Probability density estimation in stochastic environmental models using reverse representations

Stochastic Environmental Research and Risk Assessment

Volumn 20, Issue 1-2, 2006, Pages 126-139

  van den Berg, E ^a   Heemink, A W ^a   Lin, H X ^a   Schoenmakers, J G M ^b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30344488733     PISSN: 14363240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00477-005-0022-5     Document Type: Article

References (17)

1. Bally V, Talay D (1996a) The law of the Eulerscheme for stochastic differential equations I: Convergence rate of the density. Monte Carlo Methods Appl 2:93-128
2. Bally V,Talay D (1996b) The law of the Euler scheme for stochastic differential equations I: Convergence rate of the distribution function. Probab Theory Relat Fields 104:43-60
3. 1. View Wiley
4. L Devroye 1986 Non-uniform random number generation Springer Berlin Heidelberg New York
5. Greengrad L, Strain J (1991) The fast Gauss transform. SIAM J sic stat Comp 12:79-94 10.1137/0912004
6. Hammersley JM, Handscomb DC (1964) Monte Carlo methods. Wiley, London
7. Jazwinsky AW (1970) Stochastic processes and filtering theory. Academic, New York
8. Kloeden PE, Platen E (1992) Numerical solution of stochastic differential equations. Springer, Berlin Heidelberg New York
9. Loucks DP, Stedinger JR, Haith DA (1981) Resources systems planning and analysis. Prentice-Hall, New York
10. Milstein GN (1995) Numerical integration of stochastic differential equations. Kluwer, Dordrecht
11. Milstein GN, Schoenmakers JGM (2002)Monte Carlo construction of hedging strategies against multi-asset European claims stochastics. Stochastics Rep 1-2:125-157 10.1080/10451120212868
12. Milstein GN, Schoenmakers JGM, Spokoiny V (2002) Transition density estimation for stochastic differential equations via forward reverse representations. Bernoulli (submitted)
13. Schoenmakers JGM, Heemink AW (1997) Fast valuation of financial derivatives. J Comput Finance 1(1):47-67
14. Schoenmakers JGM, Heemink AW, Ponnambalam K, Kloeden PE (2002) Variance reduction for Monte Carlo simulation of stochastic environmental models. Appl Math Model 26:785-795 10.1016/S0307-904X(01)00091-9
15. Silverman BW (1986) Density estimation for statistics and data analysis. Chapman and Hall Ltd, New York
16. Stijnen JW (2002) Numerical methods for stochastic environmental models Delft University of Technology. Ph.D. Thesis, Defalt University of Technology
17. Thomson DJ (1987) Criteria for the selection of stochastic models of particle trajectories in turbulent flows. J Fluid Mech 180:529-556