Geodesic
A discrete theory of search. I
Applications of Mathematics, Tome 16 (1971) no. 4, pp. 241-255

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In this paper an introduction to the theory of search, as developed in the previous papers of A. Rényi and the author, is given. Basic results of those papers are unified and summarized from a Bayesian point of view which is accepted throughout the paper. Some new results are established and a relation of the theory of search to the information theory is pointed out.
In this paper an introduction to the theory of search, as developed in the previous papers of A. Rényi and the author, is given. Basic results of those papers are unified and summarized from a Bayesian point of view which is accepted throughout the paper. Some new results are established and a relation of the theory of search to the information theory is pointed out.
DOI : 10.21136/AM.1971.103354
Classification : 60C05, 62L12, 90B40, 94A15, 94A24 
Vajda, Igor. A discrete theory of search. I. Applications of Mathematics, Tome 16 (1971) no. 4, pp. 241-255. doi: 10.21136/AM.1971.103354
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[1] I. Vajda: On random design of experiments. (in Russian). Information Transmission Problems 4 (1968), N. 4, 26-36. | MR

[2] A. Rényi: On the theory of random search. Bull. Amer. Math. Soc. 71 (1965), N. 1, 809-828. | DOI | MR

[3] J. Nedoma: Coding of finite sets of messages. Presented at 2nd Czechoslovak Conf. on Cybernetics, Prague 16.-19. XI. 1965.

[4] A. Feinstein: Foundations of Information Theory. McGraw Hill, N. Y. 1958. | MR | Zbl

[5] I. Vajda: Rate of convergence of the information in a sample concerning a parameter. Czechoslovak Math. Journal, 17 (1967), N. 2, 225-231. | MR | Zbl

[6] I. Vajda: On statistical decision problems with finite parameter space. Kybernetika 3 (1967), N. 5, 451-466. | MR

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