TY  - BOOK
AU  - Spataru,Aurel
TI  - Analysis and probability
T2  - Elsevier insights
SN  - 9780124016651
U1  - 519.2 23
PY  - 2013///
CY  - Amsterdam
PB  - Elsevier
KW  - Stochastic analysis
KW  - Probabilities
N1  - pt. 1. Analysis --
 1. Elements of Set Theory --
 2. Topological Preliminaries --
 3. Measure Spaces --
 4. The Integral --
 5. Measures on Product v-Algebras --

pt. 2. Probability --
 6. Elementary Notions in Probability Theory --
 7. Distribution Functions and Characteristic Functions --
 8. Probabilities on Metric Spaces --
 9. Central Limit Problem --
 10. Sums of Independent Random Variables --
 11. Conditioning --
 12. Ergodicity, Mixing, and Stationarity--
List of symbols
N2  - Probability theory is a rapidly expanding field and is used in many areas of science and technology. Beginning from a basis of abstract analysis, this mathematics book develops the knowledge needed for advanced students to develop a complex understanding of probability. The first part of the book systematically presents concepts and results from analysis before embarking on the study of probability theory. The initial section will also be useful for those interested in topology, measure theory, real analysis and functional analysis. The second part of the book presents the concepts, methodology --
ER  -