A central limit theorem for sums of a random number of independent random variables
Zdzisław Rychlik (1976)
Colloquium Mathematicae
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Displaying similar documents to “Note on successive cumulative sums of independent random variables”
A central limit theorem for sums of a random number of independent random variables
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Let be a sequence of independent and identically distributed random variables with continuous distribution function F(x). Denote by X(1,k),X(2,k),... the kth record values corresponding to We obtain some stochastic comparison results involving the random kth record values X(N,k), where N is a positive integer-valued random variable which is independent of the .
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