Bitte verwenden Sie diesen Link, um diese Publikation zu zitieren, oder auf sie als Internetquelle zu verweisen: https://hdl.handle.net/10419/286790 
Erscheinungsjahr: 
2021
Quellenangabe: 
[Journal:] Metrika [ISSN:] 1435-926X [Volume:] 85 [Issue:] 3 [Publisher:] Springer [Place:] Berlin, Heidelberg [Year:] 2021 [Pages:] 323-343
Verlag: 
Springer, Berlin, Heidelberg
Zusammenfassung: 
We study the problem of estimating conditional distribution functions from data containing additional errors. The only assumption on these errors is that a weighted sum of the absolute errors tends to zero with probability one for sample size tending to infinity. We prove sufficient conditions on the weights (e.g. fulfilled by kernel weights) of a local averaging estimate of the codf, based on data with errors, which ensure strong pointwise consistency. We show that two of the three sufficient conditions on the weights and a weaker version of the third one are also necessary for the spc. We also give sufficient conditions on the weights, which ensure a certain rate of convergence. As an application we estimate the codf of the number of cycles until failure based on data from experimental fatigue tests and use it as objective function in a shape optimization of a component.
Schlagwörter: 
Conditional distribution function estimation
Consistency
Experimental fatigue tests
Local averaging estimate
Shape optimization
Isogeometric analysis
JEL: 
G05
G20
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