A Fundamental Breakthrough:
HPD can compute "Exact" Output Distributions!! (Far supersedes Monte Carlo!!)
This enables:
- Multi-Level Variability Propagation (with Important Implications on attacking problems!)
This is in concert with our Breakthrough Methodology on Stochastic "Modeling" (see HPD )
- Uncovering Existing Misperceptions (e.g., of what are adequate for fitting distributions)
- Breakthrough Thinking (e.g.: easy Transcendence from Deterministics to Stochastics; FLOWs of: Variabilities (FoV), Distributions, Stochastic Models, Cpks; . . .)
HPD's Other Breakthrough/Fundamental Advancements Far Supersede Existing Techniques for:
- Sensitivity/Contribution Analysis (existing ones have gross omissions & errors!!)
- Stochastic Optimization for Design Engineering needs (re. existing ones: Taguchi Methods has severe limitations and a fundamental fallacy**; others are by What-If iterations)
- Stochastic Optimization for Operations Research needs (existing area is in nascent stage)
- Structuring a (complex) Stochastic Problem with the associated "Modeling" (see HPD)! (currently non-existent)
**Parks, JM., 2001,"On stochastic optimization: Taguchi MethodsTM demystified; its limitations and fallacy clarified," Probabilistic Engineering Mechanics,16(1),
pp. 87-101.
pp. 87-101.