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TIME SERIES ANALYSIS

Estimating Mark Functions Through Spectral Analysis for Marked Point Patterns

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Pages 861-885 | Received 21 Jan 2005, Accepted 12 Oct 2005, Published online: 15 Feb 2007

References

  • Bloomfield , P. ( 1976 ). Fourier Analysis of Time Series: an Introduction . New York : Wiley .
  • Boeckenhauer , R. K. ( 2001 ). Estimating Nonlinear Functionals of a Random Field . Rice University, Ph.D. thesis .
  • Brillinger , D. R. ( 1997 ). Some wavelet analyses of point process data . University of California, Technical Report .
  • Cressie , N. ( 1993 ). Statistics for Spatial Data . New York : Wiley .
  • Daley , D. J. , Vere-Jones , D. ( 2003 ). An Introduction to the Theory of Point Processes. , 2nd ed. New York : Springer-Verlag .
  • Diggle , P. J. ( 1985 ). A kernel method for smoothing point process data . Appl. Statist. 34 : 138 – 147 . [CSA]
  • Diggle , P. J. ( 2003 ). Statistical Analysis of Spatial Point Patterns. , 2nd ed. London : Arnold .
  • Döhler , S. , Rüschendorf , L. ( 2003 ). Nonparametric estimation of regression functions in point process models . Statist. Infer. Stochastic Proces. 6 : 291 – 307 . [CSA] [CROSSREF]
  • Eubank , R. L. , Speckman , P. ( 1990 ). Curve fitting by polynomial-trigonometric regression . Biometrika 77 ( 1 ): 1 – 9 . [CSA] [CROSSREF]
  • Eubank , R. L. , Speckman , P. ( 1991 ). Convergence rates for trigonometric and polynomial-trigonometric regression estimators . Statist. Probab. Lett. 11 : 119 – 124 . [CSA] [CROSSREF]
  • Hammersley , J. M. , Handscomb , D. C. ( 1965 ). Monte Carlo Methods . London : Methuen & Co. Ltd .
  • Huang , H. C. , Cressie , N. ( 1996 ). Spatio-temporal prediction of snow water equivalent using the Kalman filter . Computat. Statist. Data Anal. 22 : 159 – 175 . [CSA] [CROSSREF]
  • Konev , V. , Pergamenshchikov , S. (2003). Sequential estimation of the parameters in a trigonometric regression model with the Gaussian coloured noise. Statist. Infer. Stochastic Proces. 6:215–235. [CSA] [CROSSREF]
  • Mugdadi , A. R. , Ahmad , I. A. ( 2004 ). A bandwidth selection for kernel density estimation of functions of random variables . Computat. Statist. Data Anal. 47 ( 1 ): 49 – 62 . [CSA] [CROSSREF]
  • Peng , R. D. , Schoenberg , F. P. , Woods , J. A. ( 2003 ). A multi-dimensional point process models for evaluating a wildfire hazard index . Research Report . [CSA]
  • Peng , R. D. , Schoenberg , F. P. , Woods , J. A. ( 2005 ). A space-time conditional intensity model for evaluating a wildfire hazard index . J. Amer. Statist. Assoc. 100 : 26 – 35 . [CSA] [CROSSREF]
  • Renshaw , E. ( 2002 ). Two-dimensional spectral analysis for marked point processes . Biometrical J. 44 : 718 – 745 . [CSA] [CROSSREF]
  • Renshaw , E. , Mateu , J. , Saura , F. ( 2006 ). Disentangling mark/point interaction in marked point processes . Computat Statist. Data Anal. in press . [CSA]

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