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

abstract

• We obtain the analogue of the classical result by Erd"os 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 limiting distribution.

authors

• Alonso Ruiz, Patricia

published proceedings

• STATISTICS & PROBABILITY LETTERS

author list (cited authors)

• Ruiz, P. A., & Rakitko, A.

citation count

• 0

complete list of authors

• Ruiz, Patricia Alonso||Rakitko, Alexander

publication date

• December 2016

publisher

• Elsevier  Publisher

published in

• Statistics and Probability Letters  Journal

keywords

• De Finetti's Theorem
• Exchangeable Random Variables
• Limit Theorem
• Maximum

Digital Object Identifier (DOI)

• 10.1016/j.spl.2016.09.010

start page

• 357

end page

• 362

volume

• 119

issue

• C

URL

• http://dx.doi.org/10.1016/j.spl.2016.09.010