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Journal of the American Statistical Association Volume 75, 1980 - Issue 370
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Theory and Method

Testing for Periodicity in a Time Series

Andrew F. Siegel Department of Statistics, Princeton University, Princeton, NJ, 08544, USA
Pages 345-348 | Received 01 Feb 1978, Published online: 12 Mar 2012

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Crossref
Andrew F. Siegel. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
J. Keith Ord. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
N.G. Patterson, N.A.N. Bertler, T.R. Naish & U. Morgenstern. (2017) ENSO variability in the deuterium-excess record of a coastal Antarctic ice core from the McMurdo Dry Valleys, Victoria Land. Annals of Glaciology 41, pages 140-146.
Crossref
Andrew F. Siegel. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Olga C. Penalba & Walter M. Vargas. (2004) Interdecadal and interannual variations of annual and extreme precipitation over central‐northeastern Argentina. International Journal of Climatology 24:12, pages 1565-1580.
Crossref
J.Keith Ord. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Patricia Grambsch, William H. Meller & P. Victor Grambsch. (2002) Periodograms and pulse detection methods for pulsatile hormone data. Statistics in Medicine 21:16, pages 2331-2344.
Crossref
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Crossref
Johan Nyberg, Antoon Kuijpers, Björn A. Malmgren & Helmar Kunzendorf. (2017) Late Holocene Changes in Precipitation and Hydrography Recorded in Marine Sediments from the Northeastern Caribbean Sea. Quaternary Research 56:1, pages 87-102.
Crossref
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Crossref
B. Diekmann, G. Kuhn, A. Mackensen, R. Petschick, D. K. Fütterer, R. Gersonde, C. Rühlemann & H.-S. Niebler. 1999. Use of Proxies in Paleoceanography. Use of Proxies in Paleoceanography 285 313 .
M. Elizabeth Holmes, Ralph R. Schneider, Peter J. Müller, Monika Segl & Gerold Wefer. (1997) Reconstruction of past nutrient utilization in the Eastern Angola Basin based on sedimentary 15 N/ 14 N ratios . Paleoceanography 12:4, pages 604-614.
Crossref
B. Percival. Donald. 1994. Statistical Methods for Physical Science. Statistical Methods for Physical Science 313 348 .
J. Garrido, J. A. Garc�a & V. L. Mateos. (1994) Effect of seasonal adjustment on empirical rainfall distributions. Theoretical and Applied Climatology 49:1, pages 41-51.
Crossref
E. Reschenhofer & I. M. Bomze. (2008) TESTING FOR WHITE NOISE AGAINST MULTIMODAL SPECTRAL ALTERNATIVES. Journal of Time Series Analysis 13:5, pages 435-439.
Crossref
K.‐S. Lii & T.‐H. Tsou. (2008) DETECTING SINUSOIDS IN NON‐GAUSSIAN NOISE. Journal of Time Series Analysis 13:5, pages 391-409.
Crossref
J. Garrido & J. A. Garc�a. (1992) Periodic signals in Spanish monthly precipitation data. Theoretical and Applied Climatology 45:2, pages 97-106.
Crossref
R. B. Holmes. (1991) On Random Correlation Matrices. SIAM Journal on Matrix Analysis and Applications 12:2, pages 239-272.
Crossref
Keh-shin Lii & Tai-houn Tsou. (1989) Tests Of Hidden Periodicities In Nongaussian Noise. Tests Of Hidden Periodicities In Nongaussian Noise.
Andrew F. Siegel & Jan Beirlant. 1987. Contributions to the Theory and Application of Statistics. Contributions to the Theory and Application of Statistics 179 196 .
Andrew F. Siegel. (1985) Modelling Data Containing Exact Zeroes Using Zero Degrees of Freedom. Journal of the Royal Statistical Society Series B: Statistical Methodology 47:2, pages 267-271.
Crossref
M. Hinich. (1982) Detecting a hidden periodic signal when its period is unknown. IEEE Transactions on Acoustics, Speech, and Signal Processing 30:5, pages 747-750.
Crossref

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