Consider Beta decay. The lead Feynman diagram is so.
In a neutron a $d$ quark changes to a $u$ by emitting a $W^-$ Boson. This then decays up into an electron-anti neutrino and an electron.
Now the thing about Feynman diagrams is you can (usually) move a "leg" from up to down by changing the particle to an anti-particle. And you can (again, usually) change all the particles in a diagram to their anti particles and get a still-valid diagram. However, not all such diagrams are equally easy to observe.
This is electron capture. Note that there are two versions. One where the intermediate is a $W^-$ (going "backwards" in time) and the other with a $W^+$.
But compare to the Beta decay diagram. All three are really the same diagram just with various particles flipped up-to-down and particle-to-anti.
Electron capture is most usually observed in certain types of atom where it is energetically favorable. An electron from one of the atom's orbitals is captures by on of the protons in the nucleus. One proton is replaced by one neutron and a neutrino is emitted.
Positron capture is possible by starting with the Beta decay diagram and flipping the electron down. Instead of an electron leaving it is a positron entering. It is not as easy to observe as electron capture. A positron will tend to find an electron before it finds a nucleus.