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math.PR2019
On sequential maxima of exponential sample means, with an application to ruin probability
Dimitris Cheliotis, Nickos Papadatos
We obtain the distribution of the maximal average in a sequence of independent identically distributed exponential random variables. Surprisingly enough, it turns out that the inve…
math.PR2019
Sequences of expected record values
Nickos Papadatos
We investigate conditions in order to decide whether a given sequence of real numbers represents expected record values arising from an independent, identically distributed, sequen…