In this paper the author says
By using an irregular sampling pattern and filtering the irregular samples to create the pixels, featureless noise is produced from such high frequencies rather than false patterns.
A similar argument is outlined in here without explanation
If we make the samples irregular, in a controlled fashion, then these higher frequencies would appear in the image as noise rather than aliases.
I am writing a little report investigating stochastic sampling as a second-year undergraduate student. I would be grateful if someone could explain this in more detail. Thanks!! Other resource recommendation and guidance are also appreciated!
UPDATE: I have found this paper which says that because stochastic sampling break the periodicity of aliasing artefacts as a result of randomness, it creates noise instead. To my understanding, this is saying that noise is a form of artefact such as "aliasing" but less concentrate. However this contradicts with its definition as wikipedia says it
is random variation of brightness or color information in images