Radically Elementary Probability Theory
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A01=Edward Nelson
Abraham Robinson
Absolute value
Algebra of random variables
Almost surely
Author_Edward Nelson
Axiom
Axiomatic system
Bounded function
Cantor's diagonal argument
Cartesian product
Category=PBT
Central limit theorem
Chebyshev's inequality
Convergence of random variables
Correlation coefficient
Counterexample
Dimension
Dimension (vector space)
Division by zero
Elementary function
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Estimation
Existential quantification
Family of sets
Finite set
Idealization
Independence (probability theory)
Indicator function
Infinitesimal
Internal set theory
Joint probability distribution
Law of large numbers
Linear function
Martingale (probability theory)
Mathematical induction
Mathematics
Measure (mathematics)
N0
Natural number
Non-standard analysis
Norm (mathematics)
Orthogonal complement
Path space
Predictable process
Probability
Probability distribution
Probability measure
Probability space
Probability theory
Product topology
Projection (linear algebra)
Random variable
Real number
Scientific notation
Sequence
Set (mathematics)
Significant figures
Special case
Standard deviation
Statistical mechanics
Stochastic process
Subalgebra
Subset
Summation
Theorem
Total variation
Transfer principle
Transfinite number
Variable (mathematics)
Vector space
W0
Wiener process
Without loss of generality
Product details
- ISBN 9780691084749
- Weight: 142g
- Dimensions: 152 x 235mm
- Publication Date: 21 Sep 1987
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
