Triangular approximations for continuous random variables in risk analysis

Journal of the Operational Research Society

Volumn 53, Issue 4, 2002, Pages 457-467

  Johnson, D ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Beta distribution; Estimation; Risk analysis; Triangular distribution

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; RISK ASSESSMENT;

BETA DISTRIBUTIONS; TRIANGULAR DISTRIBUTIONS;

DECISION MAKING;

EID: 0036531351     PISSN: 01605682     EISSN: 14769360     Source Type: Journal    
DOI: 10.1057/palgrave.jors.2601330     Document Type: Article

References (22)

1. Raiffa H (1968). Decision Analysis: Introductory Lectures on Choices Under Uncertainty. Addison-Wesley: Reading, MA.
2. Schläfer R (1969). Analysis of Decisions Under Uncertainty. McGraw-Hill: New York.
3. Spetzler CS and Stael von Holstein CAS (1975). Probability encoding in decision analysis. Mngt Sci 22: 340-358.
4. Holloway CA (1979). Decision Making Under Uncertainty: Models and Choices. Prentice-Hall: Englewood Cliffs, NJ.
5. Merkhofer MW (1987). Quantifying judgmental uncertainty: methodology, experiences and insights. IEEE Trans Syst Man Cybern 17: 741-752.
6. Malcolm DG, Roseboom JH, Clark CE and Fazar W (1959). Application of a technique for research and development program evaluation. Opns Res 5: 646-669.
7. Pearson ES and Tukey JW (1965). Approximate means and standard deviations based on distances between percentage points of frequency curves. Biometrika 52: 533-546.
8. Moder JJ and Rodgers EG (1968). Judgement estimates of the moments of PERT type distributions. Mngt Sci 15: B76-B83.
9. Megill RE (1977). An Introduction to Risk Analysis. Petroleum Publishing Company: Tulsa, UK.
10. Davidson LB and Cooper DO (1980). Implementing effective risk analysis at Getty Oil Company. Interfaces 10: 62-75.
11. Farnum NR and Stanton LW (1987). Some results concerning the estimation of beta distribution parameters in PERT. J Opl Res Soc 38: 287-290.
12. Golenko-Ginzburg D (1988). On the distribution of activity time in PERT. J Opl Res Soc 39: 767-771.
13. Perry C and Greig ID (1975). Estimating the mean and variance of subjective distributions in PERT and decision analysis. Mngt Sci 21: 1477-1480.
14. Keefer DL and Bodily SE (1983). Three-point estimates for continuous random variables. Mngt Sci 29: 595-609.
15. Keefer DL and Verdini WA (1993). Better estimation of PERT activity time parameters. Mngt Sci 39: 1086-1091.
16. Johnson NL (1949). Systems of frequency curves generated by methods of translation. Biometrika 36: 149-164.
17. Johnson DG (1998). The robustness of mean and variance approximations in risk analysis. J Opl Res Soc 49: 253-262.
18. Law AM and Kelton WD (1982). Simulation Modelling and Analysis, McGraw-Hill: New York.
19. Williams TM (1992). Practical use of distributions in risk analysis. J Opl Res Soc 43: 265-270.
20. Berny J (1989). A new distribution function for risk analysis. J Opl Res Soc 40: 1121-1127.
21. Golenko-Ginzburg D (1989). A new approach to the activity time distribution in PERT. J Opl Res Soc 40: 389-393.
22. Müller PH and Vahl H (1976). Pearson’s system of frequency curves whose left boundary and first three moments are known. Biometrika 63: 191-194.