Forecasting for the univariate lognormal diffusion process with exogenous factors

Cybernetics and Systems

Volumn 34, Issue 8, 2003, Pages 709-724

  Gutierrez R ^a   Roman P ^a   Romero, D ^a   Torres, F ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; FORECASTING; FUNCTIONS; LOGISTICS; MAXIMUM LIKELIHOOD ESTIMATION; NUCLEAR ENGINEERING; PROBABILITY; STATE SPACE METHODS;

LOGNORMAL DIFFUSION;

CYBERNETICS;

EID: 0345529980     PISSN: 01969722     EISSN: 10876553     Source Type: Journal    
DOI: 10.1080/716100279     Document Type: Article

References (31)

1. Black, F., and M. Scholes. 1973. The pricing of options and corporate liabilities. Journal of Political Economy, 81:637-654.
2. Capocelli, R. M., and L. M. Ricciardi. 1971. Diffusion approximation and first passage time problem for a model neuron. Kybernetik, 6:214-223.
3. Capocelli, R. M., and L. M. Ricciardi. 1973. A continuous Markovian model for neuronal activity. Journal of Theoretical Biology, 40:369-387.
4. Capocelli, R. M., and L. M. Ricciardi. 1974a. Growth with regulation in random environment. Kybernetik, 15:147-157.
5. Capocelli, R. M., and L. M. Ricciardi. 1974b. A diffusion model for population growth in random environment. Theoretical Population Biology, 5:28-41.
6. Capocelli, R. M., and L. M. Ricciardi. 1975. A note on growth processes in random environment. Biological Cybernetics, 18:105-109.
7. Chai, C. C. 1999. Distribution of phase difference between two Rice or Naka-gami-lognormal processes perturbed by Gaussian noise. In Proceedings of IEEE Vehicular Technology Conference, vol. 1, pp. 82-86, Amsterdam.
8. Corazza, G. E., and F. Vatalaro. 1994. A statistical model for land mobile satellite channels and its application to nongeostationary orbit systems. IEEE Transactions on Vehicular Technology, 43(3):738-742.
9. Goldys, B., M. Musiela, and D. Sonderman. 2000. Lognormality of rates and term structure models. Stochastic Analysis and Applications, 18(3):375-396.
10. Gutierrez, R., A. Hermoso, and M. Molina. 1986. On the estimation of the drift coefficient in randomly stopped diffusion processes. Trabajos de Estadlstica, 1(2):57-66.
11. Gutierrez, R., J. M. Angulo, A. Gonzalez, and R. Perez. 1991. Inference in lognormal multidimensional diffusion processes with exogenous factors: Application to modelling in economics. Applied Stochastic Models and Data Analysis, 7:295-316.
12. Gutierrez, R., P. Roman, and F. Torres. 1993. Inference on univariate lognormal diffusion processes via first-passage-times. In Proceedings of the Sixth International Symposium on A.S.M.D.A., pp. 330-339, edited by J. Jansen and Ch. Skiadas. Singapore: World Scientific.
13. Gutierrez, R., P. Roman, and F. Torres. 1995. A note on the Volterra integral equation for the first-passage-time density. Journal of Applied Probability, 32(3):635-648.
14. Gutierrez, R., A. Gonzalez, and F. Torres. 1997a. Estimation in multivariate lognormal diffusion process with exogenous factors. Applied Statistics, 46(1):140-146.
15. Gutierrez, R., L. Ricciardi, P. Roman, and F. Torres. 1997b. First-passage-time densities for time-non-homogeneous diffusion processes. Journal of Applied Probability, 34(3):623-631.
16. Gutierrez, R., P. Roman, and F. Torres. 1999. Inference and first-passage-times for the lognormal diffusion process with exogenous factors. Application to modelling in economics. Applied Stochastic Models in Business and Industry, 15(4):325-332.
17. Gutierrez, R., P. Roman, and F. Torres. 2001a. Inference on some parametric functions in the univariate lognormal diffusion process with exogenous factors. Test, 10(2):357-373.
18. Gutierrez, R., P. Roman, D. Romero, and F. Torres. 2001b. UMVU estimation of the trend and covariance function for the univariate lognormal diffusion process with exogenous factors. In X International Symposium on Applied Stochastic Models and Data Analysis, 516-521, edited by J. Jansen and Ch. Skiadas. Compiegne, France: Universite de Technologie de Compiegne.
19. Huang, W. N. 1973. Non-linear creep buckling with random temperature variations. Nuclear Engineering and Design, 25(3):432-437.
20. Hunt, P. J., and J. E. Kennedy. 2000. Financial derivatives in theory and practice. Chichester, England: John Wiley and Sons.
21. Lamberton, D., and B. Lapeyre. 1996. Introduction to stochastic calculus applied to finance. London: Chapman and Hall.
22. Land, C. E. 1971. Confidence intervals for linear functions of the normal mean and variance. Annals of Mathematical Statistics, 42(4):1187-1205.
23. Land, C. E. 1988. Hypothesis tests and interval estimates. In Lognormal distributions, theory and applications, pp. 87-112, eds. E. L. Crow and K. Shimizu. New York: Marcel Dekker.
24. Lyon, B. F., and C. E. Land. 1999. Computation of confidence limits for linear functions of the normal mean and variance. Oak Ridge National Laboratory Technical Report ORNL/TM-1999/245.
25. Noda, S., and M. Hoshiya. 1998. Kriging of lognormal stochastic field. Journal of Engineering Mechanics, 124(11):1775-1184.
26. Ricciardi, L. M. 1977. Diffusion processes and related topics in biology. Heidelberg: Springer-Verlag.
27. Ricciardi, L., L. Sacerdote, and S. Sato. 1983. Diffusion approximation and first passage time problem for a model neuron II. Outline of a computation method. Mathematical Biosciences, 64:29-44.
28. Shimizu, K., and K. Iwase. 1981. Uniformly minimum variance unbiased estimation in lognormal and related distributions. Communications in Statistics-Theory and Methods, 10:1127-1147.
29. Tintner, G., and J. K. Sengupta. 1972. Stochastic economics. New York: Academic Press.
30. Tjeng, T. T., and C. C. Chai. 1999. Fade statistics in Nakagami-lognormal channels. IEEE Transactions on Communications, 47(12):1769-1772.
31. Vazquez, S., and N. Garcia. 2001. The probability distribution function of column density in molecular clouds. Astrophysical Journal, 557(2):727-735.