170 citations · 897 across the 35 of their papers we have counts for
7 papers · 1 filter
Adaptive Allocation Theory in Clinical Trials
Li-Xin Zhang
Various adaptive randomization procedures (adaptive designs) have been proposed to clinical trials. This paper discusses several broad families of procedures, such as the play-the-…
On the rates of the other law of the logarithm
Li-Xin Zhang
By using the strong approximation, this paper establishes several limit results on the convergent rate of a infinite series of probabilities on the other law of iterated logarithm.
Precise Asymptotics in Chung's law of the iterated logarithm
Li-Xin Zhang
This paper gives sufficent and necessary conditions on a kind of limit results to hold on the precise convergent rate of an infinite series of probabilities on the Chung type law o…
Precise rates in the law of the iterated logarithm
Li-Xin Zhang
Let , , , be i.i.d. random variables, and let be the partial sums and be the maximum partial sums. We give the suffi…
Asymptotic Properties of Covariate-Adjusted Adaptive Designs
Li-Xin Zhang, Feifang Hu, Siu Hung Cheung +1
Response-adaptive designs have been extensively studied and used in clinical trials. However, there is a lack of a comprehensive study of response-adaptive designs that include cov…
A note on the invariance principle of the product of sums of random variables
Li-Xin Zhang, Wei Huang
In literature, the central limit theorems for the product of sums of various random variables have studied. The purpose of this note is to show that this kind of results are coroll…
Asymptotic theorems of sequential estimation-adjusted urn models
Li-X. Zhang, Feifang Hu, Siu Hung Cheung
The Generalized Pólya Urn (GPU) is a popular urn model which is widely used in many disciplines. In particular, it is extensively used in treatment allocation schemes in clinical t…