In　order　to　avoid　wrong　conclusions　in　any　further　analysis,　it　is　of　importance　to　conduct　a　formal　comparison　for　characteristic　quantities　of　the　distributions.　These　characteristic　quantities　we　are　familiar　with　include　mean,　quantity　and　reliability　function,　and　so　on.　In　this　paper,　we　consider　two　tests　aiming　at　the　comparisons　for　function　of　parameters　in　Pareto　distribution　based　on　record　values.　They　are　generalized　p-value-based　test　and　parametric　bootstrap-based　test,　respectively.　The　resulting　procedures　are　easy　to　compute　and　are　applicable　to　small　samples.　A　simulation　study　is　conducted　to　investigate　and　compare　the　performance　of　the　proposed　tests.　A　phenomenon　we　note　is　that　generalized　p-value-based　test　almost　uniformly　outperforms　the　parametric　bootstrap-based　test.