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