**M. Malyutov **

*REAGAN Estimates of a Quasilinear
Regression *

We study
Design and Analysis of non-linear in parameters smooth Quasilinear
Regression Model (abbreviated as Q-model) which admits in every iteration
almost the same type of analysis as linear regression for simultaneous
iterative estimation of both the mean and variance of observations. Q-models
are more flexible in applications than Linear models.
We prove local convergence of iterations *θ ^{s}*,

**КЛЮЧЕВЫЕ**** СЛОВА****:** Gauss-Newton algorithm, iterations,
convergence in probability, asymptotic normality, maximum
likelihood, exponential families