Régression avec résidus spatialement autocorrélés et recherche de la tendance spatiale

Bernard Chalmond

Statistique et analyse des données (1986)

  • Volume: 11, Issue: 2, page 1-25
  • ISSN: 0750-7364

How to cite

top

Chalmond, Bernard. "Régression avec résidus spatialement autocorrélés et recherche de la tendance spatiale." Statistique et analyse des données 11.2 (1986): 1-25. <http://eudml.org/doc/108936>.

@article{Chalmond1986,
author = {Chalmond, Bernard},
journal = {Statistique et analyse des données},
keywords = {spatially autocorrelated residuals; spatial trend; asymptotic distribution; approximated maximum likehood estimates; regression model; colored stationary spatial process; bicubic spline surface; colored spatial deviations},
language = {fre},
number = {2},
pages = {1-25},
publisher = {Association pour la statistique et ses illustrations},
title = {Régression avec résidus spatialement autocorrélés et recherche de la tendance spatiale},
url = {http://eudml.org/doc/108936},
volume = {11},
year = {1986},
}

TY - JOUR
AU - Chalmond, Bernard
TI - Régression avec résidus spatialement autocorrélés et recherche de la tendance spatiale
JO - Statistique et analyse des données
PY - 1986
PB - Association pour la statistique et ses illustrations
VL - 11
IS - 2
SP - 1
EP - 25
LA - fre
KW - spatially autocorrelated residuals; spatial trend; asymptotic distribution; approximated maximum likehood estimates; regression model; colored stationary spatial process; bicubic spline surface; colored spatial deviations
UR - http://eudml.org/doc/108936
ER -

References

top
  1. [1] ANDERSON T. W., The statistical analysis of times series, John-Wiley, 1971. Zbl0835.62074MR283939
  2. [2] DeBOOR C., Bicubic spline interpolation, J. Math. Phys., 41, p212-218, 1962. Zbl0108.27103MR158512
  3. [3] DIGGLE P. J., Discussion on Silverman's paper: Some aspects of spline smoothing approach to non-parametric curve fitting, JRSS B, 47, 1, p28-29, 1985. Zbl0606.62038MR805063
  4. [4] DURBIN J., Present position and potentiel developments: Some personal views. Time series analysis. JRSS A, 147, Part 2, p l61-173, 1984. Zbl0549.62058
  5. [5] CEA J., Optimisation, Dunod, 1971. Zbl0211.17402MR298892
  6. [6] CEA J. et GLOWINSKI R., Sur des méthodes d'optimisation par relaxation, RAIRO, R-3, p 5-32, 1973. Zbl0279.90033MR367765
  7. [7] CHALMOND B., Restauration stochastique et analyse d'une surface recouverte par une texture, Actes du 4eme congrès de Reconnaissance des Formes et d'Intelligence Artificielle, Tome 1, p l-14, AFCET-INRIA, 1984. 
  8. [8] CHALMOND B.Régression avec résidus spatialement autocorrélés: estimation par le maximum de vraisemblance, Journée de Statistique de l'ASU, 1984. 
  9. [9] GUYON X., Parameter estimation for stationary proces on a d-dimensinal lattice, Biometrika, 69, 1, p 95-105, 1982. Zbl0485.62107MR655674
  10. [10] GUYON X., Champs stationnaires sur Z2 : modèles, statistitiques et simulation, Prépublication Orsay T21, 1985. 
  11. [11] KASHYAP R.L. et CHELLAPA R., Estimation and choice of neighbors in spatial interaction models in image, IEEE Trans. Inf. Theory, IT-29, 1, p 60-72, 1983. Zbl0507.62082
  12. [12] LAWSON C. et HANSON R., Solving least squares problems, Prentice-Hall, 1974. Zbl0860.65028MR366019
  13. [13] MARDIA K.V. et MARSHALL R.J., Maximum likehood estimation of models for residual covariance in spatial regression, Biometrika, 71, 1, p l36-146, 1984. Zbl0542.62079MR738334
  14. [14] MARTIN R.J., Some aspects of experimental design and analysis when errors are correlated. Biometrika, 69, 3, P 497-512, 1982. Zbl0497.62067MR695205
  15. [15] ORD K., Estimation methods for models of spatial interaction. JASA, 70, p l20-126, 1975. Zbl0313.62063MR413393
  16. [16] PIERCE D., Least squares estimation in the regression model with autoregressive - moving average errors, Biometrika, 58, 2, p 299-312., 1971. Zbl0226.62066MR329169
  17. [17] PRENTER P., Splines and variational methods, Jonh-Wiley, 1971. Zbl0344.65044MR483270
  18. [18] WALD A., Note on the consistency of the maximum likehood estimates, Ann. Math. Stat., 20, p 595-601, 1949. Zbl0034.22902MR32169
  19. [19] WALKER A. M., Asymptotic properties of the least squares estimates of parameter of the spectrum of a stationary non-deterministic time series, J. Austr. Math. Soc., 35, 363-384, 1964. Zbl0124.10504MR171345
  20. [20] WHITTLE P., On stationary processes in the plane, Biometrika, 41, p 434-449, 1954. Zbl0058.35601MR67450

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.