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- W2963053522 abstract "We study the joint distribution of the number of occurrences of members of a collection of nonoverlapping motifs in digital data. We deal with finite and countably infinite collections. For infinite collections, the setting requires that we be very explicit about the specification of the underlying measure-theoretic formulation. We show that (under appropriate normalization) for such a collection, any linear combination of the number of occurrences of each of the motifs in the data has a limiting normal distribution. In many instances, this can be interpreted in terms of the number of occurrences of individual motifs: They have a multivariate normal distribution. The methods of proof include combinatorics on words, integral transforms, and poissonization." @default.
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- W2963053522 date "2016-07-09" @default.
- W2963053522 modified "2023-09-23" @default.
- W2963053522 title "On the Variety of Shapes in Digital Trees" @default.
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- W2963053522 doi "https://doi.org/10.1007/s10959-016-0700-x" @default.
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