An introduction to probability and statistical inference

Bibliographic Details
Main Author: Roussas, George G.
Format: eBook
Language:English
Published: London, U.K. Academic Press 2015, 2015
Edition:Second edition
Subjects:
Online Access:
Collection: Elsevier ScienceDirect eBooks - Collection details see MPG.ReNa
Table of Contents:
  • Some motivating examples and some fundamental concepts
  • The concept of probability and some basic results
  • Numerical characteristics of a random variable, some special random variables
  • Joint and conditional P.D.F.'s, conditional expectation and variance, moment generating function, covariance and correlation coefficient
  • Independence of random variables and some applications
  • Transformation of random variables
  • Some modes of convergence of random variables, applications
  • An overview of statistical inference
  • Point estimation
  • Confidence intervals and confidence regions
  • Testing hypotheses
  • More about testing hypotheses
  • A simple linear regression model
  • Two models of analysis of variance
  • Some topics in nonparametric inference