In spite of their practicability, most classical models are not versatile but rather restrictive in their application. Consequently, their applicability for a particular location depends largely on validation against actual measurements. Global solar radiation parameterizations have been evaluated in this study for a lowland and a mountain site. Tested models were broadly categorised as cloud-b...

Extensions of the Borsuk-Ulam Theorem by Timothy Prescott

Hodrick and Prescott (1997) proposed a smoothing method for economic time series that is very similar to graduation, it is usually known as the H-P method. They acknowledged that this method is equivalent to graduation methods and that it had been in use among actuaries. The literature on smoothing methods based on their approach grew separately from the graduation literature, due to the useful...

The irregular and slope disturbances, εt and ζt, respectively, are mutually independent and the notation NID(0, σ2) denotes normally and independently distributed with mean zero and variance σ2. The signal-noise ratio, q = σ2 ζ/σ 2 ε , plays the key role in determining how observations should be weighted for prediction and signal extraction. The higher is q, the more past observations are disco...

In this paper, an outlier detection method based on radial basis functions–principal component analysis (RBF-PCA) approach and Prescott method, a statistical detection approach, is proposed to detect the outlier in the complex system without clear mechanisms. Making full use of the capacity of neural networks on nonlinear mapping and the effect of Prescott method on outlier detection in linear ...