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1 Erratum to: Test (2011) 20:72–94 DOI 10.1007/s11749-010-0188-0
We want to point out the following corrections to the original article:
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1.
Replace “\((\log n) ^{-1}\) ” by “\(c\log n/n\)” in their Corollaries 1–3 and three lines above Eq. (2.16).
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2.
In Eq. (2.5) replace “\(O( \sqrt{b_{n}}) \)” by “\(=O\left( \sqrt{ b_{n}\left( \frac{\left| \log b_{n}\right| }{\log \log n}\vee 1\right) }\right) =o(1)\)”.
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3.
In Eqs. (2.6) and (2.7) and in the two lines below their Corollary 2, replace “ \(\sqrt{b_{n}\log \log n}\) ” by “ \(\sqrt{b_{n}( \log \log n\vee \vert \log b_{n}\vert ) }\)” .
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4.
Three lines below Eq. (2.15) replace“ \( 0<b_{n}<1\) satisfying \(b_{n}\ge (\log n) ^{-1}\) and \(\sqrt{n} b_{n}/\sqrt{\log \log n}=o(1)\)” by“ \(b_{n} \) satisfying \(b_{n}\ge c\log n/n\) and \(b_{n}\rightarrow 0\)” .
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5.
In (F.ii) given in the Theorem, \(\mathcal {G}\) should be \( \mathcal {G}_{\gamma }\).
For more details of corrections 1–4 refer to Corollaries 1.12, 1.13 and 1.14 in Mason and Swanepoel (2013).
Reference
Mason DM, Swanepoel JWH (2013) Uniform in bandwidth limit laws for kernel distribution function estimators. In: Banerjee M, Bunea F, Huang J, Koltchinskii V, Maathuis MH (eds) IMS collections: probability to statistics and back: high-dimensional models and processes—a Festschrift in Honor of Jon A. Wellner, vol 9, pp 241–253
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The online version of the original article can be found under doi:10.1007/s11749-010-0188-0.
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Mason, D.M., Swanepoel, J.W.H. Erratum to: A general result on the uniform in bandwidth consistency of kernel-type function estimators. TEST 24, 205–206 (2015). https://doi.org/10.1007/s11749-014-0420-4
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DOI: https://doi.org/10.1007/s11749-014-0420-4