Estimate of convergence rate in the limit theorem for the case of a stable limit law

1974 ◽  
Vol 14 (3) ◽  
pp. 496-501 ◽  
Author(s):  
S. P. Steišunas
Keyword(s):  
Limit Theorem ◽  
Convergence Rate ◽  
Stable Limit ◽  
Estimate Of Convergence Rate

Nonuniform estimate of maximum density convergence rate for independent random variables

1999 ◽  
Vol 4 ◽  
pp. 3-9
Author(s):  
A. Aksomaitis ◽  
A. Jokimaitis
Keyword(s):  
Limit Theorem ◽  
Convergence Rate ◽  
Random Variables ◽  
Maximum Density ◽  
Independent Random Variables ◽  
Nonuniform Estimate ◽  
Density Limit ◽  
Estimate Of Convergence Rate

The nonuniform estimate of convergence rate in the maximum density limit theorem of independent nonidentically distributed random variables is obtained. This result is generalization of the work presented in [1].

scholarly journals The local limit theorem for sums of random variables defined on a homogeneous Markov chain in the case of the stable limit distribution law

1961 ◽  
Vol 1 (1-2) ◽  
pp. 7-16
Author(s):  
A. Aleškevičienė
Keyword(s):  
Markov Chain ◽  
Limit Theorem ◽  
Limit Distribution ◽  
Local Limit Theorem ◽  
Local Limit ◽  
Homogeneous Markov Chain ◽  
Stable Limit ◽  
Distribution Law ◽  
Sums Of Random Variables ◽  
Stable Limit Distribution

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: A. Алешкявичене. Локальная предельная теорема для сумм случайных величин, связанных в однородную цепь Маркова в случае устойчивого предельного распределения A. Aleškevičienė. Lokalinė ribinė teorema atsitiktinių dydžių, surištų homogenine Markovo grandine, sumoms stabilaus ribinio dėsnio atveju  

Sign in / Sign up

Export Citation Format

Share Document