Goodness-of-fit tests for multilook polarimetric radar data based on the mellin transform

IEEE Transactions on Geoscience and Remote Sensing

Volumn 49, Issue 7, 2011, Pages 2764-2781

  Anfinsen, Stian Normann ^a   Doulgeris, Anthony Paul ^a   Eltoft, Torbjørn ^a  

^a UNIVERSITY OF TROMSØ   (Norway)

Author keywords

Goodness of fit; log statistics; matrix variate statistics; Mellin transform (MT); parameter estimation; probability density functions (PDFs); radar polarimetry; synthetic aperture radar (SAR)

Indexed keywords

GOODNESS OF FIT; LOG STATISTICS; MATRIX-VARIATE STATISTICS; MELLIN TRANSFORM (MT); PROBABILITY DENSITIES; RADAR POLARIMETRY;

COMPUTER SIMULATION; COVARIANCE MATRIX; IMAGING SYSTEMS; METADATA; MONTE CARLO METHODS; PARAMETER ESTIMATION; POLARIMETERS; POLAROGRAPHIC ANALYSIS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; STATISTICAL TESTS; STATISTICS; SYNTHETIC APERTURES;

SYNTHETIC APERTURE RADAR;

DATA ACQUISITION; FOURIER TRANSFORM; HYPOTHESIS TESTING; MATRIX; MONTE CARLO ANALYSIS; NUMERICAL MODEL; PARAMETERIZATION; POLARIZATION; PROBABILITY DENSITY FUNCTION; RADAR IMAGERY; RADARSAT; SAMPLING; STATISTICAL ANALYSIS; SYNTHETIC APERTURE RADAR; TERBUTHYLAZINE;

EID: 79957636618     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2010.2104158     Document Type: Article

References (39)

1. C. Oliver and S. Quegan, Understanding Synthetic Aperture Radar Images, 2nd ed. Raleigh, NC: SciTech Publ., 2004.
2. E. Jakeman and P. N. Pusey, "A model for non-Rayleigh sea echo," IEEE Trans. Antennas Propag., vol. 24, no. 6, pp. 806-814, Nov. 1976.
3. A. C. Frery, H.-J. Müller, C. C. F. Yanasse, and S. J. S. Sant'Anna, "A model for extremely heterogeneous clutter," IEEE Trans. Geosci. Remote Sens., vol. 35, no. 3, pp. 648-659, May 1997. (Pubitemid 127771102)
4. N. R. Goodman, "Statistical analysis based on a certain multivariate complex Gaussian distribution (an introduction)," Ann. Math. Statist., vol. 34, no. 1, pp. 152-177, Mar. 1963.
5. J.-S. Lee, D. L. Schuler, R. H. Lang, and K. J. Ranson, "K-distribution for multi-look processed polarimetric SAR imagery," in Proc. IEEE IGARSS, Pasadena, CA, Aug. 1994, vol. 4, pp. 2179-2181.
6. C. C. Freitas, A. C. Frery, and A. H. Correia, "The polarimetric G distribution for SAR data analysis," Environmetrics, vol. 16, no. 1, pp. 13-31, Feb. 2005. (Pubitemid 40141388)
7. L. Bombrun and J.-M. Beaulieu, "Fisher distribution for texture modeling of polarimetric SAR data," IEEE Geosci. Remote Sens. Lett., vol. 5, no. 3, pp. 512-516, Jul. 2008.
8. A. P. Doulgeris and T. Eltoft, "Scale mixture of Gaussian modelling of polarimetric SAR data," EURASIP J. Adv. Signal Process., vol. 2010, pp. 1-12, Jan. 2010.
9. J. Heinrich, "Pitfalls of goodness-of-fit from likelihood," in Proc. PHYSTAT Conf. Statist. Problems Part. Phys., Astrophys., Cosmology, Stanford, CA, Oct. 2003, pp. 52-55.
10. A. Grant, "Rayleigh fading multi-antenna channels," EURASIP J. Appl. Signal Process., vol. 3, no. 1, pp. 316-329, Jan. 2002. (Pubitemid 34459940)
11. G. Li and A. Papadopoulos, "A note on goodness of fit test using moments," Statistica, vol. 62, no. 1, pp. 71-86, 2002.
12. S. N. Anfinsen, "Statistical analysis of multilook polarimetric radar images with the Mellin transform," Ph.D. dissertation, Univ. Tromsø, Tromsø, Norway, May, 2010.
13. S. N. Anfinsen and T. Eltoft, "Application of the matrix-variate Mellin transform to analysis of polarimetric radar images," IEEE Trans. Geosci. Remote Sens., vol. 49, no. 7, Jul. 2011, 15 pp., in press.
14. J.-M. Nicolas, "Introduction aux statistique de deuxième espèce: Application des logs-moments et des logs-cumulants á l'analyze des lois d'images radar," Traitement du Signal, vol. 19, no. 3, pp. 139-167, 2002, English translation in [12].
15. J.-M. Nicolas, "Application de la transformée de Mellin: Étude des lois statistiques de l'imagerie cohérente," Ecole Nationale Supérieure des Télécommunications, Paris, France, Tech. Rep. 2006D010, 2006.
16. C. Tison, J.-M. Nicolas, F. Tupin, and H. Maître, "A new statistical model for Markovian classification of urban areas in high-resolution SAR images," IEEE Trans. Geosci. Remote Sens., vol. 42, no. 10, pp. 2046-2057, Oct. 2004.
17. L. Mattner, "What are cumulants?" Documenta Mathematica, vol. 4, pp. 601-622, 1999.
18. R. B. D'Agostino and M. A. Stephens, Goodness-of-Fit Techniques, vol. 68. New York: Marcel Dekker, 1986, ser. Statistics: Textbooks and monographs.
19. J. C.W. Rayner, O. Thas, and D. J. Best, Smooth Tests of Goodness of Fit, 2nd ed. New York: Wiley, 2009.
20. A. van der Vaart, Asymptotic Statistics. Cambridge, U.K.: Cambridge Univ. Press, 1998.
21. E. del Barrio, P. Deheuvels, and S. van de Geer, Lectures on Empirical Processes: Theory and Statistical Applications. Zurich, Switzerland: Eur. Math. Soc., 2007.
22. A. DasGupta, "Goodness of fit with estimated parameters," in Asymptotic Theory of Statistics and Probability. New York: Springer-Verlag, 2008, ch. 28.
23. B. Efron and R. J. Tibshirani, An Introduction to the Bootstrap. Boca Raton, FL: Chapman & Hall, 1993.
24. P. E. Greenwood and M. S. Nikulin, A Guide to Chi-Squared Testing. New York: Wiley, 1996, ch. 2.
25. E. Conte, A. De Maio, and A. Farina, "Statistical tests for higher order analysis of radar clutter," IEEE Trans. Aerosp. Electron. Syst., vol. 41, no. 1, pp. 205-218, Jan. 2005.
26. T. W. Epps, "Tests for location-scale families based on the empirical characteristic function," Metrika, vol. 62, no. 1, pp. 99-114, Sep. 2005. (Pubitemid 41315031)
27. S. G. Meintanis, "Goodness-of-fit tests and minimum distance estimation via optimal transformation to uniformity," J. Statist. Plan. Inference, vol. 139, no. 2, pp. 100-108, Feb. 2009.
28. C. E. Marchetti and G. S. Mudholkar, "Characterization theorems and goodness-of-fit tests," in Goodness-of-Fit Tests and Model Validity, C. Huber-Carol, N. Balakrishnan, M. S. Nikulin, and M. Mesbah, Eds. New York: Birkhaüser, 2002, ch. 10.
29. R. Natarajan and G. S. Mudholkar, "Moment-based goodness-of-fit tests for the inverse Gaussian distribution," Technometrics, vol. 46, no. 3, pp. 339-347, Aug. 2004.
30. F. Pascal, P. Forster, J.-P. Ovarlez, and P. Larzabal, "Performance analysis of covariance matrix estimates in impulsive noise," IEEE Trans. Signal Process., vol. 56, no. 6, pp. 2206-2217, Jun. 2008. (Pubitemid 351795877)
31. M. Kendall, Kendall's Advanced Theory of Statistics: Distribution Theory, vol. 1, 5th ed. London: U.K., Griffin, 1987, ch. 10.
32. M. Bilodeau and D. Brenner, Theory of Multivariate Statistics. New York: Springer-Verlag, 1999, ser. Springer texts in statistics.
33. W. C. Parr and W. R. Schucany, "Minimum distance and robust estimation," J. Amer. Statist. Assoc., vol. 75, no. 371, pp. 616-624, Sep. 1980.
34. D. D. Boos, "Minimum distance estimators for location and goodness of fit," J. Amer. Statist. Assoc., vol. 76, no. 375, pp. 663-670, Sep. 1981.
35. R. P. Brent, Algorithms for Minimization Without Derivatives. Englewood Cliffs, NJ: Prentice-Hall, 1973.
36. M. P. Wand and M. C. Jones, Kernel Smoothing. London, U.K.: Chapman & Hall, 1995.
37. S. N. Anfinsen, A. P. Doulgeris, and T. Eltoft, "Estimation of the equivalent number of looks in polarimetric synthetic aperture radar imagery," IEEE Trans. Geosci. Remote Sens., vol. 47, no. 11, pp. 3795-3809, Nov. 2009.
38. J.-S. Lee and E. Pottier, Polarimetric Radar Imaging: From Basics to Applications. Boca Raton, FL: CRC Press, 2009, ser. Optical Science and Engineering, no. 143.
39. J.-S. Lee, M. R. Grunes, E. Pottier, and L. Ferro-Famil, "Unsupervised terrain classification preserving polarimetric scattering characteristics," IEEE Trans. Geosci. Remote Sens., vol. 42, no. 4, pp. 722-731, Apr. 2004.