Asymptotic Theory of Nonlinear Regression
A. A. Ivanov
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Asymptotic Theory of Nonlinear Regression

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Let us assume that an observation Xi is a random variable (r.v.) with values in 1 1 (1R1 , 8 ) and distribution Pi (1R1 is the real line, and 8 is the cr-algebra of its Borel subsets). Let us also assume that the unknown distribution Pi belongs to a 1 certain parametric family {Pi() , () E e}. We call the triple Pds. i = {1R1 , 8 , Pi(), () E e} a statistical experiment generated by the observation Xi. n We shall say that a statistical experiment Pds. n = {lRn, 8 , P; ,() E e} is the product of the statistical experiments Pds. i, i = 1, ... ,n if PO' = P () X ... X P () (IRn 1 n n is the n-dim...