"An alien charged by the Department of Homeland Security (DHS) with a violation of immigration law is issued a charging document. The most common charging documents are the Notice to Appear (NTA) and the Notice of Referral to Immigration Judge. When the charging document is filed by DHS with the immigration court, jurisdiction over the case transfers from DHS to the Executive Office for Immigration Review (EOIR), which has oversight over the immigration courts located throughout the United States. Once an alien has been ordered removed by EOIR, DHS carries out the removal. EOIR does not maintain statistics on alien removals from the United States."
U.S. Department of Justice: https://www.justice.gov/