منابع مشابه
Min-Plus Probability Calculus
We study here the duality appearing between probability calculus and optimization by substituting the semifield (R∪{+∞},min,+) for the standard semiring (R+,+,×).
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We consider a conception of reality that is the following: An object is ‘real’ if we know that if we would try to test whether this object is present, this test would give us the answer ‘yes’ with certainty. The knowledge about this certainty we gather from our overall experience with the world. If we consider a conception of reality where probability plays a fundamental role, which we should d...
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Ideas from probability can be very useful to understand and motivate fractional calculus models for anomalous diffusion. Fractional derivatives in space are related to long particle jumps. Fractional time derivatives code particle sticking and trapping. This probabilistic point of view also leads to some interesting extensions, including vector fractional derivatives, and tempered fractional de...
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We translate in semigroup theory Bismut’s way of the Malliavin calculus.
متن کاملA Surprise-Based Qualitative Probability Calculus II
This paper is a continuation of the study of surprise as a base for constructing qualitative calculi for representing and reasoning about uncertain knowledge. Here, we further elaborate on κ, a qualitative ranking function which we developed in (Ibrahim, Tawfik, and Ngom 2009b) and which constructs qualitative ranks for events by obtaining the order of magnitude abstraction of the degree of sur...
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ژورنال
عنوان ژورنال: Journal of the Institute of Actuaries
سال: 1923
ISSN: 0020-2681,2058-1009
DOI: 10.1017/s0020268100030237