Maximization of ESI. Jaynes principle in testing significant inputs of linear model

Random Operators and Stochastic Equations

Volumn 6, Issue 4, 1998, Pages 311-330

  Malyutov, M ^a   Sadaka, H ^b  

^a NORTHEASTERN UNIVERSITY   (United States)

^b ALEXANDRIA UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345637412     PISSN: 09266364     EISSN: 1569397X     Source Type: Journal    
DOI: 10.1515/rose.1998.6.4.311     Document Type: Article

References (27)

1. T. A. Budne. Application of Random Balance Designs, Technometrics 1, 2 (1959).
2. I. Csisz r and J. K rner. Information Theory: Coding Theorems for Discrete Memoryless Systems. Academic Press and Akademiai Kiado, Budapest (1981).
3. T. M. Cover and J. A. Thomas. Elements of Information Theory. Wiley, New York (1991).
4. A. G. Dyachkov. On a Search Model of False Coins, in Colloquia Mathematic Societatis Janos Bolyai: Topics in Information Theory, Keszthely (1975), North-Holand, Amsterdam (1977).
5. A. G. Dyachkov and A. M. Rashad. Universal Decoding for Random Design of Screening Experiments, Microelectronics Reliability, 29, 6, 965-971 (1989).
6. P. Erd s and A. Renyi. On two Problems of Information Theory, Publ. Math. Inst. of Hung. Acad.of Sc.} bf 8, 229-243 (1963).
7. V. L. Freidlina. On One Problem of Screening Experimental Design, Theory Probab. Appl. 20, 1 (1975).
8. R. G. Gallager. Informatiom theory and reliable communication. Wiley, New York.
9. W. H rdle and A. P. Korostelev. Search for Significant Variables in Nonpar ametric Additive Regression, Discussion Paper No.42, SFB 373, Humboldt-Universitaet zu Berlin (1994).
10. W. H rdle and A. B. Tsybakov. Additive Nonparametric Regression on Principal Components, Discussion Paper No. 39, SFB 373, Humboldt-Universitaet zu Berlin (1994).
11. S. Karlin. Mathematical Methods in Game Theory, Programming and Economics. Addison-Wesley, Reading. MA (1959).
12. S. Kullback. Information Theory and Statistics. Wiley, New York (1956)
13. B. Lindström. Determining Subsets by Unramified Experiments. A Survey of Statistical Design and Linear Models, North-Holland Pub.Co, 407-418 (1975).
14. M. B. Malyutov. Mathematical Models and Results in the Theory of Screening Experiments. In: Theoretical Problems of Experimental Design (ed. M. B. Malyutov), Sov. Radio, 5-69. (In Russian).
15. M. B. Malyutov. Information-Theoretic Methods of Design and Analysis of Experiments. D. Sei. Thesis, Moscow State University (1983a). (In Russian).
16. M. B. Malyutov. On the Limit Rate of Screening Designs, Theory Probab. and Appl. 24, 3 (1979). (In Russian).
17. M. B. Malyutov. Log-Efficient Search for Significant Variables of Linear Model, Journal of Statistical Planning and Inference, forthcoming (1997).
18. M. B. Malyutov and A. G. Dyachkov. On weakly separating designs. Methods of transmission and processing information, Nauka, Moscow (1980). (In Russian).
19. M. B. Malyutov and P. S. Mateev. Planning of Screening Experiments for a Nonsymmetric Response Function, Math. Zametki 27, 1, English translation by Plenum Publ. Co., 57-68 (1980).
20. M. B. Malyutov and M. S. Pinsker. Note on the Simplest Model of the Random Balance Method. Probabilistic Methods of Research. Moscow University Press (ed. A. N. Kolmogorov) (1972). (In Russian).
21. M. B. Malyutov and I.I Tsitovich. On Sequential Search for Significant Variables of Unknown Function, Proceeding of Qth-Lucacs Symposium, " 115-138, VSP, Netherlands (1996).
22. M. B. Malyutov and H. P. Wynn. Screening of Significant Variables of an Additive Smooth Function. In: Markov Processes and Related Fields. Festschrift for E. B. Dynkin (ed. M. I. Freidlin), Birkhäuser, Boston (1994).
23. M. B. Malyutov et al. Non-Parametric Search for Significant Variables of Unknown Function, In: Proceedings of International Conference on Distributed Computer Communication Networks, November 4-7, Tel-Aviv, Israel, 134-141 (1997).
24. P. S. Mateev. On Entropy of a Polynomial Distribution. Theory Probab. and Appl. 23, 1, 196-198 (1978).
25. L. D. Meshalkin. To the Justification of Random Balance Method. Industrial Laboratory, 36, 3 (1970).
26. A. Renyi. On The Theory of Random Search. Bull. Amer. Math. Soc. 71, 6, 809-828 (1965)
27. J. Viemeister. Diplomarbeit, Bielefeld University (1982).