Arnold~\cite{arn} raised several questions for upper records,
  including characterizing all limit distributions of normalised
  partial sums of upper records. We provide some answers in the case
  when the distribution from which the samples are drawn is bounded
  above.  When the distribution is not bounded above, we give
  sufficient conditions on the distribution for the properly
  normalized partial sums to converge to a standard normal
  distribution. We show that our conditions are general enough so that
  the examples provided by Arnold are covered by our results.