The limit theorem for maximum of partial sums of exchangeable random variables

Patricia Alonso Ruiz and Alexander Rakitko

Statistics & Probability Letters, 2016, vol. 119, issue C, 357-362

Abstract: We obtain the analogue of the classical result by Erdös and Kac on the limiting distribution of the maximum of partial sums for exchangeable random variables with zero mean and variance one. We show that, if the conditions of the central limit theorem of Blum et al. hold, the limit coincides with the classical one. Under more general assumptions, the probability of the random variables having conditional negative drift appears in the limit.

Keywords: Exchangeable random variables; Limit theorem; Maximum; de Finetti’s theorem (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1016/j.spl.2016.09.010

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