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Gulati, Chandra M.

Selection of certain dichotomous experiments. (English) Zbl 0458.62005

Ann. Inst. Stat. Math. 32, 421-431 (1980).
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MSC:

62B15 Theory of statistical experiments
62C12 Empirical decision procedures; empirical Bayes procedures
62C10 Bayesian problems; characterization of Bayes procedures

Keywords:

dichotomous experiments; optimal experiments; optimal allocation; Bayes risk
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References:

[1] Abramson, L. R. (1966). Asymptotic sequential design of experiments with two random variables,J. Roy. Statist. Soc., B,28, 73-87. · Zbl 0152.37602
[2] Blackwell, D. (1951). Comparison of experiments,Proc. Second Berkeley Symp. Math. Statist. Prob., 93-102. · Zbl 0044.14203
[3] Bradt, R. N. and Karlin, S. (1956). On the design and comparison of certain dichotomous experiments.Ann. Math. Statist.,27, 390-409. · Zbl 0072.36102 · doi:10.1214/aoms/1177728265
[4] Chernoff, H. (1972).Sequential Analysis and Optimal Design, SIAM, Philadelphia. · Zbl 0265.62024 · doi:10.1137/1.9781611970593
[5] DeGroot, M. H. (1970).Optimal Statistical Decisions, McGraw-Hill, New York. · Zbl 0225.62006
[6] Feldman, D. (1972). Some properties of Bayesian orderings of experiments,Ann. Math. Statist.,43, 1428-1440. · Zbl 0257.62007 · doi:10.1214/aoms/1177692375
[7] Lehmann, E. L. (1959).Testing Statistical Hypotheses, John Wiley, New York. · Zbl 0089.14102
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