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- W1822705437 abstract "In this chapter we study convergence in distribution in settings involving sequences (S n : n = 1, 2,...), where for each n, S n = X 1+... + X n is the n th partial sum of a series of independent random variables. Our first result is that convergence in distribution of (S n ) is equivalent to a.s. convergence. Thereafter, we specialize to the case in which (X 1, X 2,...) is an iid sequence. Further limit theorems involving more general sums of independent random variables will be found in Chapter 16." @default.
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- W1822705437 date "1997-01-01" @default.
- W1822705437 modified "2023-09-24" @default.
- W1822705437 title "Distributional Limit Theorems for Partial Sums" @default.
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- W1822705437 doi "https://doi.org/10.1007/978-1-4899-2837-5_15" @default.
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