Flexible stationary diffusion-type models are developed that can fit both the marginal distribution and the correlation structure found in many time series from, for example, finance and turbulence.

Zengri Wang, Thomas A. Louis, Matching Conditional and Marginal Shapes in Binary Random Intercept Models Using a Bridge Distribution Function, Biometrika, Vol. 90, No. 4 (Dec., 2003), pp. 765-775 ...