In a nonlinear (univariate) regression problem, specifically
a calibration problem in thermometrics, I have the problem of
testing whether a curve expressing a relationship between
Electrical Resistance and Temperature is monotone
versus the possibility of it having bumps inverting the monotonicity.
The problem of checking the existance of bumps becomes difficult
especially
in the regions of sparse data.
I would like directions to the existing related statistical literature.
Thanks.
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