Reference for Yoma 81:4

מיתיבי ועשהו חטאת הגורל עושה חטאת ואין השם עושה חטאת

is made either by the owner<span class="x" onmousemove="('comment',' At the purchase the owner can decide which is to serve for either sacrifice.');">³</span> or by the priest's action.<span class="x" onmousemove="('comment',' If not designated by the owner, the priest has the right to name each bird for the sacrifice he chooses, i.e., either sin-, or burnt-offering.');">⁴</span>

Jastrow