Modeling Satellite Ozone Data

References

• Aitkens , A. C. 1956 . Determinants and Matrices , London : Oliver and Boyd .
   Google Scholar
• Bartlett , M. S. 1955 . An Introduction to Stochastic Processes , Cambridge , , UK : Cambridge University Press .
   Google Scholar
• Bartlett , M. S. 1967 . “Inference and Stochastic Processes,” . Journal of the Royal Statistical Society , 130 : 457 – 477 . Ser. A
   Google Scholar
• Bartlett , M. S. 1968 . “A Further Note on Nearest-Neighbor Models,” . Journal of the Royal Statistical Society , 131 : 579 – 580 . Ser. A
   Google Scholar
• Bartlett , M. S. 1971 . “Physical Nearest-Neighbor Models and Non-Linear Time Series,” . Journal of Applied Probability , 8 : 222 – 232 .
   Web of Science ®Google Scholar
• Bartlett , M. S. 1972 . “Physical Nearest-Neighbor Models and Non-Linear Time Series II: Further Discussion of Approximate Solutions and Exact Equations,” . Journal of Applied Probability , 9 : 76 – 86 .
   Google Scholar
• Basu , S. and Reinsel , G. C. 1993 . “Properties of the Spatial Unilateral First-Order ARMA Model,” . Advances in Applied Probability , 25 : 631 – 648 .
   Web of Science ®Google Scholar
• Basu , S. and Reinsel , G. C. 1994 . “Regression Models With Spatially Correlated Errors,” . Journal of the American Statistical Association , 89 : 88 – 99 .
   Web of Science ®Google Scholar
• Besag , J. E. 1974 . “Spatial Interaction and the Statistical Analysis of Lattice Systems,” . Journal of the Royal Statistical Society , 36 : 192 – 225 . Ser. B
   Google Scholar
• Bojkov , R. D. , Bishop , L. , Hill , W. J. , Reinsel , G. C. and Tiao , G. C. 1990 . “A Statistical Trend Analysis of Revised Dobson Total Ozone Data Over the Northern Hemisphere,” . Journal of Geophysical Research , 95 : 9795 – 9807 .
   Google Scholar
• Cliff , A. D. , Haggett , P. , Ord , J. K. , Bassett , K. A. and Davies , R. B. 1975 . Elements of Spatial Structure: A Quantitative Approach , New York : Cambridge University Press .
   Google Scholar
• Cliff , A. D. and Ord , J. K. 1975 . “Space-Time Modeling With an Application to Regional Forecasting,” . Transactions of the Institute of British Geographers , 66 : 119 – 128 .
   Web of Science ®Google Scholar
• Farman , J. C. , Gardiner , B. G. and Shanklin , J. D. 1985 . “Large Losses of Total Ozone in Antarctica Reveal Seasonal CIOx/NOx Interaction,” . Nature , 315 : 207 – 210 .
   Web of Science ®Google Scholar
• Good , I. J. 1950 . “On the Inversion of Circular Matrices,” . Biometrika , 37 : 185 – 186 .
   PubMed Web of Science ®Google Scholar
• Grenander , U. and Rosenblatt , M. 1957 . Statistical Analysis of Stationary Time Series , New York : John Wiley .
   Google Scholar
• Miller , A. J. , Nagatani , R. M. , Tiao , G. C. , Niu , X-F. , Reinsel , G. C. , Wuebbles , D. and Grant , K. 1992 . “Comparisons of Observed Ozone and Temperature Trends in the Lower Stratosphere,” . Geophysical Research Letters , 19 : 929 – 932 .
   Web of Science ®Google Scholar
• Niu , X-F. 1993 . “Asymptotic Properties of Maximum Likelihood Estimates in a Class of Space-Time Regression Models,” , Florida State University, Dept. of Statistics . Technical Report 874
   Google Scholar
• Niu , X-F. , Frederick , J. E. , Stein , M. L. and Tiao , G. C. 1992 . “Trends in Column Ozone Based on TOMS Data: Dependence on Month, Latitude and Longitude,” . Journal of Geophysical Research , 97 : 14661 – 14669 .
   Web of Science ®Google Scholar
• Niu , X-F. and Stein , L. M. “Space-Time ARMA Models for Satellite Ozone Data,” . Proceedings of the 22th Symposium on the Interface, Computer Science and Statistics . pp. 225 – 234 .
   Google Scholar
• Pfeifer , P. E. and Deutsch , S. J. 1980a . “A Three-Stage Iterative Procedure for Space-Time Modeling,” . Technometrics , 22 : 35 – 47 .
   Web of Science ®Google Scholar
• Pfeifer , P. E. and Deutsch , S. J. 1980b . “Identification and Interpretation of First-Order Space-Time ARMA Models,” . Technometrics , 22 : 397 – 408 .
   Web of Science ®Google Scholar
• Reinsel , G. C. , Tiao , G. C. , Ann , S. K. , Pugh , M. , Basu , S. , DeLuisi , J. J. , Mateer , C. L. , Miller , A. J. , Connell , P. S. and Wuebbles , D. J. 1988 . “An Analysis of the 7-Year Record of SBUV Satellite Ozone Data: Global Profile Features and Trends in Total Ozone,” . Journal of Geophysical Research , 93 : 1689 – 1703 .
   Web of Science ®Google Scholar
• Reinsel , G. C. , Tiao , G. C. , Wang , M. N. , Lewis , R. and Nychka , D. 1981 . “Statistical Analysis of Stratospheric Ozone Data for the Detection of Trends,” . Atmospheric Environment , 15 : 1569 – 1577 .
   Web of Science ®Google Scholar
• Stolarski , R. S. , Krueger , A. J. , Schoeberl , M. R. , McPeters , R. D. , Newman , P. A. and Alert , J. C. 1986 . “Nimbus 7 Satellite Measurements of the Springtime Antarctic Ozone Decrease,” . Nature , 322 : 808 – 811 .
   Web of Science ®Google Scholar
• Stolarski , R. S. , Bloomfield , P. , McPeters , R. and Herman , J. R. 1991 . “Total Ozone Trends Deduced From NIMBUS 7 TOMS Data,” . Geophysical Research Letters , 18 : 1015 – 1018 .
   Web of Science ®Google Scholar
• Stolarski , R. S. , Bojkov , R. , Bishop , L. , Zerefos , C. , Staehelin , J. and Zawodny , J. 1992 . “Measured Trends in Stratospheric Ozone,” . Science , 256 : 342 – 349 .
   PubMed Web of Science ®Google Scholar
• Tiao , G. C. and Grupe , M. R. 1980 . “Hidden Periodic Autoregressive-Moving Average Models in Time Series Data,” . Biometrika , 67 : 365 – 373 .
   Web of Science ®Google Scholar
• Tjøstheim , D. 1978 . “Statistical Spatial Series Modeling,” . Advances in Applied Probability , 10 : 130 – 154 .
   Web of Science ®Google Scholar
• Tjøstheim , D. 1981 . “Autoregressive Modeling and Spectral Analysis of Array Data in the Plane,” . IEEE Transactions on Geoscience and Remote Sensing , GE-19 : 15 – 24 .
   Web of Science ®Google Scholar
• Tjøstheim , D. 1983 . “Statistical Spatial Series Modeling II: Some Further Results on Unilateral Processes,” . Advances in Applied Probability , 15 : 562 – 584 .
   Web of Science ®Google Scholar
• Whittle , P. 1954 . “On Stationary Processes in the Plane,” . Biometrika , 41 : 434 – 449 .
   Web of Science ®Google Scholar