AbstractMonotone function problems are introduced on a very elementary level to reveal the close connection to certain statistical problems. Equations $$F(x) = c$$
F
(
x
)
=
c
and inequalities $$F(x) \ge c$$
F
(
x
)
≥
c
with monotone increasing functions F are considered. Solution methods are stated. In the following, it is shown how some important problems of statistics, especially also statistical selection problems, can be solved by transformation to monotone function problems.
Monotone Function Problems and Statistical Selection Procedures