Remark on Moderate Deviations in the Multidimensional Central Limit Theorem

1985 ◽  
Vol 122 (1) ◽  
pp. 167-173 ◽  
Author(s):  
Wolf-Dieter Richter
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Moderate Deviations ◽  
Multidimensional Central Limit Theorem

scholarly journals On the estimation of the remainder term in the multidimensional central limit theorem

1971 ◽  
Vol 11 (4) ◽  
pp. 905-910
Author(s):  
H. Jasiūnas
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Remainder Term ◽  
Multidimensional Central Limit Theorem

The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: Г. Ясюнас. Об оценке остаточного члена в многомерной центральной предельной теореме H. Jasiūnas. Liekamoje nario įvertinimas daugiamatėje centrinėje ribinėje teoremoje

On the asymptotic distribution of multivariate renewal processes

1984 ◽  
Vol 21 (3) ◽  
pp. 639-645 ◽  
Author(s):  
Ştefan P. Niculescu
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Rate Of Convergence ◽  
Asymptotic Distribution ◽  
Central Limit ◽  
Renewal Theory ◽  
Renewal Processes ◽  
Limit Distributions ◽  
Multidimensional Central Limit Theorem

Using a result of Bikjalis (1971) concerning the rate of convergence in the multidimensional central limit theorem we obtain informations about some limit distributions in multivariate renewal theory.

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