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Probability logics
The problems of representing, and working with, uncertain knowledge are ancient problems
dating, at least, from Leibnitz, and later explored by a number of distinguished scholars …
dating, at least, from Leibnitz, and later explored by a number of distinguished scholars …
The paradigm of complex probability and Isaac Newton's Classical mechanics: On the foundation of statistical physics
A Abou Jaoudé - The Monte Carlo Methods, 2021 - books.google.com
The concept of mathematical probability was established in 1933 by Andrey Nikolaevich
Kolmogorov by defining a system of five axioms. This system can be enhanced to …
Kolmogorov by defining a system of five axioms. This system can be enhanced to …
The paradigm of complex probability and Claude Shannon's information theory
A Abou Jaoude - Systems Science & Control Engineering, 2017 - Taylor & Francis
Andrey 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 …
theory. The original idea in my complex probability paradigm is to add new imaginary …
The paradigm of complex probability and Chebyshev's inequality
A Abou Jaoude - Systems Science & Control Engineering, 2016 - Taylor & Francis
The system of axioms for probability theory laid in 1933 by Andrey Nikolaevich Kolmogorov
can be extended to encompass the imaginary set of numbers and this by adding to his …
can be extended to encompass the imaginary set of numbers and this by adding to his …
Analytic prognostic in the linear damage case applied to buried petrochemical pipelines and the complex probability paradigm
A Abou Jaoude - Fault Detection, Diagnosis and Prognosis …, 2020 - books.google.com
In 1933, Andrey Nikolaevich Kolmogorov established the system of five axioms that define
the concept of mathematical probability. This system can be developed to include the set of …
the concept of mathematical probability. This system can be developed to include the set of …
The paradigm of complex probability and analytic linear prognostic for unburied petrochemical pipelines
A Abou Jaoude - Systems Science & Control Engineering, 2017 - Taylor & Francis
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 …
theory. The original idea in my complex probability paradigm (CPP) is to add new imaginary …
The paradigm of complex probability and Ludwig Boltzmann's entropy
A Abou Jaoude - Systems Science & Control Engineering, 2018 - Taylor & Francis
ABSTRACT The Andrey Nikolaevich Kolmogorov's classical system of probability axioms
can be extended to encompass the imaginary set of numbers and this by adding to his …
can be extended to encompass the imaginary set of numbers and this by adding to his …
The paradigm of complex probability and Monte Carlo methods
A Abou Jaoude - Systems Science & Control Engineering, 2019 - Taylor & Francis
In 1933, Andrey Nikolaevich Kolmogorov established the system of five axioms that define
the concept of mathematical probability. This system can be developed to include the set of …
the concept of mathematical probability. This system can be developed to include the set of …
The paradigm of complex probability and analytic nonlinear prognostic for vehicle suspension systems
A Abou Jaoude - Systems Science & Control Engineering, 2016 - Taylor & Francis
Adding three novel axioms to Kolmogorov's five established probability axioms which were
laid in 1933 extends classical probability theory to encompass the imaginary set of numbers …
laid in 1933 extends classical probability theory to encompass the imaginary set of numbers …
An epistemic probabilistic logic with conditional probabilities
We present a proof-theoretical and model-theoretical approach to reasoning about
knowledge and conditional probability. We extend both the language of epistemic logic and …
knowledge and conditional probability. We extend both the language of epistemic logic and …