| Abstrakt: |
Andrey Kolmogorov put forward in 1933 the five fundamental axioms of classical probability theory. The original idea in my complex probability paradigm (CPP) is to add new imaginary dimensions to the experiment real dimensions which will make the work in the complex probability set totally predictable and with a probability permanently equal to one. Therefore, adding to the real set of probabilitiesthe contributions of the imaginary set of probabilitieswill make the event inabsolutely deterministic. It is of great importance that stochastic systems become totally predictable since we will be perfectly knowledgeable to foretell the outcome of all random events that occur in nature. Hence, my purpose is to link my CPP to unburied petrochemical pipelines’ analytic prognostic in the linear damage accumulation case. Consequently, by calculating the parameters of the novel prognostic model, we will be able to determine the magnitude of the chaotic factor, the degree of knowledge, the complex probability, the system failure and survival probabilities, and the remaining useful lifetime probability, after a pressure timethas been applied to the pipeline, and which are all functions of the system degradation subject to random effects. [ABSTRACT FROM AUTHOR] |
