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.
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© 2014 Springer Science+Business Media New York
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Resnick, S.I. (2014). Convergence Concepts. In: A Probability Path. Modern Birkhäuser Classics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8409-9_6
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DOI: https://doi.org/10.1007/978-0-8176-8409-9_6
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Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-8408-2
Online ISBN: 978-0-8176-8409-9
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