Weak consistency and asymptotic normality of the ordinary least squares estimator in a linear regression with adaptive learning is derived when crucial, so-called, ‘gain’ parameter estimated first step by nonlinear from an auxiliary model.

empowering employees in specialized and general qualifications fields is required for urban management organization (tehran municipality). planning and establishment of comprehensive system of electronic learning is considered the main goal of human resource and educational managers. . this study tried to investigate the feasibility and execution of electronic learning courses for in-service st...

In Bryc(1998) we determined one dimensional distributions of a stationary field with linear regressions (1) and quadratic conditional variances (2) under a linear constraint (7) on the coefficients of the quadratic expression (3). In this paper we show that for stationary Markov chains with linear regressions and quadratic conditional variances the coefficients of the quadratic expression are i...

We analyze and identify stationary fields with linear regressions and quadratic conditional variances. We give sufficient conditions to determine one dimensional distributions uniquely as normal, and as certain compactly-supported distributions. Our technique relies on orthogonal polynomials, which under our assumptions turn out to be a version of the so called continuous q-Hermite polynomials.