ISO 10816-7:2009 is the international standard specifically for evaluating the mechanical vibration of rotodynamic pumps
ISO 10816-7 is an internationally recognized standard titled: “Mechanical vibration — Evaluation of machine vibration by measurements on non-rotating parts — Part 7: Rotodynamic pumps for industrial applications, including measurements on rotating shafts.” iso 10816-7 pdf download
It does not cover reciprocating pumps, submersible pumps, or pumps for hydraulic power systems. Standard measurement for most pumps