Rose C., Smith M. Mathematical Statistics with Mathematica 2002

Textbook in PDF format

This book and software package presents a unified approach for doing mathematical statistics with Mathematica. The mathStatica software empowers the student with the ability to solve difficult problems. The professional statistician will be able to tackle tricky multivariate distributions, generating functions, inversion theorems, symbolic maximum likelihood estimation, unbiased estimation, and the checking and correcting of textbook formulae. This is the ideal companion for researchers and students in statistics, econometrics, engineering, physics, psychometrics, economics, finance, biometrics, and the social sciences.
Introduction
Continuous Random Variables
Discrete Random Variables
Distributions of Functions of Random Variables
Systems of Distributions
Multivariate Distributions
Moments of Sampling Distributions
Asymptotic Theory
Statistical Decision Theory
Unbiased Parameter Estimation
Principles of Maximum Likelihood Estimation
Maximum Likelihood Estimation in Practice