  The paper comments on properties of the so-called "Unified approach to the
construction of classical confidence intervals", in which confidence intervals
are computed in a Neyman construction using the likelihood ratio as ordering
quantity. In particular, two of the main results of a paper by Feldman and
Cousins (F&C) are discussed. It is shown that in the case of central intervals
the so-called flip-flopping problem, occuring in the specific scenario where
the experimenter decides to quote a standard upper limit or a confidence
interval depending on the measurement, can be easily avoided by choosing
appropriate confidence levels for the standard upper limits and confidence
intervals. In the F&C paper "upper limit" is defined as the upper edge of a
confidence interval, whose lower edge coincides with the physical limit. With
this definition of upper limit (F&C limit), in an approach which uses the
likelihood ratio as ordering quantity, two-sided confidence intervals
automatically change over to "upper limits" as the signal becomes weaker
(Unified approach). In the present paper it is pointed out that this behaviour
is not a special property of this approach, because approaches with other
ordering principles, like central intervals, symmetric intervals or
highest-probability intervals, exhibit the same behaviour. The Unified approach
is presented in the F&C paper as a solution to the flip-flopping problem. This
might suggest that the F&C limit is a standard upper limit. In order to exclude
any misunderstanding, it is proposed in the present paper to call the F&C limit
"upper edge of the confidence interval", even if its lower edge coincides with
the physical limit.
