Issue.2 , pp. 365-377
    • Dempster, A.P.1
  • 13
    • 17444395010 scopus 로고    scopus 로고
    • first ed. Springer-Verlag London, England
    • I. Molchanov Theory of Random Sets first ed. 2005 Springer-Verlag London, England
    • (2005) Theory of Random Sets
    • Molchanov, I.1
  • 14
    • 38149132056 scopus 로고    scopus 로고
    • Classic works of the dempster shafer theory of belief functions: An introduction
    • R.R. Yager, L. Liu, Springer-Verlag Berlin, Germany
    • R.R. Yager, and L. Liu Classic works of the dempster shafer theory of belief functions: an introduction R.R. Yager, L. Liu, Classic Works of the Dempster-Shafer Theory of Belief Functions 2008 Springer-Verlag Berlin, Germany 1 34
    • (2008) Classic Works of the Dempster-Shafer Theory of Belief Functions , pp. 1-34
    • Yager, R.R.1    Liu, L.2
  • 17
    • 38849184167 scopus 로고    scopus 로고
    • A set-theoretic view of belief functions: Logical operations and approximations by fuzzy sets
    • R.R. Yager, L. Liu, Springer-Verlag Berlin, Germany
    • D. Dubois, and H. Prade A set-theoretic view of belief functions: logical operations and approximations by fuzzy sets R.R. Yager, L. Liu, Classic Works of the Dempster-Shafer Theory of Belief Functions 2008 Springer-Verlag Berlin, Germany 375 410
    • (2008) Classic Works of the Dempster-Shafer Theory of Belief Functions , pp. 375-410
    • Dubois, D.1    Prade, H.2
  • 18
    • 0000186592 scopus 로고
    • The fiducial argument in statistical inference
    • R.A. Fisher The fiducial argument in statistical inference Annals of Eugenics 6 1935 391 398
    • (1935) Annals of Eugenics , vol.6 , pp. 391-398
    • Fisher, R.A.1
  • 19
    • 0002063018 scopus 로고
    • Probabilistic arithmetic. I. Numerical methods for calculating convolutions and dependency bounds
    • R.C. Williamson, and T. Downs Probabilistic arithmetic. I. Numerical methods for calculating convolutions and dependency bounds International Journal of Approximate Reasoning 4 1990 89 158
    • (1990) International Journal of Approximate Reasoning , vol.4 , pp. 89-158
    • Williamson, R.C.1    Downs, T.2
  • 20
    • 33750483555 scopus 로고    scopus 로고
    • Approximate representations of random intervals for hybrid uncertainty quantification in engineering modeling
    • K.M. Hanson, F.M. Hemez, Los Alamos National Laboratory Albuquerque, NM
    • C. Joslyn, and S. Ferson Approximate representations of random intervals for hybrid uncertainty quantification in engineering modeling K.M. Hanson, F.M. Hemez, 4th International Conference on Sensitivity Analysis of Model Output 2005 Los Alamos National Laboratory Albuquerque, NM
    • (2005) 4th International Conference on Sensitivity Analysis of Model Output
    • Joslyn, C.1    Ferson, S.2
  • 21
    • 0346072186 scopus 로고    scopus 로고
    • R.A. Fisher in the 21st Century
    • B. Efron R.A. Fisher in the 21st Century Statistical Science 13 2 1998 95 122
    • (1998) Statistical Science , vol.13 , Issue.2 , pp. 95-122
    • Efron, B.1
  • 24
    • 33645528403 scopus 로고
    • Structural Probability and a Generalization
    • D.A.S. Fraser Structural Probability and a Generalization Biometrika 53 1966 1 9
    • (1966) Biometrika , vol.53 , pp. 1-9
    • Fraser, D.A.S.1
  • 26
    • 38649121145 scopus 로고    scopus 로고
    • New methods for reasoning towards posterior distributions based on sample data
    • R.R. Yager, L. Liu, Springer-Verlag Berlin, Germany
    • A.P. Dempster New methods for reasoning towards posterior distributions based on sample data R.R. Yager, L. Liu, Classic Works of the Dempster-Shafer Theory of Belief Functions 2008 Springer-Verlag Berlin, Germany 35 56
    • (2008) Classic Works of the Dempster-Shafer Theory of Belief Functions , pp. 35-56
    • Dempster, A.P.1
  • 27
    • 79952586529 scopus 로고    scopus 로고
    • Dempster-Shafer inference with weak beliefs
    • J. Zhang, and C. Liu Dempster-Shafer inference with weak beliefs Statistica Sinica 21 2011 475 494
    • (2011) Statistica Sinica , vol.21 , pp. 475-494
    • Zhang, J.1    Liu, C.2
  • 28
    • 0037097192 scopus 로고    scopus 로고
    • Reconciling frequentist properties with the likelihood principle
    • P. Walley Reconciling frequentist properties with the likelihood principle Journal of Statistical Planning and Inference 105 2002 35 65
    • (2002) Journal of Statistical Planning and Inference , vol.105 , pp. 35-65
    • Walley, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.