About the Authors

Cen Wu

Affiliation Department of Statistics and Probability, Michigan State University, East Lansing, Michigan, United States of America

Gengxin Li

Affiliation Department of Statistics and Probability, Michigan State University, East Lansing, Michigan, United States of America

Jun Zhu

Affiliation College of Agriculture and Biotechnology, Zhejiang University, Hangzhou, Zhejiang, People's Republic of China

Yuehua Cui

cui@stt.msu.edu

Affiliation Department of Statistics and Probability, Michigan State University, East Lansing, Michigan, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: YC. Performed the experiments: CW. Analyzed the data: CW. Contributed reagents/materials/analysis tools: GL JZ. Wrote the paper: CW YC.