A wavelet based significance test for periodicities in Indian monsoon rainfall

Azad, Sarita ; Narasimha, R. ; Sett, S. K. (2008) A wavelet based significance test for periodicities in Indian monsoon rainfall International Journal of Wavelets, Multiresolution and Information Processing, 6 (2). pp. 291-304. ISSN 0219-6913

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Official URL: http://www.worldscinet.com/abstract?id=pii:S021969...

Related URL: http://dx.doi.org/10.1142/S0219691308002355


This paper is a sequel to a recent study of the authors' that uses a combination of multiresolution analysis (MRA) and classical Fourier spectral methods, to identify 17 peaks in the power spectral density of the Homogeneous Indian Monsoon (HIM) rainfall time series constructed in Ref. 1. Here we propose a new procedure for testing the statistical significance of these peaks. In this procedure, using MRA the stationary component of the rainfall time series is first identified. Then (partially) reconstructed time series are derived over each scale band in the stationary component. For each of these time series an appropriately colored reference spectrum is derived. The significance of the detected peaks is then determined using a Χ2 test against the reference spectra, which together represent a noise process spectrally close to rainfall. It is concluded that HIM rainfall exhibits 10 statistically significant periodicities at a confidence level of 99.9%.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing.
Keywords:Multiresolution Analysis; Periodicities; Significance Test; Homogeneous Indian Monsoon Rainfall
ID Code:67533
Deposited On:31 Oct 2011 06:06
Last Modified:31 Oct 2011 06:06

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