Author

Abdo Abou Jaoude

Notre Dame University-Louaize, Lebanon

8 articles in our journals

Articles where this person is an author, newest first. People are matched by their name as printed (no ORCID iD is recorded for them), not by name alone; search the name as text to find namesakes too.

Research ArticleOpen accessThe Complex Probability Paradigm and Analytic Linear Prognostic for Vehicle Suspension SystemsAbdo Abou JaoudeThe Andrey N. Kolmogorov's system of axioms can be extended to encompass the imaginary set of numbers and this by adding to his original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C which is the sum of the real set R with its corresponding real probability and … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 1 · 22 Apr 2015 · 7,482 accessesView PDF Cite

Research ArticleOpen accessCOMPLEX PROBABILITY THEORY AND PROGNOSTICAbdo Abou JaoudeThe Kolmogorov’s system of axioms can be extended to encompass the imaginary set of numbers and this by adding to the original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C (Real set R with real probability + Imaginary set M with imaginary probability). The objective here is … …Journal of Mathematics and Statistics, Vol. 10, Issue 1 · 9 Dec 2013 · 7,589 accessesView PDF Cite

Research ArticleOpen accessTHE THEORY OF COMPLEX PROBABILITY AND THE FIRST ORDER RELIABILITY METHODAbdo Abou JaoudeThe Kolmogorov’s system of axioms can be extended to encompass the imaginary set of numbers and this by adding to the original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C (Real set R with real probability + Imaginary set M with imaginary probability). The objective here is … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 9 Oct 2013 · 6,910 accessesView PDF Cite

Research ArticleOpen accessTHE COMPLEX STATISTICS PARADIGM AND THE LAW OF LARGE NUMBERSAbdo Abou JaoudeThe five basic axioms of Kolmogorov define the probability in the real set R and do not take into consideration the imaginary part which takes place in the complex set C, a problem that we are facing in applied mathematics. Whatever the probability distribution of the random variable in R is, the corresponding probability in the whole set C equals … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 9 Oct 2013 · 8,205 accessesView PDF Cite

Research ArticleOpen accessTHE THEORY OF METARELATIVITY: BEYOND ALBERT EINSTEIN’S RELATIVITYAbdo Abou JaoudeThe theory of metarelativity is a system of equations written to take into consideration additional effects in the universe and about the matter inside it. The study begins with Albert Einstein’s theory of special relativity and it develops a system of equations which lead us to further explanations and to a new physics paradigm. Like special relativity which was created … …Physics International, Vol. 4, Issue 2 · 4 Sep 2013 · 7,743 accessesView PDF Cite

Research ArticleOpen accessStochastic Prognostic Paradigm for Petrochemical Pipelines Subject to FatigueAbdo Abou Jaoude, Khaled El-TawilThe most important aim for industrialists is the prevention and the evaluation of their products state since non-predicted failure is very expensive in some cases. This can be done mainly by the evaluation of the &#34Remaining Useful Lifetime&#34 (RUL) by the means of prognostic approaches compensating the inconveniences of classical maintenance strategies. A proposed analytic prognostic methodology based on damage … …American Journal of Engineering and Applied Sciences, Vol. 6, Issue 2 · 15 Apr 2013 · 7,561 accessesView PDF Cite

Research ArticleOpen accessAnalytic and Nonlinear Prognostic for Vehicle Suspension SystemsAbdo Abou Jaoude, Khaled El-TawilPredicting Remaining Useful Lifetime (RUL) of industrial systems becomes currently an important aim for industrialists knowing that the expensive failure can occur suddenly. As the classical strategies of maintenance are not efficient and practical because they neglect the evolving product state and environment, the recent prognostic approaches try to fill this gap. This approach shows to be important in ensuring … …American Journal of Engineering and Applied Sciences, Vol. 6, Issue 1 · 23 Feb 2013 · 7,526 accessesView PDF Cite

Research ArticleOpen accessPrediction in Complex Dimension Using Kolmogorov's Set of AxiomsAbdo Abou Jaoude, Khaled El-Tawil, Seifedine KadryProblem statement: The five basic axioms of Kolmogorov define the probability in the real set of numbers and do not take into consideration the imaginary part which takes place in the complex set of numbers, a problem that we are facing in many engineering systems. Approach: Evaluate the complex probabilities by considering supplementary new imaginary dimensions to the event occurring … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 8,523 accessesView PDF Cite