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On testing for local monotonicity in deconvolution problems

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  • Meister, Alexander

Abstract

We construct a testing procedure for monotonicity on some interval in the statistical models of density deconvolution and signal deblurring under white noise. The corresponding error probabilities are studied with particular attention to their asymptotic properties.

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  • Meister, Alexander, 2009. "On testing for local monotonicity in deconvolution problems," Statistics & Probability Letters, Elsevier, vol. 79(3), pages 312-319, February.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:3:p:312-319
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    References listed on IDEAS

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    1. Bissantz, Nicolai & Holzmann, Hajo, 2007. "Statistical inference for inverse problems," Technical Reports 2007,40, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    2. Holzmann, Hajo & Bissantz, Nicolai & Munk, Axel, 2007. "Density testing in a contaminated sample," Journal of Multivariate Analysis, Elsevier, vol. 98(1), pages 57-75, January.
    3. Rachdi, Mustapha & Sabre, Rachid, 2000. "Consistent estimates of the mode of the probability density function in nonparametric deconvolution problems," Statistics & Probability Letters, Elsevier, vol. 47(2), pages 105-114, April.
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