On stability estimations without any conditions of symmetry
Let X, X1, X2, ..., Xn be i.i.d. random variables. B. Ramachandran and C.R. Rao have proved that if distributions of sample mean ‾X = ‾X(n) = (X1 + ⋯ + Xn)/n and monomial X are coincident at least at two points n = j1 and n = j2 such that log j1/ log j2 is irrational, then X follows a Cauchy law. A...
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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Vilnius University Press
2023-09-01
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Series: | Lietuvos Matematikos Rinkinys |
Subjects: | |
Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/30793 |
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