Abstract:
The paper considers the sequential estimation problem for the unobservable component θt of a two-dimensional diffusion process (ξt,θt) satisfying (1) from the data ξT0. By a method different to that of [1], [6], equations of optimal filtering and (forward) interpolation (Theorems 6 and 7) are obtained under essentially weaker conditions.
Citation:
M. P. Ershov, “Sequential estimation of diffusion processes”, Teor. Veroyatnost. i Primenen., 15:4 (1970), 705–717; Theory Probab. Appl., 15:4 (1970), 688–700