This study will test the hypothesis that a lower risk therapy (alternate-day, lower dose, shorter-term prednisone) will cause a remission of autoimmune ovarian failure. There is no reliable blood test to identify patients who have premature ovarian failure. Therefore, all patients must undergo a laparoscopic ovarian biopsy to confirm the presence of an auto immune reaction in the ovaries (autoimmune oophoritis). Laparoscopy is a surgical procedure that allows doctors to explore the abdomen using a camera-like device called a laparoscope. The procedure has been used clinically by some reproductive endocrinologists to identify patients with premature ovarian failure who have an autoimmune mechanism for the disorder.