Sums of independent random variables and regular variation
This thesis is concerned with further investigating, following the work of W. Feller, the application of the theory of regular variation, or generalisations of it, to various aspects of the classical theory of the convergence of normed sums of independent and identically distributed random variables. We are concerned, not only with the convergence of (or the convergence of subsequences of) the normed sums in distribution to non-degenerate random variables (this being the situation in the...[Show more]
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