We consider the problem of delay estimation by observations solutions several SDEs. It is known that MLEs for these models are consistent and asymptotically normal, but likelihood ratio functions not differentiable w.r.t. parameter, therefore numerical calculation encounter certain difficulties. propose One-step Two-step MLEs, whose has no such problems provide an estimator equivalent to MLE. T...

Iterative methods which have high convergence order are crucial in computational mathematics since the iterates produce sequences converging to root of a non-linear equation. A plethora applications chemistry and physics require solution equations abstract spaces iteratively. The derivation iterative requires expansions using Taylor series formula higher-order derivatives not present method. Th...