Displaying similar documents to “Adaptive tests for periodic signal detection with applications to laser vibrometry”

A Bimodality Test in High Dimensions

Palejev, Dean (2012)

Serdica Journal of Computing

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We present a test for identifying clusters in high dimensional data based on the k-means algorithm when the null hypothesis is spherical normal. We show that projection techniques used for evaluating validity of clusters may be misleading for such data. In particular, we demonstrate that increasingly well-separated clusters are identified as the dimensionality increases, when no such clusters exist. Furthermore, in a case of true bimodality, increasing the dimensionality makes identifying...

Adaptive goodness-of-fit testing from indirect observations

Cristina Butucea, Catherine Matias, Christophe Pouet (2009)

Annales de l'I.H.P. Probabilités et statistiques

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In a convolution model, we observe random variables whose distribution is the convolution of some unknown density and some known noise density . We assume that is polynomially smooth. We provide goodness-of-fit testing procedures for the test : = , where the alternative is expressed with respect to 𝕃 2 -norm (i.e. has the form ψ n - 2 ∥ f - f 0 ∥ 2 2 ≥ 𝒞 ). Our procedure is adaptive with respect to the unknown smoothness parameter of . Different testing rates ( ...