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- Ke-Ang Fu, Li-Xin Zhang
- Fuzzy Sets and Systems
- 2008

In this paper we obtain some strong laws of large numbers (SLLNs) for arrays of rowwise independent (not necessary identically distributed) random compact sets and fuzzy random sets whose underlying spaces are separable Banach spaces. © 2008 Elsevier B.V. All rights reserved.

- Li-Xin Zhang, Wei Huang
- 2007

where N(0, 1) is a standard normal random variable. Later Rempala and Wesolowski (2002) extended such a central limit theorem to general i.i.d. positive random variables. Recently, the central limit theorem for product of sums has also been studied for dependent random variables (c.f., Gonchigdanzan and Rempala (2006)). In this note, we will show that this… (More)

- Li-Xin Zhang
- 2001

The aim of this paper is to establish Strassen’s law of the iterated logarithm for negatively associated random vectors under the /nite second moment. c © 2001 Elsevier Science B.V. All rights reserved. MSC: Primary 60F15; 60F17

- Li-Xin Zhang
- 2001

- Li-Xin Zhang
- 2003

Let {Yi;-oc < i < c~} be a doubly infinite sequence of identically distributed and (b-mixing random variables, (ai; ~ < i < oc} an absolutely summable sequence of real numbers. In this paper, we prove the complete convergence of {Ek=xn ~io~=_¢xz ai+kYi/nt/,; n>~ 1} under some suitable conditions. AMS classification: 60G50; 60F15

- Li-Xin Zhang, Jiwei Wen
- 2001

The aim of this paper is to investigate the weak convergence for negatively associated random #elds. To this end, we obtain some moment inequalities for the maximum of partial sums for a negatively associated random #eld, which also are of independent interest. c © 2001 Elsevier Science B.V. All rights reserved MSC: primary 60F05; secondary 62E20

- Li-Xin Zhang
- 2014

The Pólya urn has been extensively studied and is widely applied in many disciplines. An important application is to use urn models to develop randomized treatment allocation schemes in clinical studies. As an extension of the Pólya urn, the randomly reinforced urn was recently proposed to optimize clinical trials in the sense that patients are assigned to… (More)

- Ji-Wei Wen, Li-Xin Zhang
- 2003

In this paper, we study the asymptotic properties of the upper and lower tail probabilities of the maximum local time L∗(t) of Wiener process (Brownian motion), and obtain some precise asymptotics in the law of the iterated logarithm and the Chungs-type laws of the iterated logarithm for the supremum of Wiener local time L(x; t); x∈R; t ∈R+. c © 2003… (More)

- Zhengyan Lin, Li-Xin Zhang
- 2017

G-Brownian motion has a very rich and interesting new structure that nontrivially generalizes the classical Brownian motion. Its quadratic variation process is also a continuous process with independent and stationary increments. We prove a self-normalized functional central limit theorem for independent and identically distributed random variables under… (More)

- Xiao-Rong Yang, Wei-Dong Liu, Li-Xin Zhang
- Computers & Mathematics with Applications
- 2008

Keywords: Law of the logarithm Mixing sequences Precise asymptotics Strong approximation Stationary a b s t r a c t In a recent paper by Spătaru [Precise asymptotics for a series of T. a precise asymptotics in the law of the logarithm for sequence of i.i.d. random variables has been established. In this paper we show that there is an analogous result for… (More)