Non-linear functionals preserving normal distribution and their asymptotic normality

We introduce sufficiently wide classes of non--linear functionals preserving normal (Gaussian) distribution and establish various conditions under which a sequence of such functionals is asymptotically normal. As one of a consequence we obtain a generalization and sharpening of known results on the...

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Bibliographic Details
Main Authors: Linda Khachatryan, Nahapetian Boris
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2018-06-01
Series:Armenian Journal of Mathematics
Subjects:
Online Access:http://armjmath.sci.am/index.php/ajm/article/view/175