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There have been many attempts at explaining age-related cognitive decline on the basis of regional brain changes, with the usual but inconsistent findings being that smaller gray matter volumes in certain brain regions predict worse cognitive performance in specific domains. Additionally, compromised white matter integrity, as suggested by white matter… (More)

We examine normal aging from the perspective of topological patterns of structural brain networks constructed from two healthy age cohorts 20 years apart. Based on graph theory, we constructed structural brain networks using 90 cortical and subcortical regions as a set of nodes and the interregional correlations of grey matter volumes across individual… (More)

- Timothy C Brown, Aihua Xia
- 1999

Barbour (1988) introduced a probabilistic view of Stein's method for estimating the error in probability approximations. However, in the case of approximations by general distributions on the integers, there have been no purely prob-abilistic proofs of Stein bounds till this paper. Furthermore, the methods introduced here apply to a very large class of… (More)

Palindromes are symmetrical words of DNA in the sense that they read exactly the same as their reverse complementary sequences. Representing the occurrences of palindromes in a DNA molecule as points on the unit interval, the scan statistics can be used to identify regions of unusually high concentration of palindromes. These regions have been associated… (More)

- Ai-Hua Xia, Qing-Xiang Zhou, Lin-Lin Yu, Wei-Guo Li, Yong-Zhu Yi, Yao-Zhou Zhang +1 other
- BMC genomics
- 2006

BACKGROUND
The major royal jelly proteins/yellow (MRJP/YELLOW) family possesses several physiological and chemical functions in the development of Apis mellifera and Drosophila melanogaster. Each protein of the family has a conserved domain named MRJP. However, there is no report of MRJP/YELLOW family proteins in the Lepidoptera.
RESULTS
Using the YELLOW… (More)

- Louis H Y Chen, Aihua Xia
- 2002

The framework of Stein's method for Poisson process approximation is presented from the point of view of Palm theory, which is used to construct Stein identities and define local dependence. A general result (Theorem 2.3) in Poisson process approximation is proved by taking the local approach. It is obtained without reference to any particular metric,… (More)

We consider the point process of signal strengths from transmitters in a wireless network observed from a fixed position under models with general signal path loss and random propagation effects. We show via coupling arguments that under general conditions this point process of signal strengths can be well-approximated by an inho-mogeneous Poisson or a Cox… (More)

- A D Barbour, Aihua Xia
- 2006

In this paper, we adapt the very effective Berry–Esseen theorems of Chen and Shao (2004), which apply to sums of locally dependent random variables, for use with randomly indexed sums. Our particular interest is in random variables resulting from integrating a random field with respect to a point process. We illustrate the use of our theorems in three… (More)

Most metrics between finite point measures currently used in the literature have the flaw that they do not treat differing total masses in an adequate manner for applications. This paper introduces a new metric ¯ d 1 that combines positional differences of points under a closest match with the relative difference in total mass in a way that fixes this flaw.… (More)

- A D Barbour, Aihua Xia
- 2006

In this note, we provide a probabilistic proof of various Stein's factors for Poisson approximation in terms of the Wasserstein distance.