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    Radically Elementary Probability Theory. (AM-117), Volume 117

    Radically Elementary Probability Theory. (AM-117), Volume 117

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    Bog E-bog
    • Format
    • Bog, paperback
    • Engelsk

    Beskrivelse

    Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form.

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  • Vægt142 g
    • coffee cup img
    10 cm
    book img
    15,2 cm
    23,5 cm

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    Mathematics Central limit theorem Statistical mechanics Law of large numbers Dimension Probability Absolute value Séquence Total variation Stochastic process Real number Probability theory Mathematical induction Probability distribution Probability measure Wiener process Path space Convergence of random variables Theorem Random variable Infinitesimal Internal Set Theory Correlation coefficient Idealization Vector space Standard deviation Axiom Estimation Non-standard analysis Probability space Abraham Robinson Algebra of random variables Almost surely Axiomatic system Bounded function Cantor's diagonal argument Counterexample Dimension (vector space) Cartesian product Chebyshev's inequality Family of sets Finite set Division by zero Existential quantification Elementary function Joint probability distribution Indicator function Martingale (probability theory) Linear function Norm (mathematics) Natural Number Orthogonal complement Product topology Independence (probability theory) Set (mathematics) summation Transfinite number Variable (mathematics) Measure (mathematics) W0 N0 Projection (linear algebra) Subalgebra Predictable Process Subset Scientific notation Significant Figures Special case Transfer principle Without loss of generality

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