Uniformly Powerful Goodness of Fit Tests

By Andrew R. Barron. 1989

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Citations in the corpus

Inference Under Information Constraints I: Lower Bounds From Chi-Square Contraction (2018, neutral): “[8], [40]).”
The hardness of conditional independence testing and the generalised covariance measure (2018, neutral): “lim inf n→∞ inf Q∈QQn = 1) < 1, [33], [4], Proposition 2, Theorem 3.”
A Kernel Test of Goodness of Fit (2016, methodology): “A first strategy is to partition the space, and to conduct the test on a histogram estimate of the distribution (Barron, 1989; Beirlant et al., 1994; Györfi & van der Meulen, 1990; Györfi & Vajda, 2002).”
Hypothesis Testing For Densities and High-Dimensional Multinomials: Sharp Local Minimax Rates (2017, background): “However, there exist no consistent tests that can distinguish an arbitrary distribution P0 from alternatives separated in `1; see [2, 17].”
On posterior consistency of survival models (2001, background): “…consistency in nonparametric Bayesian models has been studied intensively and now a body of a fairly general theory exists [see, Schwartz (1965); Barron (1988, 1989), Barron, Schervish and Wasserman (1999); Ghosal, Ghosh and van der Vaart (2000), Shen and Wasserman (1998), Ghosal, Ghosh and…”
Hypothesis Testing for High-Dimensional Multinomials: A Selective Review (2017, background): “As shown in LeCam (1973) and Barron (1989), the power of any test over the set {p : TV(p,p0) > ε} is trivial unless we add further assumptions.”
Information Criteria in Model Selection for Mixing Processes (2001, unknown): “…of statistical models have been made, and the proposed criteria have been examined from theoretical and practical aspects (cf. Shibata, 1980, 1981; Barron, 1986, 1989; Knight, 1989; Hall, 1990; Hurvich and Tsai, 1993, 1995; Burman and Nolan, 1995; Laud and Ibrahim, 1995; Portnoy, 1997; Burnham…”
Consistent Nonparametric Tests of Independence (2010, background): “1 Strongly Consistent Test We refer to Tusnády (1977) and Barron (1989) who first discussed the exponential character of the tails of In.”