| Title |
Apie stabilumo įverčius be simetriškumo sąlygos / |
| Translation of Title |
On stability estimations without any conditions of symmetry. |
| Authors |
Januškevičius, Romanas ; Januškevičienė, Olga |
| DOI |
10.15388/LMR.2006.30793 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. 2006, T. 46, spec, Nr, p. 439-441.. ISSN 0132-2818 |
| Keywords [eng] |
Stability estimation ; Distribution, Cauchy ; Mean, sample ; Statistics, identically distributed |
| Abstract [eng] |
Let X, X_1, X_2,..., X_n be i.i.d. random variables. B. Ramachandran and C.R. Rao have proved that if distributions of sample mean [...] and monomial X are coincident at least at two points n=j_1 and n=j_2 such that log j_1 / log j_2 is irrational, then X follows a Cauchy law. Assuming that condition of coincidence of X(n) and X are fulfilled at least for two n values, but only approximately, with some error ε in metric λ, we prove (without any conditions of symmetry) that, in certain sense, characteristic function of X is close to the characteristic function of the Cauchy distribution. |
| Type |
Journal article |
| Language |
Lithuanian |
| Publication date |
2006 |
| CC license |
|
