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Information-theoretic approach to measurement reduction problems. (English) Zbl 0195.20501

MSC:
62C99 Statistical decision theory
94A15 Information theory (general)
91C05 Measurement theory in the social and behavioral sciences
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References:
[1] I. Csiszár: Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten. Publications of the Mathematical Institute of the Hungarian Academy of Sciences VIII (1963), Series A, 85-108. · Zbl 0124.08703
[2] A. Perez: Information, \(\varepsilon\)-Sufficiency and Data Reduction problems. Kybernetika 1 (1965), 4, 297-323. · Zbl 0156.40603
[3] A. Perez: Information Theory Methods in Reducing Complex Decision Problems. Transactions of Fourth Prague Conference on Information Theory (1965), Prague 1967, 55-87.
[4] A. Perez: Information-Theoretic Risk Estimates in Statistical Decision. Kybernetika 3 (1967), 1,1-21. · Zbl 0153.48403
[5] A. Perez: Risk Estimates in Terms of Generalized f-Entropies. Proceedings of the Colloquium on Information Theory organized by the Bolyai Mathematical Society, Debrecen, (Hungary) 299-315, 1967.
[6] H. Chernoff: A measure of asymptotic efficiency for tests of a hypothesis based on a sum of observations. Ann. Math. Stat. 23 (1952), 4. · Zbl 0048.11804
[7] I. Vajda: On the convergence of informaiotn contained in a sequence of observations. Proceedings of the Colloquium on Information Theory, Debrecen, (Hungary), 1967, 489-501.
[8] A. Perez: On the Reducibility of a Set of Statistical Hypotheses. Paper presented at the 37th Session of the International Statistical Institute, London, September 1969.
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