Testing for homogeneity of variance in time series: Long memory, wavelets, and the Nile River

Water Resources Research

Volumn 38, Issue 5, 2002, Pages 12-1-12-16

  Whitcher, B ^a   Byers, S D ^b   Guttorp, P ^c   Percival, D B ^c  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^b AT AND T LABS RESEARCH   (United States)

^c UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Change point; Multiresolution; Nile River; Time series; Variance; Wavelets

Indexed keywords

CORRELATION METHODS; DATA RECORDING; RIVERS; TIME SERIES ANALYSIS; WATER LEVELS; WAVELET TRANSFORMS; WHITE NOISE;

HOMOGENEITY; MEMORY PROCESSES;

STATISTICAL TESTS;

HISTORICAL RECORD; RIVER WATER; TIME SERIES; WATER LEVEL; WAVELET ANALYSIS; WHITE NOISE;

EGYPT; NILE RIVER;

EID: 0036563021     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2001wr000509     Document Type: Article

References (58)

1. Inferences about the parameters of a time series model with changing variance
2. Testing for a change of the long-memory parameter
3. Techniques for testing the constancy of regression relationships over time
4. Time-invariant wavelet de-noising
5. Robust methods for detection of shifts of the innovation variance of a time series
6. Nilometers, El Niño, and climate variability
7. An introduction to long-memory time series models and fractional differencing
8. Fractional differencing
9. Tests for variance shift at an unknown time point
10. Detecting shifts of parameter in gamma sequences with applications to stock price and air traffic flow analysis
11. Long-term storage capacity of reservoirs
12. Use of cumulative sums of squares for retrospective detection of changes of variance
13. Flood-stage records of the river Nile
14. The effect of serial correlation on the performance of CUSUM tests
15. Role of coherent structures in the stochastic-dynamic variability of precipitation
16. Wavelet analysis for geophysical applications
17. On a measure of lack of fit in time series models
18. A search of the source of the Nile's change-points
19. A theory for multiresolution signal decomposition: The wavelet representation
20. Fractional Brownian motions, fractional noises and applications
21. Some long-run properties of geophysical records
22. Wavelet analysis and synthesis of stationary long-memory processes
23. Fractional Brownian motion and fractional Gaussian noise in subsurface hydrology: A review, presentation of fundamental properties, and extensions
24. The stationary Wavelet transform and some statistical applications
25. Fourier methods in the study of variance fluctuations in time series analysis
26. Change-point approach to data analytic wavelet thresholding
27. On estimation of the wavelet variance
28. Long-memory processes, the Allan variance and wavelets
29. Analysis of subtidal coastal sea level fluctuations using wavelets
30. Bayesian change-point analysis in hydrometeorological time series, part 1, The normal model revisited
31. The discrete wavelet transform: Wedding the à trous and Mallat algorithms
32. EDF statistics for goodness of fit and some comparisons
33. The effect of serial correlation on tests for parameter change at unknown time
34. Correlation structure of the discrete wavelet coefficients of fractional Brownian motion
35. Mémoire sur l'histoire du Nil
36. Outliers, level shifts, and variance changes in time series
37. Jump and sharp cusp detection by wavelets
38. Wavelet analysis of covariance with application to atmospheric time series
39. Multiscale detection and location of multiple variance changes in the presence of long memory
40. Changes of variance in first-order autoregressive time series models - With an application