Information geometric similarity measurement for near-random stochastic processes

IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.

Volumn 33, Issue 4, 2003, Pages 435-440

  Dodson, Christopher T J ^a   Scharcanski, Jacob ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

Author keywords

Gamma models; Information geometry; Multi symbol sequences; Random; Search; Stochastic process

Indexed keywords

COMPUTER SIMULATION; GEOMETRY; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES;

GAMMA MODELS; INFORMATION GEOMETRY; MULTISYMBOL SEQUENCES; RIEMANNIAN MANIFOLD; SIMILARITY MEASUREMENT;

INFORMATION THEORY;

EID: 0242386651     PISSN: 10834427     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCA.2003.809185     Document Type: Article

References (14)

1. K. Arawini and C. T. J. Dodson. (2002) Information geometric neighborhoods of randomness and geometry of the McKay bivariate gamma 3-manifold. [Online]. Available: http://www.ma.umist.ac.uk/kd/PREPRINTS/gamran.pdf.
2. S.-I. Amari, Differential Geometrical Methods in Statistics. Berlin, Germany: Springer-Verlag, 1985.
3. S. Amari and H. Nagaoka, Methods of Information Geometry, American Mathematical Soc., New York: Oxford Univ. Press, 2000.
4. J. K. Beem, P. E. Ehrlich, and K. L. Easley, Global Lorentzian Geometry, 2nd ed. New York: Marcel Dekker, 1996.
5. Y. Cai, C. T. J. Dodson, O. Wolkenhauer, and A. J. Doig, "Information-theoretic analysis of protein sequences show that amino acids self cluster," J. Theor. Biol., vol. 218, no. 4, pp. 409-418, 2002.
6. C. T. J. Dodson, "Information geodesics for communication clustering," J. Statist. Comput. Simulat., vol. 65, pp. 133-146, 2000.
7. C. T. J. Dodson, "Spatial statistics and information geometry for parametric statistical models of galaxy clustering," Int. J. Theor. Phys., vol. 38, no. 10, pp. 2585-2597, 1999.
8. C. T. J. Dodson, "Geometry for stochastically inhomogeneous spacetimes," Nonlinear Anal., vol. 47, pp. 2951-2958, 2001.
9. C. T. J. Dodson and H. Matsuzoe Matsuzoe, "An affine embedding of the gamma manifold," Appl. Sci., vol. 5, no. 1, pp. 1-6, 2003.
10. C. T. J. Dodson and T. Poston, Tensor Geometry, 2nd ed. New York: Springer-Verlag, 1991.
11. A. Gray, Modern Differential Geometry of Curves and Surfaces, 2nd ed. Boca Raton, FL: CRC, 1998.
12. T.-Y. Hwang and C.-Y. Hu, "On a characterization of the gamma distribution: the independence of the sample mean and the sample coefficient of variation," Ann. Inst. Statist. Math., vol. 51, no. 4, pp. 749-753, 1999.
13. W. F. Kibble, "A two variate gamma-type distribution," Sankhyā, vol. 5, pp. 137-150, 1941.
14. K. V. Mardia, Families of Bivariate Distributions. London, U.K., 1970.