Mathematics – Probability
Scientific paper
2009-01-07
Mathematics
Probability
41 pages, 2 figures
Scientific paper
Classical probability theory supports probability measures, assigning a fixed positive real value to each event, these measures are far from satisfactory in formulating real-life occurrences. The main innovation of this paper is the introduction of a new probability measure, enabling varying probabilities that are recorded by ring elements to be assigned to events; this measure still provides a Bayesian model, resembling the classical probability model. By introducing two principles for the possible variation of a probability (also known as uncertainty, ambiguity, or imprecise probability), together with the "correct" algebraic structure allowing the framing of these principles, we present the foundations for the theory of phantom probability, generalizing classical probability theory in a natural way. This generalization preserves many of the well-known properties, as well as familiar distribution functions, of classical probability theory: moments, covariance, moment generating functions, the law of large numbers, and the central limit theorem are just a few of the instances demonstrating the concept of phantom probability theory.
Izhakian Yehuda
Izhakian Zur
No associations
LandOfFree
Phantom Probability does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Phantom Probability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phantom Probability will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-720566