Resource title

Adaptive estimation for affine stochastic delay differential equations

Resource image

image for OpenScout resource :: Adaptive estimation for affine stochastic delay differential equations

Resource description

Stochastic delay differential equations (SDDEs for short) appear naturally in the description of many processes, e.g. in population dynamics with a time lag due to an age-dependent birth rate (Scheutzow 1981), in economics where a certain "time to build" is needed (Kydland and Prescott 1982) or in laser technology (Garcia-Ojalvo and Roy 1996), in finance (Hobson and Rogers 1998) and in many engineering applications, see Kohmanovskii and Myshkis (1992) for an overview. They are also obtained as continuous-time limits of time series models, e.g. Jeantheau (2001), Reiß (2001). Among the huge variety of types of equations, the so-called affine stochastic delay differential equations form the fundamental class. They generalize the Langevin equation leading to the Ornstein-Uhlenbeck process and appear as continuous-time limits of linear autoregressive schemes.

Resource author

Markus Reiß

Resource publisher

Resource publish date

Resource language

eng

Resource content type

text/html

Resource resource URL

http://hdl.handle.net/10419/22233

Resource license

Adapt according to the presented license agreement and reference the original author.