论文信息 - Some Connections Between the Theory of Sufficient Statistics and the Identifiability Problem

Some Connections Between the Theory of Sufficient Statistics and the Identifiability Problem

In this paper the identifiability problem is formulated as a dual of the data reduction problem in statistical inference. Some classical results in the theory of sufficient statistics are dualized in order to obtain criteria for finding “maximal identifiable statistics” in parametric models. Applications to identifiability of linear dynamical systems are discussed.

G. Picci

[1] Howard L. Weinert,et al. Structure determination and parameter identification for multivariable stochastic linear systems , 1975 .

[2] M. Denham. Canonical forms for the identification of multivariable linear systems , 1974 .

[3] J. Willems,et al. Parametrizations of linear dynamical systems: Canonical forms and identifiability , 1974 .

[4] Keith Glover. Structural Aspects of System Identification , 1973 .

[5] E. Tse,et al. On the identifiability of parameters , 1971, CDC 1971.

[6] V. Popov. Invariant Description of Linear, Time-Invariant Controllable Systems , 1972 .

[7] T. Rothenberg. Identification in Parametric Models , 1971 .

[8] Thomas Kailath,et al. ABSOLUTE CONTINUITY AND RADON-NIKODYM DERIVATIVES FOR CERTAIN MEASURES RELATIVE TO WIENER MEASURE' , 1971 .

[9] L. A. Shepp,et al. Conditions for absolute continuity between a certain pair of probability measures , 1970 .

[10] B. Anderson. The inverse problem of stationary covariance generation , 1969 .

[11] Michael A. Arbib,et al. Topics in Mathematical System Theory , 1969 .

[12] G. Kallianpur,et al. Arbitrary system process with additive white noise observation errors , 1968 .

[13] Michel Loève,et al. Probability Theory I , 1977 .

[14] R. R. Bahadur. Sufficiency and Statistical Decision Functions , 1954 .

[15] L. J. Savage,et al. Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics , 1949 .