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Asymptotic Properties of the most Generalized Optimal Stochastic Approximation Procedures | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 16, Issue 2, 2013, Pages 202-209 | ||
| Author | ||
| Ali H. Kashmar | ||
| Abstract | ||
| In this paper we consider the most general nonlinear regression model, Y(x)=ψ(θ_((1) ) ) g_1 (θ_((2) );x)+ε , prove of the almost sure convergence, and asymptotic normality of the estimators for the nonlinear parameters, using the most general optimal stochastic approximation procedure. A procedure for constructing the general confidence intervals for the vector of nonlinear parameters is also developed; the most generalized nonlinear regression model is introduced. We establish asymptotic properties for the most generalized model. | ||
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