Abstract
This chapter contains a summary of the basic concepts and theorems of the theory of probability that are needed in the following chapters. The proofs of most of the statements are omitted; they can be found in the texts of, among others, Gnedenko [23], Feller [147, 148], Loève [64] and Lukacs [286]. Proofs of some of the more specialized results are given here.
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© 1975 Springer-Verlag Berlin · Heidelberg
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Petrov, V.V. (1975). Probability Distributions and Characteristic Functions. In: Sums of Independent Random Variables. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65809-9_1
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DOI: https://doi.org/10.1007/978-3-642-65809-9_1
Publisher Name: Springer, Berlin, Heidelberg
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