  The binding energies and proton separation energies of nuclides with $Z, N =
30-50$ are investigated, based on the shell model with an uncertainty analysis
through statistical methods. Several formulas are used to obtain the binding
energies and proton separation energies according to the shell-model
calculations. The non-parametric Bootstrap method is applied to establish an
uncertainty decomposition and recomposition framework. Moreover, it is used to
estimate the stability of proton(s) emission for each nuclide. Two formulas for
calculating the binding energies with a systematic uncertainty of $\sim0.3$ MeV
are proposed, and a reliable extrapolation ability is examined. These binding
energy formulas deduce similar forms of respective $S_{p}$ and $S_{2p}$
energies, which predict the extension of the nuclear boundary of this region. A
nice description of the binding energies and proton separation energies is
provided. The one- and two-proton separation energies and partial half-lives of
proton emitting are predicted, thus showing a new dripline. Besides, there are
30 unstable nuclides predicted to be bound against proton(s)-emission. These
nuclear properties will be useful in nuclear astrophysics.
