Optimal estimate of the convergence rate of statistic ρN = |ZNWN|

Robertas Vilkas; Algimantas Aksomaitis

doi:10.15388/LMR.2003.32529

Articles

Robertas Vilkas

Institute of Mathematics and Informatics

Algimantas Aksomaitis

Kaunas University of Technology

Published 2003-12-22

https://doi.org/10.15388/LMR.2003.32529

PDF

How to Cite

Vilkas, R. and Aksomaitis, A. (2003) “Optimal estimate of the convergence rate of statistic ρN = |ZNWN| ”, Lietuvos matematikos rinkinys, 43(spec.), pp. 560–564. doi:10.15388/LMR.2003.32529.

Download Citation

Abstract

The optimal estimate of the convergence rate of distribution function of statistic ρ_Nis given (for one of the examples in [1]) and unimprovable constants were obtained. Besides, the optimal non-uniform estimate from the right was found together with the unimprovable constant.

PDF

This work is licensed under a Creative Commons Attribution 4.0 International License.

Downloads

Download data is not yet available.

Most read articles by the same author(s)

Lina Dindienė, Algimantas Aksomaitis, The estimation of the convergence rate for maxima of random variables vectors , Lietuvos matematikos rinkinys: Vol. 51 (2010)
Algimantas Aksomaitis, Rate of convergence in the transfer theorem for min-scheme , Lietuvos matematikos rinkinys: Vol. 48 (2008)
Algimantas Aksomaitis, Irma Ivanovienė, Geometric max stability of random vectors , Lietuvos matematikos rinkinys: Vol. 50 (2009)
Robertas Vilkas, Definition of an increasing function , Lietuvos matematikos rinkinys: Vol. 64 (2023): Ser. B
Robertas Vilkas, Do we need mixed numbers? , Lietuvos matematikos rinkinys: Vol. 64 (2023): Ser. B
Robertas Vilkas, A critique of terms and symbols in school mathematics , Lietuvos matematikos rinkinys: Vol. 64 (2023): Ser. B
Algimantas Aksomaitis, Asymptotical analysis of Cramer‘s transforms for extrema , Lietuvos matematikos rinkinys: Vol. 47 (2007)
Arvydas Jokimaitis, Algimantas Aksomaitis, The transfer theorems for density of extreme values , Lietuvos matematikos rinkinys: Vol. 45 (2005)
Agnė Burauskaitė, Algimantas Aksomaitis, Moments of extremes of normally distributed values , Lietuvos matematikos rinkinys: Vol. 43 (2003)
Algimantas Aksomaitis, About the geometrical stability of the marginal terms in variation series , Lietuvos matematikos rinkinys: Vol. 44 (2004)

1 2 > >>