The aim of this paper is to study and establish the precise asymptotics for complete integral
convergence theorems under a sublinear expectation space. As applications, the precise …

In this paper, we investigate the precise asymptotics for complete convergence and
complete integral convergence under sub-linear expectations. Some general results on …

The convergence rate for the laws of logarithms under sub-linear expectations Page 1 http://www.aimspress.com/journal/Math
AIMS Mathematics, 8(10): 24786–24801. DOI: 10.3934/math.20231264 Received: 20 May …

Let η n, n≥ 1, be a sequence of random variables. We study conditions under which lim ε↘
0∑ n≥ 1 ϕ (n) P (η n≥ f (ε g (n)))− ν (ε)= C, where C is a constant, assuming among other …

Let X, X n, n≥ 1 {X,X_n,n\geq1\} be a sequence of iid random variables with EX= 0 EX=0,
EX 2= σ 2 EX^2=σ^2. Set S n=∑ k= 1 n X k S_n=k=1^nX_k and let NN be the standard …

Liu and Lin (Statist. Probab. Lett. 2006) introduced a kind of complete moment convergence
which includes complete convergence as a special case. In this paper, we study the …

Рассмотрим независимые случайные величины X, X1, X2,... с общей функцией
распределения V. Будем предполагать, что V принадлежит области нормального …

SOME LIMIT THEOREMS FOR LARGE DEVIATIONS OF SUMS OF INDEPENDENT RANDOM
VARIABLES WITH COMMON DISTRIBUTION FUNCTION FROM THE DOMA Page 1 Journal …