COMPLEX PROBABILITY THEORY AND PROGNOSTIC | Science Publications

Journal of Mathematics and Statistics

Abdo Abou Jaoude¹ 

关键词: Degradation;    Prognostic;    Complex Probability;    Probability Distributions;    Lifetime;   

DOI  :  10.3844/jmssp.2014.1.24

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

The 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 to evaluate the complex probabilities by considering supplementary new imaginary dimensions to the event occurring in the “real” laboratory. Whatever the probability distribution of the input random variable in R is, the corresponding probability in the whole set C is always one, so the outcome of the random experiment in C can be predicted totally. The result indicates that chance and luck in R is replaced now by total determinism in C. This new complex probability model will be applied to the concepts of degradation and the Remaining Useful Lifetime (RUL), thus to the field of prognostic.

【 授权许可】

Unknown