The two-day civil trial brought by the family begins on Monday.
On Dec. 8, 2008, a jet crashed into a San Diego neighborhood, incinerating two homes and killing Don Yoon's 36-year-old wife, two young daughters and mother-in-law.
The pilot - a student - ejected himself and was not hurt.
The Marine Corps has acknowledged that the fatal accident was caused by a mechanical failure and a string of errors.
A federal judge will determine whether the U.S. government should pay the family, and if so, how much.
The Associated Press contributed to this report.