TY  - BOOK
AU  - DasGupta,Anirban
TI  - Probability for statistics and machine learning: fundamentals and advanced topics
T2  - Springer Texts in Statistics
SN  - 9781441996336
U1  - 519.2 
PY  - 2011///
CY  - New York
PB  - Springer-Verlag
KW  - Statistics
KW  - Probability
KW  - Machine Learning
KW  - Mathematical statistics
KW  - Probabilities
KW  - Stochastic processes
N1  - Includes index; Review of univariate probability -- Multivariate discrete distributions -- Multidimensional densities -- Advanced distribution theory -- Multivariate normal and related distributions -- Finite sample theory of order statistics and extremes -- Essential asymptotics and applications -- Characteristic functions and applications -- Asymptotic of extremes and order statistics -- Markov chains and applications -- random walks -- Brownian motion and Gaussian processes -- Poisson processes and applications -- Discrete time martingales and concentration inequalities -- Probability metrics -- Emperical processes and V C theory -- Large deviations -- The exponential family and statistical applications -- Simulation and Markov chain Monte Carlo -- Useful tools for statistics and machine learning
ER  -