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Statistical inference for evolving periodic functions

delete2007-08-02
delete31
PRE
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M
Marc G. Genton *
P
Peter Hall
DOI:10.1111/j.1467-9868.2007.00604.xdelete
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摘要

摘要

En 中文
In the study of variable stars, where the light reaching an observer fluctuates over time, it can be difficult to explain the nature of the variation unless it follows a regular pattern. In this respect, so-called periodic variable stars are particularly amenable to analysis. There, radiation varies in a perfectly periodic fashion, and period length is a major focus of interest. We develop methods for conducting inference about features that might account for departures from strict periodicity. These include variation, over time, of the period or amplitude of radiation. We suggest methods for estimating the parameters of this evolution, and for testing the hypothesis that the evolution is present. This problem has some unusual features, including subtle issues of identifiability.
Keyword:
amplitude
astronomy
bandwidth
bootstrap
kernel methods
light curve
non-parametric regression
parametric inference
time transformation
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期刊

J
Journal of the Royal Statistical Society Series B-Statistical Methodology
IF:
3.6
论文数:
1.5K
被引数:
3.2W

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