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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Bibliographic Details
Main Authors: Romanas Januškevičius, Olga Januškevičienė
Format: Article
Language:English
Published: Vilnius University Press 2023-09-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/30793
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