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Preface | xiii | |
1. | Introduction | |
Handling Uncertainty in Capital Investments | 4 | |
Industry Practice Over the Years | 6 | |
Classification of Decision Situations | 7 | |
Terminology Used in Decision Analysis | 8 | |
The Decision Analysis Cycle | 11 | |
Advantages of Decision Analysis | 16 | |
Misconceptions Regarding Decision Analysis | 17 | |
Applications of Decision Analysis | 19 | |
Typical Industry Risks | 20 | |
Questions and Problems | 24 | |
2. | Statistics and Probability Concepts | |
Descriptive Statistics | 28 | |
Measures of Central Tendency | 30 | |
Mean, Median, and Mode | 31 | |
Geometric, Harmonic, and Quadratic Mean | 35 | |
Weighted Average | 39 | |
Choice of a Suitable Average | 42 | |
Measures of Variability | 44 | |
Range, Variance, and Standard Deviation | 45 | |
Mean Absolute Deviation | 46 | |
Coefficient of Variation | 47 | |
Descriptive Statistics from Grouped Data | 50 | |
Mean, Median, and Mode | 52 | |
Geometric and Harmonic Mean | 53 | |
Variance and Standard Deviation | 53 | |
Graphical Presentation of Data | 56 | |
Other Measures | 62 | |
Quartiles | 62 | |
Dociles and Percentiles | 64 | |
Coefficient of Peakedness and Skewness | 66 | |
Spreadsheet Application | 66 | |
Understanding Probability Concepts | 70 | |
Objective Probability | 72 | |
Classical Approach | 72 | |
Empirical Approach | 75 | |
Subjective Probability | 77 | |
Modern Approach | 77 | |
Operations on Event Sets | 81 | |
Characteristics of Events | 82 | |
Rules of Probability | 84 | |
Complementation Rule | 85 | |
Addition Rule | 85 | |
Multiplication Rule | 87 | |
Probability Table and Probability Tree | 92 | |
Baye's Rule | 94 | |
Theoretical Probability Distributions | 99 | |
Discrete Probability Distributions | 101 | |
Binomial Probability Distribution | 101 | |
Multinomial Probability Distribution | 105 | |
Hypergeometric Probability Distribution | 107 | |
Poisson Probability Distribution | 110 | |
Continuous Probability Distributions | 113 | |
Normal Probability Distribution | 114 | |
Lognormal Probability Distribution | 122 | |
Uniform Probability Distribution | 126 | |
Triangular Probability Distribution | 128 | |
Spreadsheet Application | 132 | |
Excel Built-in Functions | 132 | |
Introducing BestFit | 138 | |
BestFit Add-in | 139 | |
Questions and Problems | 142 | |
3. | Expected Value and Decision Trees | |
Expected Value Concepts | 153 | |
Expected Value of Random Variable | 154 | |
Standard Deviation of Random Variable | 155 | |
Expected Monetary Value (EMV) | 157 | |
Sensitivity Analysis | 163 | |
Expected Profitability Index (EPI) | 166 | |
Performance Index | 172 | |
Expected Opportunity Loss (EOL) | 172 | |
Mean-Variance and Stochastic Dominance | 174 | |
Meaning and Interpretation of Expected Value | 181 | |
Characteristics of Expected Value | 185 | |
Value of Information | 186 | |
Expected Value of Perfect Information (EVPI) | 187 | |
Expected Value of Imperfect Information (EVII) | 190 | |
Decision Trees | 197 | |
Decision Tree Convention | 198 | |
Guidelines for Designing Trees | 200 | |
Solving a Decision Tree | 201 | |
Constructing Risk Profiles | 207 | |
Advantages of Decision Trees | 208 | |
Spreadsheet Applications | 209 | |
Excel Built-in Functions | 209 | |
Introducing Precision Tree | 210 | |
PrecisionTree Add-in | 212 | |
Constructing the Tree | 213 | |
Risk Profile | 219 | |
Sensitivity Analysis | 220 | |
Questions and Problems | 227 | |
4. | Incorporating Attitudes Toward Risk | |
The Expected Utility Theory | 237 | |
Typical Attitudes toward Risk | 237 | |
The Axioms of Utility | 241 | |
Risk Tolerance | 244 | |
Certainty Equivalent and Risk Premium | 246 | |
Assessing the Utility Function | 250 | |
Mathematical Representation of Utility Functions | 255 | |
Approximation to Certainty Equivalent | 262 | |
Risk Aversion | 263 | |
Expected Utility Decision Criteria | 268 | |
Spreadsheet Applications | 269 | |
Fitting the Utility Curve | 269 | |
Finding the Certainty Equivalent | 273 | |
Critical Risk Tolerance | 274 | |
PrecisionTree and Utility Functions | 276 | |
Questions and Problems | 280 | |
5. | Determining Venture Participation | |
Gambler's Ruin | 287 | |
Working Interest and RAV | 289 | |
Based on Exponential Risk Aversion | 289 | |
Optimum Working Interest | 290 | |
Apparent Risk Tolerance | 290 | |
Breakeven Working Interest | 291 | |
Based on Hyperbolic Risk Aversion | 293 | |
Parabolic Approximation to Cozzolino's RAV | 298 | |
Modified Risk-Adjusted Value | 300 | |
Portfolio Balancing and RAV | 303 | |
Portfolio Balancing--Cozzolino RAV Formula | 304 | |
Portfolio Balancing--Parabolic RAV Formula | 305 | |
Spreadsheet Applications | 307 | |
6. | Simulation in Decision Analysis | |
Designing the Simulation Model | 314 | |
Real Applications of Simulation | 315 | |
Steps in Simulation Modeling | 316 | |
Random Sampling Methods | 322 | |
Random Numbers | 322 | |
Monte Carlo Sampling | 324 | |
Latin Hypercube Sampling | 326 | |
Behind-The-Scene Calculations | 328 | |
Recognizing Dependence on Input Variables | 333 | |
Simulating Total Dependence | 338 | |
Simulating Diffuse Dependence | 339 | |
Spreadsheet Applications | 347 | |
Using Excel for Simulation | 348 | |
Generating Random Numbers in Excel | 348 | |
Probability Distributions in Excel | 349 | |
Introducing @RISK | 352 | |
Loading @RISK | 354 | |
Developing the Simulation Model | 355 | |
Running the Simulation | 359 | |
Analyzing the Output | 361 | |
Handling Dependency on @RISK | 370 | |
Combining Precision Tree and @RISK | 373 | |
Afterword | 379 | |
Appendix A | Probability Tables | 383 |
Appendix B | Contents of the Accompanying CD-ROM | 395 |
Index | 399 |
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