Stochastics and Computational Techniques. Exact Variability Propagation, Liberated Distributions, Total Models, GUI-Based Tools - Jean Parks;Mohammad Noori

This book presents our breakthrough mathematical and computational techniques, along with the user-friendly (and “open-source”) GUI-driven software suites incorporating those, that totally revolutionize Stochastics. Superseding all existing techniques, it is like automobiles to horses and buggies.

A Fundamental Breakthrough is being able to compute the output distribution, thus also the probability of failure, for “any” model and set of input distributions. One striking implication: It liberates probability distributions (our software easily handles these) from its current types to an infinitude of “no-types,” making current Applied Probability obsolete. Including other advancements – e.g., our novel modeling technique, new basics of stochastic optimization, major clarification for statisticians – these coherently revolutionize Stochastics.

The book combines mathematical rigor with reader-friendliness. It will enable most researchers & practitioners to work & think stochastically with ease.