Abstract
Much of classical probability theory and its applications to statistics concerns limit theorems; that is, the asymptotic behavior of a sequence of random variables. The sequence could consist of sample averages, cumulative sums, extremes, sample quantiles, sample correlations, and so on. Whereas probability theory discusses limit theorems, the theory of statistics is concerned with large sample properties of statistics, where a statistic is just a function of the sample.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer Science+Business Media New York
About this chapter
Cite this chapter
Resnick, S.I. (2005). Convergence Concepts. In: A Probability Path. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1818-0_6
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1818-0_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7297-7
Online ISBN: 978-1-4612-1818-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)