Partial sufficiency with connection to the identification problem

Metron

Volumn 61, Issue 2, 2003, Pages 267-283

  Oulhaj, Abderrahim ^a   Mouchart, Michel ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Identification; Partial observability; S sufficiency; Sufficiency; Sufficient parameter

Indexed keywords

EID: 84867190152     PISSN: 00261424     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Barankin, E. W. (1955b) Sufficient parameters: solution of the minimal dimensionality problem, Annals of the Institute of Statistical Mathematics, 12, 91-118.
2. Barndorff-Nielsen, O. (1978) Information and Exponential Families in Statistical Theory, John Wiley, New York.
3. Barra, J.-R. (1981) Mathematical Basis of Statistics, Academic Press, New York.
4. Basu, D. (1977) On the elimination of the nuisance parameters, Journal of the American Statistical Association, 72, 355-366.
5. Dawid, A. P. (1975) On the Concepts of Sufficiency and Ancillarity in the Presence of Nuisance Parameters, The Journal of the Royal Statistical Society, (Series B), 37, No. 2, 248-258.
6. Florens, J.-P., Mouchart, M., and Rolin, J.-M. (1990) Elements of Bayesian Statistics, Marcel Dekker, New York.
7. Fraser, D. A. S. (1956) Sufficient statistics with nuisance parameters, The Annals of the Mathematical Statistics, 27, 838-842.
8. Godambe, V. P. (1980) On sufficiency in the presence of a nuisance parameter, Biometrika, 67, No. 1, 155-162.
9. Halmos, P. R. and Savage, L. J. (1949) Application of the Radon-Nikodym theorem to the theory of sufficient statistics, The Annals of Mathematical Statistics, 20, 225-241.
10. LeCam, L. and Schwartz, L. (1960) A necessary and sufficient condition for the existence of consistent estimates, The Annals of Mathematical Statistics, 31, 140-150.
11. Littaye-Petit, M., Piednoir, J.-L., and Van Custem, B. (1969) Exhaustivité, Annales de l'Institut Henri Poincaré, 4, 289-322.
12. Mouchart, M. and Oulhaj, A. (2001) A note on partial sufficiency with connection to the identification problem, DP 0126, Institut de statistique, UCL, Louvain-la-Neuve (B).
13. Oulhaj, A. (2003) Partially sufficient statistics and identification in conditional models, PhD Thesis, Institut de statistique, UCL, Louvain-la-Neuve (B).
14. Picci, G. (1977) Some connections between the theory of sufficient statistics and the identifiability problem, SIAM Journal of applied mathematics, 33, No. 3, 383-398.
15. Rémon, M. (1984) On a concept of partial sufficiency: L-sufficiency, International Statistical Review, 52, 127-136.