References
Bechhofer, R. E. (1954). A single sample mutiple decision procedure for ranking means of normal populations with known variances,Ann. Math. Statist.,25, 16–39.
Box, G.E.P. and Hunter, W. G. (1965). Sequential design of experiments for nonlinear models,I.B.M. Computing Symposium on Statistics, Oct. 1963.
Box, G. E. P. and Tiao, G. C. (1965). Multiparameter problems from a Bayesian point of view,Ann. Math. Statist.,36, 1468–1482.
Child, D. R. (1967). Reduction of the multivariate normal integral to characteristic form,Biometrika,54, 293–300.
Curnow, R. N. and Dunnett, C. W. (1962). Numerical evaluation of certain mutlivariate normal integrals,Ann. Math. Statist.,33, 571–579.
DeGroot, M. H. (1970).Optimal Statistical Decision, McGraw-Hill, New York.
Draper, N. R. and Guttman, I. (1968). Some Bayesian stratified two-phase sampling results,Biometrika,55, 131–139.
Draper, N. R. and Hunter, W. G. (1967). The use of prior distributions in the design of experiments for parameter estimation,Biometrika,54, 147–153.
Dunnett, C. W. (1960). On selecting the largest ofk normal population means,J. R. Statist. Soc., B,22, 1–40.
Elving, G. (1959). Design of linear experiments, inProbability and Statistics: Harold, Cramer, vol. Ed., U. Grenander, Wiley, New York, 58–74.
Ericson, W. A. (1965). Optimum stratified sampling using prior information,J. Amer. Statist. Ass.,60, 750–771.
Ericson, W. A. (1970). Subjective Bayesian models in sampling finite populations, (with Discussion),J. R. Statist. Soc., B,31, 195–233.
Grundy, P. M., Healy, M. J. R. and Rees, D. H. (1956). Economic choice of the amount of experimentation,J. R. Statist. Soc., B,18, 32–55.
Hardy, G. H., Littlewood, J. E. and Pólya, G. (1959).Inequalities, Cambridge University Press.
Ihm, P. (1959). Numerical evaluation of certain multivariate normal integrals,Sankhya,21, 363–366.
John, S. (1959). On the evaluation of the probability integral of a multivariate normal distribution,Sankhya,21, 367–370.
Kendall, M. G. and Stuart, A. (1966).The Advanced Theory of Statistics, vol. 3, Griffin, London.
Kiefer, J. (1958). On the non randomized optimality and randomized nonoptimality of symmetric desings,Ann. Math. Statist.,29, 675–699.
Kiefer, J. (1959). Optimum experimental designs (with Discussion),J. R. Statist. Soc., B,21, 272–319.
Lindley, D. V. (1971).Bayesian Statistics, A Review, Society for Industrial and Applied Mathematics, Philadelphia.
Moran, P.A.P. (1968).An Introduction to Probability Theory, Clarendon Press, Oxford.
Plackett, R. L. (1954). A reduction formula for the normal multivariate integrals,Biometrika,41, 351–360.
Raiffa, H. and Schlaifer, R. (1961).Applied Statistical Decision Theory, Harvard University, Boston.
Steck, G. P. (1958). A table for computing trivariate normal probabilities,Ann. Math. Statist.,29, 780–800
Turing, A. M. (1948). Rounding off errors in matrix processes,Quart. J. Mech. and Applied Math.,1, 287.
Author information
Authors and Affiliations
About this article
Cite this article
Tiao, G.C., Afonja, B. Some bayesian considerations of the choice of design for ranking, selection and estimation. Ann Inst Stat Math 28, 167–185 (1976). https://doi.org/10.1007/BF02504738
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02504738