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20062026
most citedEquivalence of distance-based and RKHS-based statistics in hypothesis testing

602 citations

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math.ST2019

Dependence Properties of B-Spline Copulas

Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin +1

We construct by using B-spline functions a class of copulas that includes the Bernstein copulas arising in Baker's distributions. The range of correlation of the B-spline copulas i…

math.ST2013★ 68 cited

Density Estimation in Infinite Dimensional Exponential Families

Bharath Sriperumbudur, Kenji Fukumizu, Arthur Gretton +2

In this paper, we consider an infinite dimensional exponential family, of probability densities, which are parametrized by functions in a reproducing kernel Hilbert s…

math.ST2009★ 10 cited

Asymptotic theory of semiparametric -estimators for stochastic processes with applications to ergodic diffusions and time series

Yoichi Nishiyama

This paper generalizes a part of the theory of -estimation which has been developed mainly in the context of modern empirical processes to the case of stochastic processes, typi…