Some results on the variogram in time series analysis

Quality and Reliability Engineering International

Volumn 25, Issue 8, 2009, Pages 947-960

  Khachatryan, Davit ^a   Bisgaard, Søren ^a,b  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Autocorrelation function; Autoregressive integrated moving average process; Stationarity; Time series; Variogram

Indexed keywords

ANALYTICAL STRUCTURE; AUTOCORRELATION FUNCTIONS; AUTOREGRESSIVE INTEGRATED MOVING AVERAGE PROCESS; DATA SETS; GRAPHICAL TOOLS; INDUSTRIAL PROCESSS; MONITORING AND CONTROL; NONSTATIONARY PROCESS; SIMULATED DATASETS; STATIONARITY; VARIOGRAMS;

CORRELATION DETECTORS; REGRESSION ANALYSIS; STANDARDIZATION; TIME SERIES;

TIME SERIES ANALYSIS;

EID: 73449111264     PISSN: 07488017     EISSN: 10991638     Source Type: Journal    
DOI: 10.1002/qre.1013     Document Type: Article

References (9)

1. Box GEP, Jenkins GM, Reinsel GC. Time Series Analysis: Forecasting and Control. Prentice-Hall: Englewood Cliffs, NJ, 1994.
2. Jowett GH. The accuracy of systematic sampling from conveyer belts. Applied Statistics 1952; 1:50-59.
3. Matheron G. Principles of Geostatistics. Economic Geology 1963; 58(8):1246-1266.
4. Cressie N. Geostatistics. The American Statistician 1989; 43(4):197-202.
5. Haslett J. On the sample variogram and sample autocovariance for non-stationary time series. The Statistician 1997; 46(4):475-485.
6. Box GEP, Luceno A. Statistical Control by Monitoring and Feedback Adjustment. Wiley Series in Probability and Statistics. Wiley: New York, 1997.
7. Cressie N. Statistics for Spatial Data (revised edition). Wiley Series in Probability and Mathematical Statistics. Wiley: New York, 1993.
8. Bisgaard S, Khachatryan D. Asymptotic confidence intervals for variograms of stationary time series; submitted for publication.
9. Brockwell PJ, Davis RA. Time Series: Theory and Methods. Springer: Berlin, 1987.