1. A life management system for predicting the remaining useful life of a thermal barrier coating (TBC) of turbine hot gas and combustion components of a gas turbine unit, comprising: a non-transitory computer-readable storage medium comprising a series of computer instructions, for determining a cumulative damage of at least one component using operational data including temperature, the computer instructions comprising at least one damage transfer function based upon a physics model; the computer-readable storage medium further configured for determining a gas turbine unit risk and a classification probability; and a data fusion module that receives the cumulative damage of the at least one component and the gas turbine unit risk and classification probability, the data fusion module configured to calculate at least one life parameter including a thermal barrier coating parameter; wherein the at least one component comprises a thermal barrier coating.