"to live longer than," late 15c., from out- + live (v.). Related: Outlived; outliving. Old English had oferbiden (Middle English overbiden, literally "over-bide") for "to outlive, outlast, live through," also oferlibban (literally "over-live;" compare German überleben, Danish overleve).
Outlive, Survive. Outlive is generally the stronger, carrying something of the idea of surpassing or beating another in vitality or hold upon life; it is tenderer to say that one survives than that he outlives his wife or friend. [Century Dictionary, 1895]