- #1

ChrisVer

Gold Member

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and came across this comment:

The simulated top quark and diboson samples as well as the data-driven background estimate are statistically limited at large $m_T$. Therefore the expected number of events is extrapolated into the high $m_T$ region using fits.Several fits are carried out, exploring various fit ranges as well as the two fit functions [itex]f(m_T) = e^{-a} m^b_T m_T^{c \log m_T}[/itex] and [itex]f(m_T) = \frac{a}{(m_T + b)^{c}}[/itex]. The fit with the best [itex]\chi^2 /\text{d.o. f.}[/itex] is used as the extrapolated background contribution, with an uncertainty evaluated using the RMS of all attempted fits

My question is basically a statistical one.... how can you make several fits using only 2 fitting functions?

Or do they mean something like fitting with func1 in some ranges [a,b] with a,b varying?

Also I do not understand well the uncertainty evaluation using the RMS of all attempted fits [how it works statistically].