Polynomial Smoothing—Linear VS Cubic
作者:
JamesK. Luers,
RobertH. Wenning,
期刊:
Technometrics
(Taylor Available online 1971)
卷期:
Volume 13,
issue 3
页码: 589-600
ISSN:0040-1706
年代: 1971
DOI:10.1080/00401706.1971.10488820
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Polynomial smoothing to estimate the derivative of a large sequence of sampled data requires the proper choice of the degree polynomial and the smoothing interval. Linear and cubic polynomial smoothing are compared. It is found that a linear polynomial will produce nearly the same first derivative as a cubic polynomial if the linear smoothing interval is properly chosen. A formula for the proper choice of the smoothing interval is derived. The technique is applied to a problem in meteorology and consistent results obtained.
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