A Simulation-Based Approach to Decision Making with Partial Information

References

• Abbas AE. Entropy methods for joint distributions in decision analysis. IEEE Trans. Engrg. Management (2006) 53(1):146–159Crossref, Google Scholar
• Apostolakis G, Kaplan S. Pitfalls in risk calculations. Reliability Engrg. (1981) 2(2):135–145Crossref, Google Scholar
• Ben-Tal A, Ghaoui LE, Nemirovski A. Robust Optimization (2009) (Princeton University Press, Princeton, NJ) Crossref, Google Scholar
• Bickel JE, Smith JE. Optimal sequential exploration: A binary learning model. Decision Anal. (2006) 3(1):16–32Link, Google Scholar
• Bickel JE, Lake LW, Lehman J. Discretization, simulation, and Swanson's (inaccurate) mean. SPE Econom. Management (2011) 3(3):128–140Google Scholar
• Bickel JE, Smith JE, Meyer JL. Modeling dependence among geologic risks in sequential exploration decisions. Reservoir Eval. Engrg. (2008) 3(4):233–251Google Scholar
• Chessa AG, Dekker R, Van Vliet B, Steyerberg EW, Habbema JDF. Correlations in uncertainty analysis for medical decision making: An application to heart-valve replacement. Medical Decision Making (1999) 19(3):276–286Crossref, Google Scholar
• Clemen RT. Making Hard Decisions. An Introduction to Decision Analysis (1996) 2nd ed.(Duxbury Press, Belmont, CA) Google Scholar
• Clemen RT, Reilly T. Correlations and copulas for decision and risk analysis. Management Sci. (1999) 45(2):208–224Link, Google Scholar
• Cooke RM, Waij R. Monte Carlo sampling for generalized knowledge dependence with application to human reliability. Risk Anal. (1986) 6(3):335–343Crossref, Google Scholar
• Frees EW, Carriere J, Valdez EA. Annuity valuation with dependent mortality. J. Risk Insurance (1996) 63(2):229–261Crossref, Google Scholar
• Ireland CT, Kullback S. Contingency tables with given marginals. Biometrika (1968) 55(1):179–188Crossref, Google Scholar
• Jaynes ET. Information theory and statistical mechanics. Physical Rev. (1957) 106(4):620–630Crossref, Google Scholar
• Jaynes ET. Prior probabilities. IEEE Trans. Systems Sci. Cybernetics (1968) 4(3):227–241Crossref, Google Scholar
• Jimenez L, Landgrebe D. Supervised classification in high dimensional space: Geometrical, statistical and asymptotical properties of multivariate data. IEEE Trans. Systems, Man, Cybernetics (1998) 28(1):39–54Crossref, Google Scholar
• Jouini MN, Clemen RT. Copula models for aggregating expert opinions. Oper. Res. (1996) 44(3):444–457Link, Google Scholar
• Keefer DL, Bodily SE. Three-point approximations for continuous random variables. Management Sci. (1983) 29(5):595–609Link, Google Scholar
• Korsan RJ, Oliver RM, Smith JQ. Towards better assessment and sensitivity procedures. Influence Diagrams, Belief Nets and Decision Analysis (1990) (John Wiley & Sons, New York) 427–454Google Scholar
• Lowell DG. Sensitivity to relevance in decision analysis. (1994) . Ph.D. thesis, Engineering and Economic Systems, Stanford University, Stanford, CAGoogle Scholar
• MacKenzie GR. Approximately maximum entropy multivariate distributions with specified marginals and pairwise correlations. (1994) . Ph.D. thesis, Department of Decision Sciences, University of Oregon, EugeneGoogle Scholar
• Miller AC, Oliver RM, Smith JQ. Towards better assessment and sensitivity procedures by R. J. Korsan: Discussion by Allen C. Miller. Influence Diagrams, Belief Nets and Decision Analysis (1990) (John Wiley & Sons, New York) 442–443Google Scholar
• Montiel LV. Approximations, simulation, and accuracy of multivariate discrete probability distributions in decision analysis. (2012) . Ph.D. thesis, University of Texas at Austin, AustinGoogle Scholar
• Montiel LV, Bickel JE. Generating a random collection of discrete joint probability distributions subject to partial information. Methodology Comput. Appl. Probab. (2012) . ePub ahead of print May 22, http://www.springerlink.com/content/263823150021hl36/Google Scholar
• Nelsen RB, Dall'Aglio G, Kotz S, Salinetti G. Copulas and association. Advances in Probability Distributions with Given Marginals (1991) (Kluwer Academic, Dordrecht, The Netherlands) 51–74Crossref, Google Scholar
• Nelsen RB. An Introduction to Copulas (2005) 2nd ed.(Springer, Portland, OR) Google Scholar
• Nešlehová J. On rank correlation measures for non-continuous random variables. J. Multivariate Anal. (2007) 98(3):544–567Crossref, Google Scholar
• Pearson ES, Tukey JW. Approximate means and standard deviations based on distances between percentage points of frequency curves. Biometrika (1965) 52(3/4):553–546Crossref, Google Scholar
• Presidential Commission on the Space Shuttle Challenger Accident Report of the Presidential Commission on the Space Shuttle Challenger Accident. (1986) . Presidential Commission on the Space Shuttle Challenger Accident, Washington, DCGoogle Scholar
• Reilly T. Sensitivity analysis for dependent variables. Decision Sci. (2000) 31(3):551–572Crossref, Google Scholar
• Sklar A. Fonctions de répartition à n dimensions et leurs marges. Publ. Inst. Statist. Univ. Paris (1959) 8:229–231Google Scholar
• Smith JE. Moment methods for decision analysis. Management Sci. (1993) 39(3):340–358Link, Google Scholar
• Smith RL. Efficient Monte Carlo procedures for generating points uniformly distributed over bounded regions. Oper. Res. (1984) 32(6):1296–1308Link, Google Scholar
• Smith RL, Ryan PB, Evans JS. The effect of neglecting correlations when propagating uncertainty and estimating the population distribution of risk. Risk Anal. (1992) 12(4):467–474Crossref, Google Scholar
• Wang T, Dyer JS. A copulas-based approach to modeling dependence in decision trees. Oper. Res. (2012) 60(1):225–242Link, Google Scholar
• Winkler RL. Research directions in decision making under uncertainty. Decision Sci. (1982) 13(4):517–533Crossref, Google Scholar