The Fourier transform may be used to give a characterization of continuous measures.

Research using a continuous measure of democracy shows that the most democratic nations have few MIDs with one another.

Previous studies have been hampered by the lack of a continuous measure of birth weight independent of gestational age.

Other markers, such as PSA, involve a continuous measure for which higher values indicate a greater probability of cancer.

Dividing these continuous measures into ranges (either based on predetermined values or percentiles) gives ordered categories.

Hence (singular continuous measures aside), Lebesgue decomposition gives a very explicit description of measures.

This corresponds to X having no non-zero absolutely continuous G-invariant measure.

Power for any analyses involving continuous measures can be approximated using an independent t test comparison between the incident cases and controls.

Michał Misiurewicz (1981), "Absolutely continuous measures for certain maps of an interval".

In turn, a mass is associated with two non-additive continuous measures called belief and plausibility defined as follows: