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FUSEK, M.
Original Title
Statistical power of goodness-of-fit tests for type I left-censored data
Type
journal article in Web of Science
Language
English
Original Abstract
Type I doubly left-censored data often arise in environmental studies. In this paper, the power of the most frequently used goodness-of-fit tests (Kolmogorov-Smirnov, Cramér-von Mises, Anderson-Darling) is studied considering various sample sizes and degrees of censoring. Attention is paid to testing of the composite hypothesis that the data has a specific distribution with unknown parameters, which are estimated using the maximum likelihood method. Performance of the tests is assessed by means of Monte Carlo simulations for several distributions, specifically the Weibull, lognormal and gamma distributions, which are among the most frequently used distributions for modelling of environmental data. Finally, the tests are used for identification of the distribution of musk concentrations if fish tissue.
Keywords
censored data, goodness-of-fit test, empirical power, type I left-censoring
Authors
Released
7. 3. 2023
Publisher
Austrian Statistical Society
ISBN
1026-597X
Periodical
Austrian Journal of Statistics
Year of study
52
Number
1
State
Republic of Austria
Pages from
51
Pages to
61
Pages count
11
URL
https://www.ajs.or.at/index.php/ajs/article/view/1348
Full text in the Digital Library
http://hdl.handle.net/11012/213632
BibTex
@article{BUT175089, author="Michal {Fusek}", title="Statistical power of goodness-of-fit tests for type I left-censored data", journal="Austrian Journal of Statistics", year="2023", volume="52", number="1", pages="51--61", doi="10.17713/ajs.v52i1.1348", issn="1026-597X", url="https://www.ajs.or.at/index.php/ajs/article/view/1348" }