Sequential controlled sensing for composite multihypothesis testing

REFERENCES

• Albert, A. 1961. “The Sequential Design of Experiments for Infinitely Many States of Nature.” The Annals of Mathematical Statistics 32 (3):774–99. doi:10.1214/aoms/1177704973
   Google Scholar
• Ausubel, L., and R. Deneckere. 1993. “A Generalized Theorem of the Maximum.” Economic Theory 3 (1):99–107. doi:10.1007/BF01213694
   Google Scholar
• Berner, E. 2007. Clinical Decision Support Systems: Theory and Practice. New York: Springer Science + Business Media.
   Google Scholar
• Bessler, S. 1960. “Theory and Applications of the Sequential Design of Experiments, k-actions and Infinitely Many Experiments, Technical Report” SOL ONR 55, Applied Mathematics and Statistics Laboratories, Stanford University.
   Google Scholar
• Blot, W., and D. Meeter. 1973. “Sequential Experimental Design Procedures.” Journal of the American Statistical Association 68 (343):586–93. doi:10.1080/01621459.1973.10481388
   Web of Science ®Google Scholar
• Box, G. E. P., and W. J. Hill. 1967. “Discrimination among Mechanistic Models.” Technometrics 9 (1):57–71. doi:10.1080/00401706.1967.10490441
   Web of Science ®Google Scholar
• Chatzigeorgiou, I. 2013. “Bounds on the Lambert Function and Their Application to the Outage Analysis of User Cooperation.” IEEE Communications Letters 17 (8):1505–8. doi:10.1109/LCOMM.2013.070113.130972
   Web of Science ®Google Scholar
• Chernoff, H. 1959. “Sequential Design of Experiments.” The Annals of Mathematical Statistics 30 (3):755–70. doi:10.1214/aoms/1177706205
   Google Scholar
• Cohen, K., and Q. Zhao. 2015. “Active Hypothesis Testing for Anomaly Detection.” IEEE Transactions on Information Theory 61:1432–50. doi:10.1109/TIT.2014.2387857
   Web of Science ®Google Scholar
• Garivier, A., and E. Kaufmann. 2016. “Optimal Best Arm Identification with Fixed Confidence.” In Proceedings of Conference on Learning Theory, 49: 998–1027, New York, USA.
   Google Scholar
• Gorry, G. 1973. “Computer-Assisted Clinical Decision-Making.” Methods of Information in Medicine 12 (1):45–51.
   PubMed Web of Science ®Google Scholar
• Horvitz, E., J. Breese, and M. Henrion. 1988. “Decision Theory in Expert Systems and Artificial Intelligence.” International Journal of Approximate Reasoning 2 (3):247–302. doi:10.1016/0888-613X(88)90120-X
   Google Scholar
• Kaufmann, E., O. Cappé, and A. Garivier. 2016. “On the Complexity of Best-Arm Identification in Multi-Armed Bandit Models.” Journal of Machine Learning Research 17:1–42.
   Web of Science ®Google Scholar
• Keener, R. 1984. “Second Order Efficiency in the Sequential Design of Experiments.” Annals of Statistics 12:510–32.
   Web of Science ®Google Scholar
• Kiefer, J., and J. Sacks. 1963. “Asymptotically Optimum Sequential Inference and Design.” The Annals of Mathematical Statistics 34 (3):705–50. doi:10.1214/aoms/1177704000
   Google Scholar
• Lalley, S. P., and G. Lorden. 1986. “A Control Problem Arising in the Sequential Design of Experiments.” Annals of Probability 14:136–72.
   Web of Science ®Google Scholar
• Ledley, R., and L. Lusted. 1959. “Reasoning Foundations of Medical Diagnosis; Symbolic Logic, Probability, and Value Theory Aid Our Understanding of How Physicians Reason.” Science (New York, N.Y.) 130 (3366):9–21. doi:10.1126/science.130.3366.9
   PubMed Web of Science ®Google Scholar
• Li, Y., S. Nitinawarat, and V. Veeravalli. 2017. “Universal Sequential Outlier Hypothesis Testing.” Sequential Analysis 36 (3):309–44. doi:10.1080/07474946.2017.1360086
   Web of Science ®Google Scholar
• Magureanu, S., R. Combes, and A. Proutiere. 2014. “Lipschitz Bandits: Regret Lower Bound and Optimal Algorithms.” In Proceedings of Conference on Learning Theory, 35: 975–999, Barcelona, Spain.
   Google Scholar
• Miller, R. 1994. “Medical Diagnostic Decision Support Systems-Past, Present, and Future: A Threaded Bibliography and Brief Commentary.” Journal of the American Medical Informatics Association : JAMIA 1 (1):8–27. doi:10.1136/jamia.1994.95236141
   PubMed Web of Science ®Google Scholar
• Moulin, P., and V. Veeravalli. 2018. Statistical Inference for Engineers and Data Scientists, Cambridge: Cambridge University Press.
   Google Scholar
• Naghshvar, M., and T. Javidi. 2013. “Active Sequential Hypothesis Testing.” Annals of Statistics 41:2703–38.
   Web of Science ®Google Scholar
• Nitinawarat, S., G. Atia, and, V. Veeravalli. 2013. “Controlled Sensing for Multihypothesis Testing.” IEEE Transactions on Automatic Control 58 (10):2451–64. doi:10.1109/TAC.2013.2261188
   Web of Science ®Google Scholar
• Prabhu, G., S. Bhashyam, A. Gopalan, and R. Sundaresan. 2017. “Learning to Detect an Oddball Target with Observations from an Exponential Family.” arXiv: 1712.03682.
   Google Scholar
• Vaidhiyan, N., and, R. Sundaresan. 2018. “Learning to Detect an Oddball Target.” IEEE Transactions on Information Theory 64 (2):831–52. doi:10.1109/TIT.2017.2778264
   Web of Science ®Google Scholar
• Warner, H., A. Toronto, L. Veasey, and R. Stephenson. 1961. “A Mathematical Approach to Medical diagnosis. Application to congenital heart disease.” Jama 177:177–83. doi:10.1001/jama.1961.03040290005002
   PubMed Web of Science ®Google Scholar