Convolution without independence

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Convolution without independence

Widely used convolutions and deconvolutions techniques traditionally rely on the assumption of independence, an assumption often criticized as being very strong. We observe that independence is, in fact, not necessary for the convolution theorem to hold. Instead, a much weaker notion, known as subindependence, is the appropriate necessary and sufficient condition. We motivate the usefulness of ...

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ژورنال

عنوان ژورنال: Journal of Econometrics

سال: 2019

ISSN: 0304-4076

DOI: 10.1016/j.jeconom.2018.12.018