Results 61 to 70 of about 3,135,129 (143)
Quantum mechanics as a theory of probability [PDF]
We develop and defend the thesis that the Hilbert space formalism of quantum mechanics is a new theory of probability. The theory, like its classical counterpart, consists of an algebra of events, and the probability measures defined on it.
Pitowsky, Itamar
core +4 more sources
A non-crossing word cooperad for free homotopy probability theory [PDF]
We construct a cooperad which extends the framework of homotopy probability theory to free probability theory. The cooperad constructed, which seems related to the sequence and cactus operads, may be of independent interest.
arxiv
Non-Archimedean Probability [PDF]
We propose an alternative approach to probability theory closely related to the framework of numerosity theory: non-Archimedean probability (NAP). In our approach, unlike in classical probability theory, all subsets of an infinite sample space are measurable and zero- and unit-probability events pose no particular epistemological problems. We use a non-
arxiv +1 more source
Surprisingly Rational: Probability theory plus noise explains biases in judgment
The systematic biases seen in people's probability judgments are typically taken as evidence that people do not reason about probability using the rules of probability theory, but instead use heuristics which sometimes yield reasonable judgments and ...
Costello, Fintan, Watts, Paul
core +1 more source
Domain of attraction of Gaussian probability operators in quantum limit theory [PDF]
We characterise the class of probability operators belonging to the domain of attraction of Gaussian limits in the setup which is a slight generalisation of Urbanik's scheme of noncommutative probability limit theorems.
arxiv
Branching Random Walks in a Random Killing Environment with a Single Reproduction Source
We consider a continuous-time branching random walk on Z in a random non-homogeneous environment. The process starts with a single particle at initial time t=0.
Vladimir Kutsenko+2 more
doaj +1 more source
Comment on "Harold Jeffreys's Theory of Probability Revisited"
Comment on "Harold Jeffreys's Theory of Probability Revisited" [arXiv:0804.3173]Comment: Published in at http://dx.doi.org/10.1214/09-STS284E the Statistical Science (http://www.imstat.org/sts/) by the Institute of Mathematical Statistics (http://www.
Bernardo, José M.
core +1 more source
Some Identities for the Quantum Measure and its Generalizations
After a brief review of classical probability theory (measure theory), we present an observation (due to Sorkin) concerning an aspect of probability in quantum mechanics. Following Sorkin, we introduce a generalized measure theory based on a hierarchy of
Salgado, Roberto B.
core +1 more source
Analogue of the quantum total probability rule from Paraconsistent bayesian probability theory [PDF]
We derive an analogue of the quantum total probability rule by constructing a probability theory based on paraconsistent logic. Bayesian probability theory is constructed upon classical logic and a desiderata, that is, a set of desired properties that the theory must obey.
arxiv
Session-Level Reliability Analysis for Multi-Service Communication in Autonomous Vehicular Fleets
The support for reliable communication in the increasingly large fleets of autonomous vehicles is one of the important challenges for emerging 5G systems.
Vitaly Petrov+4 more
doaj +1 more source