ABSTRACT

Helping students develop a good understanding of asymptotic theory, Introduction to Statistical Limit Theory provides a thorough yet accessible treatment of common modes of convergence and their related tools used in statistics. It also discusses how the results can be applied to several common areas in the field.The author explains as much of the

chapter Chapter 1|51 pages

Sequences of Real Numbers and Functions

chapter Chapter 2|47 pages

Random Variables and Characteristic Functions

chapter Chapter 3|58 pages

Convergence of Random Variables

chapter Chapter 4|70 pages

Convergence of Distributions

chapter Chapter 5|25 pages

Convergence of Moments

chapter Chapter 6|28 pages

Central Limit Theorems

chapter Chapter 7|55 pages

Asymptotic Expansions for Distributions

chapter Chapter 8|19 pages

Asymptotic Expansions for Random Variables

chapter Chapter 9|24 pages

Differentiable Statistical Functionals

chapter 10|91 pages

Parametric Inference

chapter Chapter 11|89 pages

Nonparametric Inference