  The term moderate deviations is often used in the literature to mean a class
of large deviation principles that, in some sense, fills the gap between a
convergence in probability of some random variables to a constant and a weak
convergence to a centered Gaussian distribution (when such random variables are
properly centered and rescaled). We talk about noncentral moderate deviations
when the weak convergence is towards a non-Gaussian distribution. In this
paper, we prove a noncentral moderate deviation result for the bivariate
sequence of sums and maxima of i.i.d. random variables bounded from above. We
also prove a result where the random variables are not bounded from above, and
the maxima are suitably normalized. Finally, we prove a moderate deviation
result for sums of partial minima of i.i.d. exponential random variables.
