Andrey Nikolaevich Kolmogorov put forward in 1933 the five
fundamental axioms of classical probability theory. The original idea in my
complex probability paradigm 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 probabilities R the contributions of the
imaginary set of probabilities M will make the event in C = R + M absolutely
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 complex
probability paradigm to unburied petrochemical pipelines analytic prognostic in
the nonlinear 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 that a pressure time t has been applied to
the pipeline and which are all functions of the system degradation subject to
random effects. Furthermore, we will apply the new paradigm to my novel
‘Dynamic Logic’ model.
Author(s) Details:
Abdo Abou Jaoudé,
Department of Mathematics and Statistics, Faculty of Natural and
Applied Sciences, Notre Dame University-Louaize, Lebanon.
Please see the link here: https://stm.bookpi.org/TPCPPDL/article/view/13774
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