A Basic Course in Probability Theory (Universitext)
English | 21 Feb. 2017 | ISBN: 3319479725 | 280 Pages | PDF | 3.41 MB
This text develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications. In this second edition, the text has been reorganized for didactic purposes, new exercises have been added and basic theory has been expanded. General Markov dependent sequences and their convergence to equilibrium is the subject of an entirely new chapter. The introduction of conditional expectation and conditional probability very early in the text maintains the pedagogic innovation of the first edition; conditional expectation is illustrated in detail in the context of an expanded treatment of martingales, the Markov property, and the strong Markov property. Weak convergence of probabilities on metric spaces and Brownian motion are two topics to highlight. A selection of large deviation and/or concentration inequalities ranging from those of Chebyshev, Cramer-Chernoff, Bahadur-Rao, to Hoeffding have been added, with illustrative comparisons of their use in practice. This also includes a treatment of the Berry-Esseen error estimate in the central limit theorem.
The authors assume mathematical maturity at a graduate level; otherwise the book is suitable for students with varying levels of background in analysis and measure theory. For the reader who needs refreshers, theorems from analysis and measure theory used in the main text are provided in comprehensive appendices, along with their proofs, for ease of reference.
Rabi Bhattacharya is Professor of Mathematics at the University of Arizona. Edward Waymire is Professor of Mathematics at Oregon State University. Both authors have co-authored numerous books, including a series of four upcoming graduate textbooks in stochastic processes with applications.
Download:
http://longfiles.com/0k8gi5es2xg9/A_Basic_Course_in_Probability_Theory_(Universitext).pdf.html
[Fast Download] A Basic Course in Probability Theory (Universitext)
Analysis of Survival Data with Dependent Censoring: Copula-Based Approaches
Underwater Robots, Second Edition
An Introduction to Statistics with Python: With Applications in the Life Sciences
Type Systems for Distributed Programs: Components and Sessions
Numerical Simulation in Applied Geophysics (Lecture Notes in Geosystems Mathematics and Computing)
Intelligent Computer Mathematics: 9th International Conference, CICM 2016, Bialystok, Poland
2017/2018 ASVAB For Dummies with Online Practice
Numerical and Analytical Methods for Scientists and Engineers Using Mathematica
Introduction to Analytic Number Theory
Nonsmooth Vector Functions and Continuous Optimization
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.
Astronomy and Cosmology | Physics |
Philosophy | Medicine |
Mathematics | DSP |
Cryptography | Chemistry |
Biology and Genetics | Psychology and Behavior |
Professor Stewart's Casebook of Mathematic(5037)
Seventeen Equations that Changed the World(4779)
An Introduction to Financial Markets: A Qu(4509)
Introduction to Python for Engineers and S(3592)
Schaum's Outline of Mathematical Handbook (3456)
Schaum's Outline of Statistics, 6th Editio(3316)
An Adventure in Statistics: The Reality En(3269)
Reverse Mathematics(3068)
Schaum's Outline of Trigonometry, 6th Edit(2871)
Mathematical Statistics(2827)
Pro Deep Learning with TensorFlow: A Mathe(2778)
Fundamentals of Differential Equations, 9t(2625)
Mathematics in Industry(2124)
A Portrait of Linear Algebra, 3rd edition(2116)
Statistics Made Simple(2055)
