'Established' in the Bible

After these events King Ahasuerus promoted Haman, the son of Hammedatha the Agagite, and advanced him and established his authority over all the princes who were with him.

the Jewish people established this celebration, making it a tradition for themselves, for their descendants, and for all who joined with them that they should not fail to observe these two days each year, based on the written instructions, and at the prescribed time.

in order to confirm these days of Purim at their proper time just as Mordecai the Jew and Queen Esther had established them and just as they had committed themselves and their descendants to the practices of fasting and lamentation.

The order of Esther established these instructions for Purim, and it was officially recorded.