Recent Papers


Google Scholar Citation Number (GSCN)

 GSCN (up-to-date)


(* indicates former PhD student)

(** indicates former postdoctoral)




64. Y. Zuo (2020)

Non-asymptotic analysis and inference for an outlyingness induced winsorized mean”

(in press), arXiv:2105.02337

Statistical Papers


63. W. Shao*, Y. Zuo, and June Luo (2018)

Employing the MCMC Technique to Compute the Projection Depth in High Dimensions” (in press)

Journal of Computational and Applied Mathematics




62. Y. Zuo (2019)

“Computation of projection regression depth and its induced median”

Computational statistics and data analysis, Vol. 158June 2021, 107184.


[some thirty plus instances of (Matlab, R, and Rcpp) code associated with the article are available at] arXiv:1905.11846, PDF


61. Y. Zuo (2018)

“On general notions of depth for regression”

(Statistical Science 2021, Vol. 36, No. 1, 142–157), arXiv:1805.02046. PDF


60. Y. Zuo (2018)

“Robustness of the deepest projection regression depth functional”

Statistical Papers, PDF




59. Y. Zuo (2019)

“Large sample properties of the regression depth induced median”

Statistics and Probability Letters (166, November 2020, 108879). PDF, supplement PDF


58. Y. Zuo (2019)

“Depth induced regression medians and uniqueness”

Stats (in press), arXiv:1906.10461. PDF




57. W.Shao*, and Y. Zuo (2017)

Computing the halfspace depth with multiple try algorithm and simulated annealing algorithm” 

Computational Statistics,





56. Y. Zuo (2016)

“A new approach for the computation of halfspace depth in high dimensions”.

Communications in Statistics - Simulation and Computation

 PDF 48(3): 900-921.


55. X.Liu*, S. Luo and Y. Zuo (2016)

The limit of finite sample breakdown point of Tukey's halfspace median for general data”.  

Acta Mathematica Sinica, English Series  PDF 34(9): 1403-1416.






54. X. Liu*, S. Luo and Y. Zuo (2015).

“Some results on the computing of Tukey's halfspace median”.

Statistical Papers, Stat Papers (2017).


53.  X. Liu*, Y. Zuo, and Q. Wang (2015).

“Finite sample breakdown point of Tukey's halfspace median”.

 Sci China Math, 2017, 60: 861–874, doi: 10.1007/s11425-016-0285-1





52. Y. Zuo  (2005).

“On the performance of confidence intervals for quantiles”

Journal of Advanced Statistics, 1(3), 171-179.





51. Y. Zuo  (2005).

“Bahadur representations for bootstrap quantiles"

Metrika, 78(5), 597-610.


50. X. Liu* and Y. Zuo (2014).

CompPD: A MATLAB package for computing projection depth"

Journal of Statistical Software, 65(2), 1-21.





49. X .Liu* and Y. Zuo (2011)

"Computing halfspace depth and regression depth"

Communications in Statistics - Simulation and Computation

43(5), 969-985.


48. X. Liu* and Y. Zuo (2011).

“Computing projection depth and its associated estimators"

Statistics and Computing, 24 (1), 51-63.






47. Y. Zuo (2013).

“Multidimensional medians and uniqueness"

Computational Statistics and Data Analysis, 66, 82-88.


46. X. Liu*, Y.  Zuo and  Z. Wang. (2011).

“Exactly computing bivariate projection depth contours and median"

Computational Statistics and Data Analysis,  60, 1-11. PDF





45. W. Shao* and Y. Zuo (2011). 

Simulated annealing for higher dimensional projection depth ‘’
Computational Statistics and Data Analysis, 56, 4026–4036




44. J. Luo* and Y. Zuo (2006). 

 A new test for large dimensional regression coefficients”.

 Open Journal of Statistics.  1(3), 212-216 (2011).


43. J. Luo* and Y. Zuo. (2009)

“Statistical methods for differential gene detection in microarray''.

 Advances and Applications in Statistical Sciences, 6(2), 77-88 (2011).


42. B. Jiang, X. Zhang, Y. Zuo, and G. Kang,  (2009)

“A powerful truncated tail strength method for testing multiple null hypotheses in one dataset".

 Journal of theoretical Biology 277 (1), 67-73 PDF


41. Y. Zuo and S. Lai (2009).

 "Exact computation of the bivariate projection depth and Stahel-Donoho estimator."

Computational Statistics and Data Analysis , 53(3), 1173-1179. 2011. PDF (GSCN:2)





40. L. Kong** and Y. Zuo (2009).

 “Smooth Depth Contours Characterize Underlying Distribution”

 Journal of Multivariate Analysis.  101(2010), 2222 – 2226, 2010. PDF


39. Y. Zuo (2009).

 "Is  t procedure $\bar{x} \pm t_\alpha(n-1) s/\sqrt{n}$ optimal?"

The American Statistician  64(2), 170-173, 2010.


38. R. Serfling and Y. Zuo (2009).

"Some Perspectives on Multivariate Quantile and Depth Functions"

The Annals of Statistics. (discussion article)  38(2), 676-684, 2010. PDF


37. Y. Zuo and G. Kang (2007)

“A mixed two-stage analysis for detecting interactions in genomewide association studies”

Journal of theoretical Biology , 262(4), 576-583, 2010.





36. Y. Yuan**, J. Wu ,  Y. Zuo, .and J. Chen (2009).

“A new method for fitting the complicated water level process of the lower Yellow River”.

 Science in China Seies E: Technological Sciences,  52(10): 2997 -3003, 2009.


35. Y. Zuo (2009).

"Data depth trimming procedure outperforms the classical $t$ (or $T^2$) one,"

Journal of Probability and Statistics  Volume 2009 (2009), Article ID 373572, 9 pages


34. Y.  Zuo and X. Ye (2009)   

ExPD2D: "Exact Computation of Bivariate Projection Depth Based on Fortran Code."

R package version 1.0.1.


33. Y. Zuo  and  S. Lai (2009)

“On a robust and efficient maximum depth estimator”

Science in China Series A: Mathematics . 52(6),1-21, 2009. PDF


32.  M. Wu* and Y. Zuo (2005)

“Trimmed and Winsorized means based on a scaled deviation”

Journal of Statistical Planning and Inference139(2) 350-365, 2009. (GSCN:4)





31 .M. Wu* and Y. Zuo (2007)

“Trimmed and Winsorized Standard Deviations based on a scaled deviation”

Journal of Nonparametric Statistics, 20(4):319-335, 2008. (GSCN:1)


30. Kang**, G., Yue, W., Zhang, J., Huebner, M., Zhang, H., Ruan, Y., Lu, T., Ling, Y., Zuo, Y., Zhang, D(2007).

"Two-stage designs to identify the effects of SNP combinations on complex diseases"

Journal of Human Genetics. 53(8):739-46, 2008. (GSCN:3)


 29. Zuo, Y., Zou, G., Wang, J., Zhao, H., Liang, H.(2006).

Optimal two-stage design for case-control association analysis incorporating genotyping error

The Annals of Human Genetics, 72(3):375-387, 2008. (GSCN:8)


28. Kang**, G., Yue, W. Zhang, J., Cui, Y., Zuo, Y., and Zhang, D. (2007).

 An entropy-based approach for modeling and testing genetic epistasis underlying complex diseases.

 Journal of theoretical Biology, 250(2):362-374, 2008. (GSCN:8)





27. Kang**, G., Zuo, Y. (2006)

 Entropy-based joint analysis for two-stage genome-wide association studies.

Journal of Human Genetics, 52(9): 747-756, 2007. (GSCN:2)





26. Y. Zuo and J. Du (2005)

“On an L-estimator with data-dependent coefficients’’

International Journal of Statistics and Management Systems. 1(1):24-47, 2006.


25. Y. Zuo, G. Zou, and H. Zhao (2005)

“Two-stage designs in case-control association analysis”
 Genetics. 173: 1747-1760, 2006. doc  PDF  (GSCN: 30)


24. Y. Zuo (2005)

``Robust location and scatter estimators in multivariate analysis'' 

(Invited book chapter to honor Peter Bickel on his 65th Birthday)

The Frontiers in Statistics, Imperial College Press, 467-490, 2006. PDF



23. Y. Zuo and X. He (2003)

“On the limiting distributions of multivariate depth-based rank sum statistics and related tests”

The Annals of Statistics.  34 (6), 2006. PDF (GSCN:5)


22. Y. Zuo (2003)

“Multi-dimensional trimming based on projection depth”

The Annals of Statistics.  34 (5), 2006. PDF  Final version (GSCN:11)


21. Q. Sha, X. Zhu, Y. Zuo, R. Cooper, and S. Zhang (2005)

``A combinatorial searching method for detecting a set of interacting loci associated with complex traits''.

The Annals of Human Genetics. 70(5): 677-692, 2006. PDF  (GSCN:12)


20. M. Arcones, H. Cui and Y. Zuo (2002)

“Empirical depth processes’’

Test (Spanish Statistical and Operations Research Society). 15(1): 151-177, 2006. PDF (GSCN:3)


19. G. Zou** and Y. Zuo (2005)

“On the sample size requirement in genetic association tests when the proportion of false positives is controlled"
Genetics. 172(1): 687-691, 2006. PDF (GSCN:16)





18. Y. Zuo and H. Cui (2002) 
"Depth weighted scatter estimators"

 The Annals of Statistics  33(1): 381-413, 2005. PDF (GSCN:20)





17. Y. Zuo (2003)

“Projection Based Affine Equivariant Multivariate Location Estimators with the Best Possible Finite Sample Breakdown Point’’

Statistica Sinica. 14 (4): 1199-1208, 2004. PDF  (GSCN:7)


16. Y. Zuo (2003)

“Robustness of weighted Lp-depth and Lp-median’’

 Allgemeines Statistisches Archiv (Journal of the German Statistical Society) (invited). 88: 1-20, 2004. PDF  (GSCN:10)


15. Y. Zuo, H. Cui and D. Young (2001)
"Influence function and maximum bias of projection depth based estimators" 
 The Annals of Statistics.  32(1): 189-218, 2004. Postscript  PDF (GSCN:20)


14.  Y. Zuo, H. Cui and X. He (2001)

“On the Stahel-Donoho Estimator and Depth-weighted Means of Multivariate Data”

The Annals of Statistics. 32(1): 167-188, 2004 Postscript  PDF 

 (award-winning  diploma)  (GSCN: 55)


13 .Y. Zuo and H. Cui (2002) 
"Statistical depth functions and some applications" 
 Advances in Mathematics (China) (invited). 33(1): 1-25, 2004. Postscript





12. Y. Zuo (2001)

"Finite sample tail behavior of multivariate location estimators"

Journal of Multivariate Analysis. 85: 91-105, 2003 Postscript (GSCN: 1)

11. Y. Zuo (2000) 
"Projection based depth functions and associated medians". 
 The Annals of Statistics.   31 (5): 1460-1490, 2003 Postscript  PDF (GSCN: 79)





10. Y. Zuo (2002) 
"Multivariate trimmed means based on data depth" 
Statistical Data Analysis based on the L1-Norm and Related Methods (Y. Dodge ed.).  313-322, 2002 (GSCN:4)





9. Y. Zuo (2000)

``Finite Sample Tail Behavior of Hodges-Lehmann Type Estimators''. 
Statistics.  35: 557-568, 2001 Postscript (GSCN:1)


8. Y. Zuo (1999)

``Some Quantitative Relationships between Two Types of Finite Sample Breakdown Point''. 
Statistics and Probability Letters 51 (4): 369-375, 2001 Postscript (GSCN: 15)





7. Y. Zuo (2000)

``Finite sample tail behavior of multivariate trimmed mean based on Tukey-Donoho half-space depth''

Metrika52 (1): 69-75, 2000 Postscript


6. Y. Zuo (1999)

``Multivariate Monotone Location Estimators''

Sankhya Series A.  62(2): 161-177, 2000. Postscript


5. Y. Zuo (1999) 
``A Note on Finite Sample Breakdown Points of Projection Based Multivariate Location and Scatter Statistics''

Metrika51: 259-265, 2000 Postscript (GSCN:3)


4. Y. Zuo and R. Serfling (1998) 
``General Notions of Statistical Depth Function''.

The Annals of Statistics. 28(2): 461-482, 2000. Postscript  PDF  (GSCN:212)


3. Y. Zuo and R. Serfling (1998)
``Structural Properties and Convergence Results for Contours of Sample Statistical Depth Functions''. 
 The Annals of Statistics. 28(2): 483-499, 2000. Postscript  PDF (GSCN:79)


2. Y. Zuo and R. Serfling (1998)
``Nonparametric Multivariate Notions of `Scatter' and `More Scattered' Based on Statistical Depth Functions''.

Journal of Multivariate Analysis. 75: 62-78, 2000. Postscript (GSCN:25)


1. Y. Zuo and R. Serfling (1998)

``On the Performance of Some Nonparametric Location Measures Relative to a General Notion of Multivariate Symmetry''.

Journal of Statistical Planning and Inference. 84: 55-79, 2000 Postscript (GSCN:32)


More published papers

Submitted papers

Ph.D. Thesis (which led to papers 1-4 above)