  This paper discusses two distinct, but related issues in quantum fluctuation
effects. The first is the frequency spectrum which can be assigned to one loop
quantum processes. The formal spectrum is a flat one, but the finite quantum
effects can be associated with a rapidly oscillating spectrum, as in the case
of the Casimir effect. The leads to the speculation that one might be able to
dramatically change the final answer by upsetting the delicate cancellation
which usually occurs. The second issue is the probability distribution for
quantum fluctuations. It is well known that quantities which are linear in a
free quantum field have a Gaussian distribution. Here it will be argued that
quadratic quantities, such as the quantum stress tensor, must have a skewed
distribution. Some possible implications of this result for inflationary
cosmology will be discussed. In particular, this might be a source for
non-Gaussianity.
