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Volumn 7, Issue 2, 2001, Pages 211-221

Sufficient conditions for finite dimensionality of filters in discrete time: A Laplace transform-based approach

Author keywords

Dynamic bayes formula; Exponential families; Finite dimensional filters; Infinitely divisible distributions; Inverse laplace transform; State space models

Indexed keywords


EID: 0012945490     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.2307/3318736     Document Type: Article
Times cited : (12)

References (14)
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  • 2
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    • Barndorff-Nielsen, O.1
  • 3
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    • Sufficient data reduction and exponential families
    • Barndorff-Nielsen, O. and Pedersen, K. (1968) Sufficient data reduction and exponential families. Math. Scand., 22, 197-202.
    • (1968) Math. Scand. , vol.22 , pp. 197-202
    • Barndorff-Nielsen, O.1    Pedersen, K.2
  • 4
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    • Invariant conditional distributions
    • Bather, J.A. (1965) Invariant conditional distributions. Ann. Math. Statist., 36, 829-846.
    • (1965) Ann. Math. Statist. , vol.36 , pp. 829-846
    • Bather, J.A.1
  • 6
    • 0000811835 scopus 로고
    • Conjugate priors for exponential families
    • Diaconis, P. and Ylvisaker, D. (1979) Conjugate priors for exponential families. Ann. Statist., 7, 269-281.
    • (1979) Ann. Statist. , vol.7 , pp. 269-281
    • Diaconis, P.1    Ylvisaker, D.2
  • 7
    • 33749835426 scopus 로고
    • An Introduction to Probability Theory and Its Applications, Vol
    • Feller, W. (1970) An Introduction to Probability Theory and Its Applications, Vol. II. New York: Wiley. Ferrante, M. (1993) On the existence of finite-dimensional filters in discrete time. Stochastics Stochastics Rep., 40, 169-179.
    • (1970) II. New York: Wiley. Ferrante, M. , vol.1993 , pp. 169-179
    • Feller, W.1
  • 8
    • 0025211516 scopus 로고
    • On necessary conditions for the existence of finitedimensional filters in discrete time
    • Ferrante, M. and Runggaldier, W.J. (1990) On necessary conditions for the existence of finitedimensional filters in discrete time. Systems Control Lett., 14, 63-69.
    • (1990) Systems Control Lett. , vol.14 , pp. 63-69
    • Ferrante, M.1    Runggaldier, W.J.2
  • 9
    • 0009184265 scopus 로고    scopus 로고
    • Finite dimensional filters for'.nonlinear stochastic difference equations with multiplicative noises
    • Ferrante, M. and Vidoni, P. (1998) Finite dimensional filters for'.nonlinear stochastic difference equations with multiplicative noises. Stochastic Process. Appl., 77, 69-81.
    • (1998) Stochastic Process. Appl. , vol.77 , pp. 69-81
    • Ferrante, M.1    Vidoni, P.2
  • 11
    • 0019696829 scopus 로고
    • Finite-dimensional filter systems in discrete time
    • Sawitzki, G. (1981) Finite-dimensional filter systems in discrete time. Stochastics, 5, 107-114.
    • (1981) Stochastics , vol.5 , pp. 107-114
    • Sawitzki, G.1
  • 14
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    • Dynamic generalized linear models and Bayesian forecasting
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    • Migon, H.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.