3 problems
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Extension of multivariate generalized linear-statistic limit theorems to other weak dependence
Weak-dependence extension conjecture. An extension of the multivariate results to the other type of weak dependence discussed in the paper should also be possible.
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Conjecture on weakly dependent time series beyond projective criteria, association, and Gaussianity
Weak-dependence conjecture. Some time series satisfy weak dependence conditions with fast enough decay rates to ensure a Donsker type theorem, but satisfy neither condition nor ano…
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The arbitrary-p Wasserstein-p rate conjecture for the central limit theorem
For , let denote the Wasserstein- distance. Under the moment and weak-dependence assumptions considered for the central limit theorem, the expected convergence ra…