Details

Autor(en) / Beteiligte

• Leslie, Julian

Titel

Generalisation and Application of Some Results of Ibragimov on Convergence to Normality

Ist Teil von

• The Annals of probability, 1975-10, Vol.3 (5), p.897-902

Ort / Verlag

Institute of Mathematical Statistics

Erscheinungsjahr

1975

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We modify certain results obtained by I. A. Ibragimov concerning the remainder term in the Central Limit Theorem and the remainder term in the approximation of the distribution function for normed sums of i.i.d. rv's by a portion of the Chebyshev series and we then use these to complete some results appearing in a joint article by C. C. Heyde and the author (Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 21 255-268) (as well as in a similar article by F. N. Galstian (Theor. Probability Appl. 16 3, 528-533)).