About the Authors

Yuan Yuan

Affiliation Department of Statistics, Harvard University, Cambridge, Massachusetts, United States of America

Lei Guo

Affiliation Department of Statistics, Harvard University, Cambridge, Massachusetts, United States of America

Lei Shen

Affiliation Department of Statistics, Harvard University, Cambridge, Massachusetts, United States of America

Jun S Liu

To whom correspondence should be addressed. E-mail: jliu@stat.harvard.edu

Affiliation Department of Statistics, Harvard University, Cambridge, Massachusetts, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

YY and JSL conceived and designed the experiments. YY performed the experiments. YY and JSL analyzed the data. LG and LS contributed reagents/materials/analysis tools. YY and JSL wrote the paper.