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Sequential estimation of the parameters of diffusion processes
Authors:A A Novikov
Institution:(1) V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR, USSR
Abstract:For the parameter lambda of a diffusion processxgr(t), satisfying the stochastic differential equation dxgr(t)=lambdaf (t,xgr)dt+dw(l), we propose an effective sequential estimation plan with an unbiased and normally distributed estimate. The proposed sequential plan is discussed in detail for the example of a process xgr(t) having a linear stochastic differential.Translated from Matematicheskie Zametki, Vol. 12, No. 5, pp. 627–638, November, 1972.In conclusion the author wishes to express his deep gratitude to A. N. Shiryaev for formulating the problem and for useful observations
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