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Account for uncertainties and optimize decision-making with this thorough exposition
Decision theory is a body of thought and research seeking to apply a mathematical-logical framework to assessing probability and optimizing decision-making. It has developed robust tools for addressing all major challenges to decision making. Yet the number of variables and uncertainties affecting each decision outcome, many of them beyond the decider's control, mean that decision-making is far from a 'solved problem'. The tools created by decision theory remain to be refined and applied to decisions in which uncertainties are prominent.
Probabilistic Forecasts and Optimal Decisions introduces a theoretically-grounded methodology for optimizing decision-making under conditions of uncertainty. Beginning with an overview of the basic elements of probability theory and methods for modeling continuous variates, it proceeds to survey the mathematics of both continuous and discrete models, supporting each with key examples. The result is a crucial window into the complex but enormously rewarding world of decision theory.
Readers of Probablistic Forecasts and Optimal Decisions will also find:
Probabilistic Forecasts and Optimal Decisions is ideal for advanced undergraduate and graduate students in the sciences and engineering, as well as predictive analytics and decision analytics professionals.
Roman Krzysztofowicz, PhD, is Professor of Systems Engineering in the School of Engineering and Applied Science and Professor of Statistics in the College and Graduate School of Arts and Sciences at the University of Virginia, Charlottesville, USA. He has previously held faculty posts at the University of Arizona and MIT, and his Bayesian Forecast-Decision Theory supplies a unified framework for the design and analysis of probabilistic forecast systems coupled with optimal decision systems.
Preface xxi
About the Companion Website xxiii
1 Forecast-Decision Theory 1
Part I Elements of Probability 9
2 Basic Elements 11
3 Distribution Modeling 37
Part II Discrete Models 73
4 Judgmental Forecasting 75
5 Statistical Forecasting 109
6 Verification of Forecasts 143
7 Detection-Decision Theory 179
8 Various Discrete Models 209
Part III Continuous Models 237
9 Judgmental Forecasting 239
10 Statistical Forecasting 273
11 Verification of Forecasts 315
12 Target-Decision Theory 353
13 Inventory and Capacity Models 387
14 Investment Models 413
15 Various Continuous Models 457
A Rationality Postulates 479
B Parameter Estimation Methods 489
C Special Univariate Distributions 493
The Greek Alphabet 527
References 529
Index 535
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