Testing in Nonparametric Accelerated Life Time Models
DOI:
https://doi.org/10.17713/ajs.v37i1.289Abstract
A goodness-of-fit test for testing the acceleration function in a nonparametric life time model is proposed. For this aim the limit distribution of an L2-type test statistic is derived. Furthermore, a bootstrap method is considered and the power of the test is studied.
References
Collomb, G. (1976). Estimation non paramétrique de la régression par la m´ethode du noyau, Thèse. (Université Paul Sabatier, Toulouse)
Härdle, W., and Mammen, E. (1993). Comparing nonparametric versus parametric regression fits. Annals of Statistics, 21, 1926-1947.
Liero, H. (1992). Asymptotic normality of a weighted integrated square error of kernel regression estimates with data-dependent bandwidth. Journal of Statistical Planning
and Inference, 30, 307-325.
Liero, H. (2003). Testing homoscedasticity in nonparametric regression. Nonparametric Statistics, 51, 15-31.
Liero, H. (2008). A goodness-of-fit test for the regression in an accelerated life time model (Preprint). University of Potsdam, PF 60 15 53, D - 14415 Potsdam, Germany, to
appear: University of Potsdam, Institute of Mathematics.
Liero, H., and Liero, M. (2008). Testing the acceleration function in life time models. In N. L. F. Vonta M. Nikulin and C. Huber (Eds.), Statistical Models and Methods for
Biomedical and Technical Systems, to appear (p. 159-175). Boston: Birkhauser.
Downloads
Published
How to Cite
Issue
Section
License
The Austrian Journal of Statistics publish open access articles under the terms of the Creative Commons Attribution (CC BY) License.
The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed.
Copyright on any research article published by the Austrian Journal of Statistics is retained by the author(s). Authors grant the Austrian Journal of Statistics a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
Manuscripts should be unpublished and not be under consideration for publication elsewhere. By submitting an article, the author(s) certify that the article is their original work, that they have the right to submit the article for publication, and that they can grant the above license.
