Books

  1. Ravishanker, N., Chi, Z., Dipak, D. (2021). A First Course in Linear Model Theory, Chapman & Hall, 2nd Edition. Errata.

Publications

  1. Wu, H., Mao, D., Zhang, Y., Chi, Z., Stitzel, M., Ouyang, Z. (2021). A new graph-based clustering method with application to single-cell RNA-seq data from human pancreatic islets.  NAR Genomics and Bioinformatics. 3(1), lqaa087.
  2. Gwon, Y., Mo, M., Cheng, M.-H., Chi, Z., Li, J., Xia, A.H., Ibrahim, J.G. (2020). Network meta-regression for ordinal outcomes: applications in comparing Crohn's disease treatments.  Stat. in Medicine. 39(13), 1846–1870.
  3. Rayaprolu, S., Chi, Z. (2021). False discovery variance reduction in large scale simultaneous hypothesis tests.  Methodol. Comput. Appl. Probab. 23(2), 711–733.
  4. Chi, Z. (2020). Law of the first passage triple of a spectrally positive strictly stable process.  J. Theor. Probab. 33, 715–748.
  5. Chi, Z. (2018). On a multivariate strong renewal theorem.  J. Theor. Probab. 31, 1235–1272.
  6. Chi, Z. (2016). Random reversible Markov matrices with tunable extremal eigenvalues.  Ann. Appl. Probab. 26, 2257–2272.
  7. Chi, Z., Pozdnyakov, V., and Yan. J. (2015). On expected occupation time of Brownian bridge.  Statist. & Probab. Letters. 97, 83–87.
  8. Sinha, A., Chi, Z., and Chen, M.-H. (2015). Bayesian inference of hidden Gamma wear process model for survival data with ties.  Statistica Sinica. 25, 1613–1635. Proofs of the results arein here.
  9. Chi, Z. (2015). Strong Renewal Theorems with infinite mean beyond local large deviations.  Ann. Appl. Probab. 25, 1513–1539.
  10. Chi, Z. (2014). Nonnormal small jump approximation of infinitely divisible distributions.  Adv. Appl. Probab. 46, 963–984. This is part of the report of the same title (UConn Stat TR 13-13.)
  11. Chi, Z. (2014). Integral criteria for Strong Renewal Theorems with infinite mean.  UConn Stat TR 13-46.
  12. Guan, C., Luh, P. B., Michel, L. D., and Chi, Z. (2013). Hybrid Kalman filters for very short-term load forecasting and prediction interval estimation. IEEE Trans. Power Systems 28(4), 3806–3817.
  13. Chi, Z. (2012). On exact sampling of the first passage event of Lévy process with infinite Lévy measure and bounded variation.  UConn Stat TR 12-28.
  14. Chi, Z. (2012). On exact sampling of nonnegative infinitely divisible random variables.  Adv. Appl. Probab. 44(3), 842–873.
  15. Chi, Z. (2011). Effects of statistical dependence on multiple testing under a hidden Markov model.  Ann. Statist 39(1), 439–473.
  16. Chi, Z. (2011). Multiple hypothesis testing on composite nulls using constrained p-values.  Electronic J. Statist. 4, 271–299. R code to compute the constrained p-values and some instructions.
  17. Rauske, P. L., Chi, Z., Dave, A. S., and Margoliash, D. (2010). Neuronal stability and drift across periods of sleep: premotor activity patterns in a vocal control nucleus of adult zebra finches.  J.Neurosci. 30(7), 2783–2794.
  18. Meliza, C. D., Chi, Z., and Margoliash, D. (2010). Representations of conspecific song by starling secondary forebrain auditory neurons: towards a hierarchical framework.  J. Neurophysio. 103, 1195–1208.
  19. Chi, Z. (2009). Data volume and power of multiple tests with small sample size per null.  Comm. Statist. Theory & Methods. 38(16-17), 2784–2803.
  20. Chi, Z. and Tan, Z. (2008). Positive false discovery proportions: intrinsic bounds and adaptive control.  Statistica Sinica. 18(3) 837–860.
  21. Chi, Z. (2008). False discovery rate control with multivariate p-values.  Electronic J. Statist. 2, 368–411. (This is almost completely different from TR 06-10).
  22. Chi, Z. (2007). On the asymptotic of likelihood ratios for self-normalized large deviations.  UConn Stat TR 07-26.
  23. Chi, Z. (2007). Sample size and positive false discovery rate control for multiple testing.  Electronic J. Statist. 1, 77–118.
  24. Chi, Z. (2007). Uniform convergence of exact large deviations for renewal reward processes.  Ann. Appl. Probab. 17(3), 1019–1048.
  25. Chi, Z. (2007). On the performance of FDR control: constraints and a partial solution.  Ann. Statist. 35(4), 1409–1431. The proofs of main mathematical results are in the supplemental materials.
  26. Chi, Z., Wu, W., Haga, Z., Hatsopoulos, N. G., and Margoliash, D. (2007). Template-based spike pattern identification with linear convolution and dynamic time warping.  J. Neurophysio. 97(2), 1221–1235.
  27. Chi, Z. (2006). False discovery rate control with multivariate p-values.  UConn Stat TR 06-10.
  28. Chi, Z. (2004). Large deviations for template matching between point processes.  Ann. Appl. Probab. 15(1A), 153–174.
  29. Chi, Z. (2003). Limit laws of estimators for critical multi-type Galton-Watson processes.  Ann. Appl. Probab. 14(4), 1992–2015.
  30. Stein, M. L., Chi, Z. and Welty, L. J. (2003). Approximating likelihoods for large spatial datasets.  J. R. Stat. Soc. Ser. B 66(2), 275–296.
  31. Chi, Z., Rauske, P. L., and Margoliash, D. (2003). Pattern filtering for detection of neural activity, with examples from HVc activity during sleep in zebra finches.  Neural Comput. 15(10), 2307–2338.
  32. Chi, Z., Rauske, P. L., and Margoliash, D. (2003). Detection of spike patterns using pattern filtering, with applications to sleep replay in birdsong.  Neurocomputing 52–54, 19–24.
  33. Geman, S., Potter, D. F., and Chi. Z. (2002). Composition system.  Quart. Appl. Math. 60(4), 707–736.
  34. Chi, Z. (2001). Stationary self-similar random fields on the integer lattice.  Stochatic Process. Appl. 91, 99–113.
  35. Chi, Z. (2001). Construction of stationary self-similar generalized fields by random wavelet expansion.  Probab. Theory Relatated Fields 121(2), 269–300.
  36. Chi, Z. and Margoliash, D. (2001). Temporal precision and temporal drift in brain and behavior of zebra finch song.  Neuron 32, 899–910.
  37. Chi, Z. (2001). Stochastic sub-additivity approach to conditional large deviation principle.  Ann. Probab. 29(3), 1303–1328.
  38. Chi, Z. (2001). The first order asymptotic of waiting times with distortion between stationary processes.  IEEE Trans. Infor. Theory 47(1), 338–347.
  39. Johnson, M., Geman, S., Canon, S., Chi, Z., and Riezler, S. (1999). Estimators for stochastic “unification-based” grammars.  Proc. Assoc. Comput. Linguist.
  40. Chi, Z. (1999). Statistical properties of probabilistic context-free grammars.  Comput. Linguist. 25(1), 131–160.
  41. Chi, Z. and Geman, S. (1998). On consistency of minimum complexity nonparametric estimation.  IEEE Trans. Infor. Theory 44(5), 1968–1973.
  42. Chi, Z. and Geman, S. (1999). Estimation of probabilistic context-free grammars.  Comput. Linguist. 24(2), 299–305.
Unpublished manuscript:

Conditional large deviation principle for finite state Gibbs random fields. (This paper was written in 2002. The proof was “à la Shannon-McMillan-Breiman”. It was later pointed out by a referee that some of the results had been obtained before, although in a different form.)

Unpublished parts of my PhD thesis that are often requested:

Table of contents
Chapter 3
Chapter 6
Chapter 7