When a person dies, all his or her possessions real estate, money, stocks, personal belongings, etc. become a part of his or her estate. Estate administration refers to the process of collecting and managing the estate, paying any debts and taxes, and distributing the remaining property to the heirs of the estate. The heirs of an estate are determined by will, and if there isn’t a will, by the intestacy (which means dying without a will) laws of each state.