Research 

Interests

       

My main area of research interesting is  Bayesian statistics. Bayesian analysis is a statistical procedure which endeavors to estimate parameters of an underlying distribution based on the observed distribution. Begin with a "prior distribution" which may be based on anything, including an assessment of the relative likelihoods of parameters or the results of non-Bayesian observations.  Given the prior distribution, collect data to obtain the observed distribution. Then calculate the likelihood of the observed distribution as a function of parameter values, multiply this likelihood function by the prior distribution, and normalize to obtain a unit probability over all possible values. This is called the posterior distribution. The mode, mean, median  of the distribution are then the commonly used parameter estimates, and "probability intervals" (the Bayesian analog of confidence intervals) can be calculated using the standard procedure. 

 

My current work and research is related with on capture-recapture models to estimate demographic parameters, such as population size, using Bayesian approaches.  I have concentrated on studying the models in a Bayesian framework using objective non-informative priors and hierarchical prior structures. I also studied an application of capture-recapture models in epidemiology to estimate the number of patients in a research area. I am also interested in developing and applying statistical methods in the area of business  management and marketing.  

 

 

Publications 

  • Articles in Refereed Journals

Rochelle Renken, Wendy Gram, Debra Fantz, Stephen Richter, Timothy Miller, Kevin Ricke, Bradley Russell and Xiaoyin Wang (2004) Effects of Forest Management on Amphibians and Reptiles in Missouri Ozark Forests. Conservation Biology 18 (1), 174-188

Xiaoyin Wang, Chong Z. He, and Dongchu Sun (2005). Bayesian inference on the patient population size given list mismatches. Statistics in Medicine 24, 249-267.

Yao D.Q., Yue X, Wang X, and Liu J.  (2005)  The Impact of Information Sharing on a Returns Policy with the Addition of a Direct Channel International Journal of Production Economics 97, 196-209

Xiaoyin Wang, Chong Z. He, and Dongchu Sun (2007)  Bayesian Population Estimation for Small Sample Capture-recapture Data Using Non-informative Priors. Journal of Statistical Planning and Inference 137,

Wang, Xiaoyin, Non-informative Bayesian Population Estimate for Homogeneous Poisson Capture-Recapture Models. Journal of Applied Statistical Science

  • Articles in Refereed Proceedings

Wang, Xiaoyin, He, Chong Z. and Sun, Dongchu (2003) Bayesian population estimate in epidemiology
ASA Proceedings of the Joint Statistical Meetings, 4440-4445, American Statistical Association (Alexandria, VA)

  • Papers Under Review

Logistic Regression Analysis of Well Failures in Baltimore County

 

 

 

 

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