Loeb, Peter A. An introduction to nonstandard analysis and hyperfinite probability theory. (English) Zbl 0441.03027 Probabilistic analysis and related topics, Vol. 2, 105-142 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 8 Documents MSC: 03H05 Nonstandard models in mathematics 60H05 Stochastic integrals 60J25 Continuous-time Markov processes on general state spaces 28A25 Integration with respect to measures and other set functions 28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets 28A12 Contents, measures, outer measures, capacities 60J65 Brownian motion 60A05 Axioms; other general questions in probability 60A10 Probabilistic measure theory 03H10 Other applications of nonstandard models (economics, physics, etc.) 60G05 Foundations of stochastic processes 60A99 Foundations of probability theory 03-02 Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations 60-02 Research exposition (monographs, survey articles) pertaining to probability theory 28-02 Research exposition (monographs, survey articles) pertaining to measure and integration Keywords:nonstandard analysis; hyperfinite probability theory; measurable spaces; measure spaces; coin tossing; Poisson process; Ito integral Citations:Zbl 0435.00012; Zbl 0353.60052 PDFBibTeX XML