In Buddhism, an Anagārika ("homeless one") is a person who has given up most or all of their worldly possessions and responsibilities to commit full-time to Buddhist practice.
Upāsaka ("attendant") is the title of followers of Buddhism who are not monks.
Pabbajja literally means "to go forth" and refers to when a layperson leaves home to live the life of a Buddhist renunciate among a community of bhikkhus (fully ordained monks).