References
- R. Bellman, Adaptive Control Processes: A
Guided Tour, Princeton University Press, New Jersey, 1961.
- D. A. Berry, ``Optimal sampling schemes
for estimating system reliability by testing components - I:
fixed sample sizes'', J. Amer. Statist. Assoc.
69 (1974), pp. 485-491.
- D. A. Berry and S. G. Eick, ``Decision
analysis of randomized clinical trials: comparison with
adaptive procedures'', Stat. and Med., to appear.
- R. Etzioni and J. Kadane, ``Optimal
experimental design for another's analysis'', J. Amer.
Statist. Assoc. 88 (1993), pp. 1404-1411.
- J. Hardwick and Q.F. Stout,
``Bandit strategies for ethical sequential
allocation'', Computing Science and Statistics
23 (1991), pp. 421-424.
Keywords: sequential allocation, dynamic programming, ethics,
clinical trials,
Gittens index, power, probability of correct selection, indifference region.
[Abstract |
Paper]
- J. Hardwick and Q.F. Stout,
``Optimal allocation for estimating the
product of two means'', Computing Science and Statistics
24 (1992), pp. 592-596.
Keywords: sequential allocation, nonlinear estimation,
dynamic programming, reliability, myopic allocation, fixed allocation.
[Abstract |
Paper]
- J. Hardwick and Q.F. Stout, ``Exact computational analyses for adaptive
designs'', in Adaptive Designs,
N. Flournoy and W.F. Rosenberger, eds., Institute of Math. Stat.
Lecture Notes Monograph Series Vol. 25, 1995, pp. 223-237.
Keywords: constrained dynamic programming, forward induction,
backward induction, Bayesian design, multiple criteria, clinical trials.
[Abstract]
- J. Hardwick and Q.F. Stout, ``Determining optimal few-stage allocation
procedures'', Computing Science and Statistics 27 (1995),
to appear.
Keywords: sequential allocation, selection, estimation, dynamic programming.
[Abstract |
Paper]
- J. Hardwick and Q.F. Stout, ``Optimal allocation for estimating the mean
of a bivariate polynomial'', Sequential Analysis 1996, to appear.
Keywords: nonlinear estimation, sequential design, robustness, myopic,
hyperopic, dynamic programming, adaptive allocation, product, Bayesian,
fault tolerance.
[Abstract |
Paper with color
diagrams |
Paper with black/white
diagrams]
- J. Hardwick and Q.F. Stout, ``Using forward induction to evaluate
sequential allocation procedures'', submitted.
Keywords: backward induction, adaptive allocation, staged allocation,
path counting, Bayesian, bandit problems, dynamic programming.
[Abstract |
Paper]
- J. Hardwick, C. Page and Q.F. Stout, ``Sequentially deciding between two
experiments for estimating a common success probability'', submitted.
Keywords: batch testing, risk assessment, infection rate,
grouped data, omniscient allocation.
[Abstract |
Paper]
- J. Hardwick and Q.F. Stout, ``Sequential allocation with minimal
switching'', Computing Science and Statistics 28 (1996),
to appear.
Keywords: adaptive sampling, switching costs, constraints,
bandit, estimation, dynamic programming, optimal tradeoffs.
[Abstract |
Paper]
- P. W. Jones, ``Multiobjective Bayesian bandits'',
in Bayesian Statistics IV, Bernardo, Berger, Dawid, Smith, eds.,
(1992), pp. 689-695.
- W. Noble, First Order Allocation,
Ph.D. Thesis, Michigan State Univ., 1990.
- C. Page, ``Adaptive allocation for
estimation '', in Adaptive Designs, N. Flournoy and W. F.
Rosenberger, eds., IMS Lecture Notes-Monograph Series 25 (1995),
pp. 213-222
- K. Rekab, ``Asymptotic efficiency in
sequential designs for estimation'', Sequential Analysis
8 (1989), pp. 269-280.
- K. Rekab, ``A nearly optimal 2-stage procedure'',
Comm. Statist., Theory Meth. 21 (1992), pp. 197-201.
- K. Rekab, ``A sampling scheme for estimating the
reliability of a series system'', IEEE Trans. Reliability
42 (1993), pp. 287-290.
- C. Page Shapiro, ``Allocation schemes
for estimating the product of positive parameters'',
J. Amer. Statist. Assoc. 80 (1985), pp. 449-454.
- M. Woodroofe and J. Hardwick,
``Sequential allocation for an estimation problem with ethical
cost'', Ann. Statist. 18 (1991), pp. 1358-1367.
Outline
Future Work