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Theory and Method

Prediction of Spatial Cumulative Distribution Functions Using Subsampling

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Pages 86-97 | Received 01 May 1996, Published online: 17 Feb 2012

References

  • Conover , W. J. 1980 . Practical Nonparametric Statistics, , 2nd ed. , New York : Wiley .
  • Cressie , N. A. C. 1993 . Statistics for Spatial Data, , rev. ed. , New York : Wiley .
  • Cressie , N. A. C. 1996 . “Change of Support and the Modifiable Areal Unit Problem,” . Geographical Systems , 3 : 159 – 180 .
  • Cressie , N. and Read , T. R. C. 1989 . “Spatial Data Analysis of Regional Counts,” . Biometrical Journal , 31 : 699 – 719 .
  • Diggle , P. J. , Tawn , J. A. and Moyeed , R. A. “Model-Based Geostatistics” . Applied Statistics , 47 (in press), (with discussion)
  • Gidas , B. 1988 . “Consistency of Maximum Likelihood and Pseudo-Likelihood Estimators for Gibbs distributions,” . In Stochastic Differential Systems, Stochastic Control Theory and Applications , Vol. 10 , 129 – 145 . New York : Springer-Verlag .
  • Gumpertz , M. L. , Tingey , D. T. and Hogsett , W. E. 1982 . “Precision and Accuracy of Visual Foliar Injury Assessments,” . Journal of Environmental Quality , 11 : 549 – 553 .
  • Hall , P. and Jing , B-Y. 1996 . “On the Sample Re-Use Methods,” . Journal of the Royal Statistical Society , 58 : 727 – 738 . Ser. B
  • Hall , P. and Patil , P. 1994 . “Properties of Nonparametric Estimators of Autocovariance Function for Stationary Random Fields,” . Probability Theory and Related Fields , 99 : 399 – 424 .
  • Hardle , W. and Tuan , P. D. 1986 . “Some Theory on M Smoothing of Time Series,” . Journal of Time Series Analysis , 7 : 191 – 204 .
  • Horsfall , J. G. and Barratt , R. W. 1945 . “An Improved Grading System for Measuring Plant Disease,” . Phytopathology , 35 : 655
  • Kaiser , M. , Hsu , N. J. , Cressie , N. and Lahiri , S. N. 1996 . “Inference for Spatial Processes Using Subsampling: A Simulation Study,” . Environmetrics , 8 : 485 – 502 .
  • Kulman , H. M. 1971 . “Effects of Insect Defoliation on Growth and Mortality of Trees,” . Annual Review of Entomology , 16 : 289 – 324 .
  • Lahiri , S. N. 1996a . “On Inconsistency of Estimators Under Infill Asymptotics for Spatial Data,” . Sankhya , 58 : 403 – 417 . Ser. A
  • Lahiri , S. N. 1999 . “Asymptotic Distribution of the Empirical Spatial Cumulative Distribution Function Predictor and Prediction Bands Based on a Subsampling Method,” . Probability Theory and Related Fields ,
  • Lewis , T. E. and Conkling , B. L. , eds. 1994 . “Forest Health Monitoring Southeast Loblolly/Shortleaf Pine Demonstration Interim Report,” , Washington , DC : U.S. Environmental Protection Agency . EPA/620/R-94/006
  • Majure , J. J. , Cook , D. , Cressie , N. , Kaiser , M. S. , Lahiri , S. N. and Symanzik , J. 1996 . “Spatial CDF estimation and visualization with applications to forest health monitoring,” . Computing Science and Statistics , 27 : 93 – 101 .
  • Mardia , K. V. and Marshall , R. J. 1984 . “Maximum Likelihood Estimation of Models for Residual Covariance in Spatial Regression,” . Biometrika , 71 : 135 – 146 .
  • Messer , J. J. , Linthurst , R. A. and Overton , W. S. 1991 . “An EPA Program for Monitoring Ecological Status and Trends,” . Environmental Monitoring Assessment , 17 : 67 – 78 .
  • Miller , P. R. , Parameter , J. R. , Taylor , O. C. and Cardiff , E. A. 1963 . “Ozone Injury to the Foliage of Pinus ponderosa,” . Phytopathology , 3 : 1072 – 1076 .
  • Morris , M. D. and Ebey , S. F. 1984 . “An Interesting Property of the Sample Mean Under a First-Order Autoregressive Model,” . The American Statistician , 38 : 127 – 129 .
  • Overton , W. S. 1989 . “Effects of Measurements and Other Extraneous Errors on Estimated Distribution Functions in the National Surface Water Surveys,” , Oregon State University, Dept. of Statistics . Technical Report 129
  • Pickard , D. K. 1987 . “Inference for Discrete Markov Fields: The Simplest Nontrivial Case,” . Journal of the American Statistical Association , 82 : 90 – 96 .
  • Politis , D. and Romano , J. P. 1994 . “Large Sample Confidence Regions Based on Subsamples Under Minimal Assumptions,” . The Annals of Statistics , 22 : 2031 – 2050 .
  • Pollard , D. 1984 . Convergence of Stochastic Processes , New York : Springer-Verlag .
  • Possolo , A. 1991 . “Subsampling a Random Field,” . In Spatial Statistics and Imaging , Edited by: Possolo , A. 286 – 294 . Hayward , CA : Institute of Mathematical Statistics . IMS Lecture Notes Monograph Series 20
  • Pye , J. M. 1988 . “Impact of Ozone on the Growth and Yield of Trees: A Review,” . Journal of Environmental Quality , 17 : 347 – 360 .
  • Robinson , W. 1950 . “Ecological Correlations and the Behavior of Individuals,” . American Sociological Review , 15 : 351 – 357 .
  • Shen , W. and Louis , T. A. 1998 . “Triple-Goal Estimates in Two-Stage Hierarchical Models,” . Journal of the Royal Statistical Society , 60 : 455 – 471 . Ser. B
  • Sherman , M. and Carlstein , E. 1994 . “Nonparametric Estimation of the Moments of a General Statistic Computed From Spatial Data,” . Journal of the American Statistical Association , 89 : 496 – 500 .
  • Stein , M. L. 1990a . “Uniform Asymptotic Optimality of Linear Predictions of a Random Field Using an Incorrect Second-Order Structure,” . The Annals of Statistics , 18 : 839 – 861 .
  • Stein , M. L. 1990b . “Bounds on the Efficiency of Linear Predictions Using an Incorrect Covariance Function,” . The Annals of Statistics , 18 : 1116 – 1138 .
  • Stein , M. L. and Handcock , M. S. 1989 . “Some Asymptotic Properties of Kriging When the Covariance Function is Misspecified,” . Mathematical Geology , 21 : 171 – 190 .
  • Stevens , W. 1994 . “Implementation of a National Monitoring Program,” . Journal of Environmental Management , 42 : 1 – 29 .
  • Tallent-Halsell , N. G. , ed. 1994 . “Forest Health Monitoring. 1994 Field Methods Guide,” , Washington , DC : U.S. Environmental Protection Agency .

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