Convergence Concepts

Sidney I. Resnick
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Sidney I. Resnick: School of Operations Research and Industrial Engineering

Chapter 6 in A Probability Path, 2005, pp 167-201 from Springer

Abstract: 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.

Date: 2005
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DOI: 10.1007/978-1-4612-1818-0_6

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