Geometric statistical inference

Nuclear Physics B

Volumn 554, Issue 3, 1999, Pages 719-730

  Periwal, Vipul ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

Bayesian statistics; Reparametrization invariance; Statistical inference

Indexed keywords

EID: 0033575644     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00278-3     Document Type: Article

References (22)

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13. J. Rissanen, Stochastic Complexity in Statistical Inquiry, (World Scientific, Singapore, 1989); S.I. Amari, O.E. Barndorff-Nielsen, R.E. Kass, S.L. Lauritzen, C.R. Rao, Differential Geometry in Statistical Inference, vol. 10, Institute for Math. Statistics Lecture Note-Monograph Series (1987); S.I. Amari, Differential Geometrical Methods in Statistics, (Springer-Verlag, 1985); P.M. Lee, Bayesian Statistics: An Introduction, (Oxford Univ. Press, 1989); C.P. Robert, The Bayesian Choice, (Springer-Verlag, 1994); J. Fabius, Ann. Math. Statist. 35 (1964) 846; T.S. Ferguson, Ann. Statist. 1 (1973) 209 2 (1974) 615; M.D. Escobar, M. West, J. Am. Stat. Assoc. 90 (1995) 577; B.G. Lindsay, Ann. Statist. 11 (1983) 86.
14. J. Rissanen, Stochastic Complexity in Statistical Inquiry, (World Scientific, Singapore, 1989); S.I. Amari, O.E. Barndorff-Nielsen, R.E. Kass, S.L. Lauritzen, C.R. Rao, Differential Geometry in Statistical Inference, vol. 10, Institute for Math. Statistics Lecture Note-Monograph Series (1987); S.I. Amari, Differential Geometrical Methods in Statistics, (Springer-Verlag, 1985); P.M. Lee, Bayesian Statistics: An Introduction, (Oxford Univ. Press, 1989); C.P. Robert, The Bayesian Choice, (Springer-Verlag, 1994); J. Fabius, Ann. Math. Statist. 35 (1964) 846; T.S. Ferguson, Ann. Statist. 1 (1973) 209 2 (1974) 615; M.D. Escobar, M. West, J. Am. Stat. Assoc. 90 (1995) 577; B.G. Lindsay, Ann. Statist. 11 (1983) 86.
15. J. Rissanen, Stochastic Complexity in Statistical Inquiry, (World Scientific, Singapore, 1989); S.I. Amari, O.E. Barndorff-Nielsen, R.E. Kass, S.L. Lauritzen, C.R. Rao, Differential Geometry in Statistical Inference, vol. 10, Institute for Math. Statistics Lecture Note-Monograph Series (1987); S.I. Amari, Differential Geometrical Methods in Statistics, (Springer-Verlag, 1985); P.M. Lee, Bayesian Statistics: An Introduction, (Oxford Univ. Press, 1989); C.P. Robert, The Bayesian Choice, (Springer-Verlag, 1994); J. Fabius, Ann. Math. Statist. 35 (1964) 846; T.S. Ferguson, Ann. Statist. 1 (1973) 209 2 (1974) 615; M.D. Escobar, M. West, J. Am. Stat. Assoc. 90 (1995) 577; B.G. Lindsay, Ann. Statist. 11 (1983) 86.
16. J. Rissanen, Stochastic Complexity in Statistical Inquiry, (World Scientific, Singapore, 1989); S.I. Amari, O.E. Barndorff-Nielsen, R.E. Kass, S.L. Lauritzen, C.R. Rao, Differential Geometry in Statistical Inference, vol. 10, Institute for Math. Statistics Lecture Note-Monograph Series (1987); S.I. Amari, Differential Geometrical Methods in Statistics, (Springer-Verlag, 1985); P.M. Lee, Bayesian Statistics: An Introduction, (Oxford Univ. Press, 1989); C.P. Robert, The Bayesian Choice, (Springer-Verlag, 1994); J. Fabius, Ann. Math. Statist. 35 (1964) 846; T.S. Ferguson, Ann. Statist. 1 (1973) 209 2 (1974) 615; M.D. Escobar, M. West, J. Am. Stat. Assoc. 90 (1995) 577; B.G. Lindsay, Ann. Statist. 11 (1983) 86.
17. J. Rissanen, Stochastic Complexity in Statistical Inquiry, (World Scientific, Singapore, 1989); S.I. Amari, O.E. Barndorff-Nielsen, R.E. Kass, S.L. Lauritzen, C.R. Rao, Differential Geometry in Statistical Inference, vol. 10, Institute for Math. Statistics Lecture Note-Monograph Series (1987); S.I. Amari, Differential Geometrical Methods in Statistics, (Springer-Verlag, 1985); P.M. Lee, Bayesian Statistics: An Introduction, (Oxford Univ. Press, 1989); C.P. Robert, The Bayesian Choice, (Springer-Verlag, 1994); J. Fabius, Ann. Math. Statist. 35 (1964) 846; T.S. Ferguson, Ann. Statist. 1 (1973) 209 2 (1974) 615; M.D. Escobar, M. West, J. Am. Stat. Assoc. 90 (1995) 577; B.G. Lindsay, Ann. Statist. 11 (1983) 86.
18. J. Rissanen, Stochastic Complexity in Statistical Inquiry, (World Scientific, Singapore, 1989); S.I. Amari, O.E. Barndorff-Nielsen, R.E. Kass, S.L. Lauritzen, C.R. Rao, Differential Geometry in Statistical Inference, vol. 10, Institute for Math. Statistics Lecture Note-Monograph Series (1987); S.I. Amari, Differential Geometrical Methods in Statistics, (Springer-Verlag, 1985); P.M. Lee, Bayesian Statistics: An Introduction, (Oxford Univ. Press, 1989); C.P. Robert, The Bayesian Choice, (Springer-Verlag, 1994); J. Fabius, Ann. Math. Statist. 35 (1964) 846; T.S. Ferguson, Ann. Statist. 1 (1973) 209 2 (1974) 615; M.D. Escobar, M. West, J. Am. Stat. Assoc. 90 (1995) 577; B.G. Lindsay, Ann. Statist. 11 (1983) 86.
19. J. Rissanen, Stochastic Complexity in Statistical Inquiry, (World Scientific, Singapore, 1989); S.I. Amari, O.E. Barndorff-Nielsen, R.E. Kass, S.L. Lauritzen, C.R. Rao, Differential Geometry in Statistical Inference, vol. 10, Institute for Math. Statistics Lecture Note-Monograph Series (1987); S.I. Amari, Differential Geometrical Methods in Statistics, (Springer-Verlag, 1985); P.M. Lee, Bayesian Statistics: An Introduction, (Oxford Univ. Press, 1989); C.P. Robert, The Bayesian Choice, (Springer-Verlag, 1994); J. Fabius, Ann. Math. Statist. 35 (1964) 846; T.S. Ferguson, Ann. Statist. 1 (1973) 209 2 (1974) 615; M.D. Escobar, M. West, J. Am. Stat. Assoc. 90 (1995) 577; B.G. Lindsay, Ann. Statist. 11 (1983) 86.
20. J. Rissanen, Stochastic Complexity in Statistical Inquiry, (World Scientific, Singapore, 1989); S.I. Amari, O.E. Barndorff-Nielsen, R.E. Kass, S.L. Lauritzen, C.R. Rao, Differential Geometry in Statistical Inference, vol. 10, Institute for Math. Statistics Lecture Note-Monograph Series (1987); S.I. Amari, Differential Geometrical Methods in Statistics, (Springer-Verlag, 1985); P.M. Lee, Bayesian Statistics: An Introduction, (Oxford Univ. Press, 1989); C.P. Robert, The Bayesian Choice, (Springer-Verlag, 1994); J. Fabius, Ann. Math. Statist. 35 (1964) 846; T.S. Ferguson, Ann. Statist. 1 (1973) 209 2 (1974) 615; M.D. Escobar, M. West, J. Am. Stat. Assoc. 90 (1995) 577; B.G. Lindsay, Ann. Statist. 11 (1983) 86.
21. D. Dey, P. Müller and D. Sinha, Eds., Practical non-parametric and semiparametric bayesian statistics, Lect. Notes in Statistics 133 (Springer, New York, 1998).
22. S. Coleman, Aspects of Symmetry, Ch. 7 (Cambridge Univ. Press, Cambridge, 1975).