Large Sample Techniques for Statistics

• Main Author: Jiang, Jiming. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Edition: 1.
• Series: Springer Texts in Statistics,
• Subjects: Statistics.; Mathematical statistics.; Statistical Theory and Methods.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-6827-2

This book offers a comprehensive guide to large sample techniques in statistics. More importantly, it focuses on thinking skills rather than just what formulae to use; it provides motivations, and intuition, rather than detailed proofs; it begins with very simple techniques, and connects theory and...

Table of Contents:

• The epsilon-delta arguments
• Modes of convergence
• Big O, small o, and the unspecified c
• Asymptotic expansions
• Inequalities
• Sums of independent random variables
• Empirical processes
• Martingales
• Time and spatial series
• Stochastic processes
• Nonparametric statistics
• Mixed effects models
• Small area estimation
• Jackknife and bootstrap
• Markov chain Monte Carlo.