3 papers
math.PR2021
Asymptotically exact constants in natural convergence rate estimates in the Lindeberg theorem
Ruslan Gabdullin, Vladimir Makarenko, Irina Shevtsova
Following (Shevtsova, 2010) we introduce detailed classification of the asymptotically exact constants in natural estimates of the rate of convergence in the Lindeberg central limi…
math.PR2019
On natural convergence rate estimates in the Lindeberg theorem
Ruslan Gabdullin, Vladimir Makarenko, Irina Shevtsova
We prove two estimates of the rate of convergence in the Lindeberg theorem, involving algebraic truncated third-order moments and the classical Lindeberg fraction, which generalize…
math.PR2018
Esseen-Rozovskii type estimates for the rate of convergence in the Lindeberg theorem
Ruslan Gabdullin, Vladimir Makarenko, Irina Shevtsova
We present structural improvements of Esseen's (1969) and Rozovskii's (1974) estimates for the rate of convergence in the Lindeberg theorem and also compute the appearing absolute…