Book
Licensed
Unlicensed
Requires Authentication
Radically Elementary Probability Theory. (AM-117), Volume 117
-
Edward Nelson
Language:
English
Published/Copyright:
1988
About this book
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.
Topics
|
Publicly Available Download PDF |
i |
|
Publicly Available Download PDF |
v |
|
Requires Authentication Unlicensed Licensed |
vii |
|
Requires Authentication Unlicensed Licensed |
ix |
|
Requires Authentication Unlicensed Licensed |
1 |
|
Requires Authentication Unlicensed Licensed |
6 |
|
Requires Authentication Unlicensed Licensed |
10 |
|
Requires Authentication Unlicensed Licensed |
12 |
|
Requires Authentication Unlicensed Licensed |
16 |
|
Requires Authentication Unlicensed Licensed |
20 |
|
Requires Authentication Unlicensed Licensed |
25 |
|
Requires Authentication Unlicensed Licensed |
30 |
|
Requires Authentication Unlicensed Licensed |
33 |
|
Requires Authentication Unlicensed Licensed |
37 |
|
Requires Authentication Unlicensed Licensed |
41 |
|
Requires Authentication Unlicensed Licensed |
48 |
|
Requires Authentication Unlicensed Licensed |
53 |
|
Requires Authentication Unlicensed Licensed |
57 |
|
Requires Authentication Unlicensed Licensed |
61 |
|
Requires Authentication Unlicensed Licensed |
63 |
|
Requires Authentication Unlicensed Licensed |
72 |
|
Requires Authentication Unlicensed Licensed |
75 |
|
Requires Authentication Unlicensed Licensed |
80 |
|
Requires Authentication Unlicensed Licensed |
95 |
Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 2, 2016
eBook ISBN:
9781400882144
Pages and Images/Illustrations in book
Main content:
107
eBook ISBN:
9781400882144
Keywords for this book
Stochastic process; Natural number; Theorem; Random variable; Probability; Martingale (probability theory); Probability space; Probability theory; Mathematics; Almost surely; Set (mathematics); Real number; Infinitesimal; Central limit theorem; Norm (mathematics); Probability measure; Axiom; Mathematical induction; Independence (probability theory); Joint probability distribution; Algebra of random variables; Cantor's diagonal argument; Subset; Projection (linear algebra); Sequence; Elementary function; Finite set; Absolute value; Probability distribution; Transfinite number; Law of large numbers; Cartesian product; Existential quantification; Measure (mathematics); Convergence of random variables; Division by zero; Indicator function; Scientific notation; Wiener process; Idealization; Chebyshev's inequality; Variable (mathematics); Internal set theory; Predictable process; Summation; Transfer principle; Bounded function; W0; Special case; Non-standard analysis; Statistical mechanics; Abraham Robinson; Standard deviation; Estimation; Orthogonal complement; Dimension (vector space); Counterexample; Product topology; Axiomatic system; N0; Total variation; Significant figures; Without loss of generality; Path space; Family of sets; Correlation coefficient; Vector space; Subalgebra; Dimension; Linear function
Audience(s) for this book
College/higher education;Professional and scholarly;
