I have not found a detailed definition of their ISO measurement either except a description that they are fully compliant with ISO standards, which would mean that the ISO is measured the same way it was in the film days.
Not really: remember that ISO just refers to the International Organization for Standardization which publishes many standards, including several related to film and sensors, and the ISO standard for film speed is not the same thing as the so-called ISO setting on a digital camera, though they have something in common.
1. The "ISO scale" on a digital camera should relate to Exposure Index, which measures what combinations of subject illumination, shutter speed, and aperture ratio will give a suitable "middle gray" response from the camera. This really should be called exposure index, but the ambiguous and confusing name "ISO" is entrenched.
2. The ISO (formerly ASA) speed rating of a film is roughly the
maximum exposure index that gives results meeting a certain standard of
shadow handling and such: it is roughly a maximum safe exposure index, based roughly on how well subjects four stops below middle gray are handled.
By the way, there is yet another ISO standard definition worth mention:
3. There is also an ISO standard for "base speed" or roughly the
minimum exposure index giving satisfactory
highlight handling; based on having about three stops between mid-tone exposure level and blown highlights. Quite different from ISO film speed.
Loosely, 1. is about specifying units of measurement (like seconds) while 2. and 3. use those units to measure two quite different characteristics of the "light sensitive medium" (the minimum and maximum acceptable exposure times in those units of seconds under certain conditions on illumination and f-stop.)