## Emeritus Professor

- Nonparametric Statistical Inference Theory and Methods;
- Extreme value Theory and its Applications.
- Quantile Regression Theory and Applications.
- Experimental Design and Regression Theory and Methods;
- Applied Probability, Stochastic Models and Queueing Theory;
- Survival Analysis and Risk models;
- Probability Distribution Theory and Limit theory;
- Monte Carlo Simulations and Resampling techniques.

**Representative Articles in Refereed Journals :**

**Peng, J., Li, Y., *Liu, C. and Huang, M. L. (2020)**, “On Subsequence Sum of a zero-sum Free sequence over Finite Abelian Groups”, * Journal of Number Theory*, May 26,2020. https://doi.org/10.1016/j.jnt.2020.04.024.

**Peng, J., Li, Y., *Liu, C. and Huang, M. L. (2020)**, “On the Inverse problems associated with Subsequence Sum of a zero-sum Free sequence over Finite Abelian Groups”, * Colloquium Mathematicum*, accepted on Dec. 17, 2019.

**Brill, P. H., Huang, M. L. and Hlynka, M. (2020)**, “On the Service Time in a Workload-Barrier M/G/1 Queue with Accepted and Blocked Customers”, * European Journal of Operations Research*, Volume 283, Issue 1 (16 May, 2020), pp. 235-243. https://doi.org/10.1016/j.ejo.2019.10.028.

**Gao, W., Huang, M. L., Hui, W., Li, Y., *Liu C. and Peng J., (2020)** “Sums of Sets of an Abelian Group Elements”, * Journal of Number Theory*, Volume 208 (2020), pp. 208-229. https://doi.org/10.1016/j.jnt.2019.07.026.

**Huang, M. L. and *Nguyen, C. (2018).** “A Nonparametric Approach on Quantile Regression”, *Journal of Statistical Distributions and Applications.**Volume 5,*

*Issue*

**3**,

*pp.1-14.*https://doi.org/10.1186/s40488-018-0084-9.

**Huang, M. L., Kerman, R. and *Spector, S. (2018).** “An Estimate of the Root Mean Square Error Incurred when Approximating an *f ∈ L*^{2}(**ℝ**) by a Partial Sum of its Hermite Series”, *Mathematics, 2018**Volume 6,*

*Issue*

**64**,

*pp.64-82*, https://doi.org/10.3390/math6040064.

**Huang, M. L. and *Rat, R. (2017).** “A New Weighted Quantile Regression”, ** Cogent Mathematics (2017), 4: 1357237**, pp. 1-19. https://doi.org/10.1080/23311835.2017.1357237.

**Huang, M. L. and *Nguyen, C. (2017).** “High Quantile Regression for Extreme Events”, *Journal of Statistical Distributions and Applications**Volume 4,*

*Issue*

**1**,

*Article*

**4**

*, pp.1-20*, https://doi.org/10.1186/s40488-017-0058-3.

**Huang, M. L., Xu, X., and Tashnev, D. (2015). **“A Weighted Quantile Linear Regression”, *Journal of statistical Computation and Simulation**Volume 85,*

*No.*

**13**, pp. 2596-2618.

**Ha, H., Huang, M. L., and Li, D. (2014). “**A Remark on Strong Law of Large Number for Weighted U-Statistics”, *Acta Mathematica Sinica, **Volume 30, No. 9, 1595-1605*.

**Coia, V. and Huang, M. L. (2014). “**A Sieve Model for Extreme Values”, *Journal of Statistical Computation and Simulation,**Volume 84,*

*No.*

**8,**pp. 1692-1710.**Fajardo, V. A. and Huang, M. L. (2014). **“A Least Square Method on Confidence Regions for High Quantile of Heavy Tailed Distributions”, *Advances and Applications in Statistics,**Volume 38, Number 2, pp. 81-111.*

**Huang, M. L. and Zhao, K. (2013). “**Weighted EfficientEstimation for Risk Models”, *ISRN Probability and Statistics,**Volume 2013, pp. 1-12*.

**Huang, M. L., Coia, V., and Brill, P. H. (2013). “**A Cluster Truncated Pareto Distribution and its applications”, *ISRN Probability and Statistics,**Volume 2013, pp. 1-10.*

**Huang, M. L., Yuen, W. K., and *hang, M. (2013). **“Efficient Methods on Confidence Intervals of Prediction Intervals”,** Advances and Applications in Statistics**,

*Volume*

**33**, No. 1, pp.1-21.**Yu, K., Huang, M. L., and Brill, P. H. (2012). **“An Algorithm for Fitting Heavy-Tailed Distributions with Generalized Hyperexponentials”, *INFORMS Journal on Computing,**Volume 24, No. 1, pp. 42-52.*

**Huang, M. L. (2011). “**Optimal Estimation for the Pareto Distribution”, *Journal of Statistical Computation and Simulation, **Volume 81, No. 12, pp. 2059-2076.*

**Huang, M. L. and Zhao, K. (2010). “**On Estimation of the Truncated Pareto Distribution”, *Advances and Applications in Statistics**, Volume 16, No. 1, pp. 83-102.*

**Huang, M. L. (2010). “**An Efficient Estimation Method for the Pareto Distribution”, *Journal of Statistics, Advances in Theory and Applications, **Volume 3, No. 1, pp. 61-78.*

**Huang, M. L. and Yuen, W. K. (2010). **“A Bivariate Density Estimation Method based on Level Crossings”, *Statistics, a Journal of Theoretical and Applied Statistics, **Volume 44, No. 1, pp.31-55.*

**Kerman, R., Huang, M. L., and Brannan, M. (2009).** “Error Estimates for Dominici’s Hermite Function Asymptotic Formula and Some Applications”, *The ANZIAM Journal,**Volume 50, pp.550-561*.

**Yuen, W. K.** **and Huang, M. L. (2009).** “A Weighted Bivariate Density Estimation Method”, *Advances and Applications in Statistics**, Volume 13, No. 2, pp. 181-191.*

**Brill, P. H., Huang, M. L., and Hlynka, M. (2009). **“A Note on an <s, S> Inventory System with Decay”, ** IAENG International Journal of Applied Mathematics**,

*Volume*

**39**, Issue**3**, pp. 171-174.**Huang, M. L. (2008). **“A Weighted Estimation Method for the Survival Function”, *Applied Mathematical Sciences, **Volume 2, No. 16, pp. 753-762.*

**Huang, M. L. Pollanen, M., and Yuen, W. K. (2007).** “An Efficient Randomized Quasi Monte-Carlo Method for the Pareto Distribution”, *Monte Carlo Methods and Applications, 13(1**), pp. 1-20.*

**Huang, M. L. (2007). **“A Quantile-Score Test for Experimental Design”, *Applied Mathematical Sciences, **Volume 1, No. 11, pp. 507-516.*

**Huang, M. L. (2006). **“The D-Stirling Numbers”, *International Mathematical Forum, Journal for Theory and Applications,**Volume 1, No. 17 – 20, pp. 867-884.*

**Huang, M. L. and Brill, P. H. (2004). “**A Level Crossing Distribution Estimation Method”, *Journal of Statistical Planning and Inference,** Volume 124, Number 1, pp. 45-62.*

**Huang, M. L. (2003). **“The Efficiencies of the Estimators for the D Distribution”, *The International Mathematical Journal, **Volume 4, Number 3, pp. 265-280.*

**Huang, M. L.(2003). **“The Risks of the Estimators for the R Distribution”, *The International Mathematical Journal,**Volume 3, Number 8, pp. 851-862.*

**Huang, M. L. (2002), **“The R Numbers and a Restricted Occupancy Model”, *The International Mathematics Journal**, Volume 1, Number 3, pp. 211-222.*

**Huang, M. L. (2001). **“On a Distribution-Free Quantile Estimator”, *Computational Statistics & Data Analysis,**Volume 37, Number 4, pp. 477-486.*

**Huang, M. L. and Brill, P. H. (2001). **“On Estimation of M/G/c/c Queues”, *International Transactions in Operational Research, **Volume 8, Number 6, pp. 647-657.*

**Huang, M. L. and Brill, P. H. (2001). **“A Nonparametric Regression Method”, *Nonlinear Analysis, Theory, Methods and Applications, **Volume 47, Number 3, pp. 1467-1475*.

**Li, D., Huang, M. L., and Rosalsky, A. (2000). **“Strong Invariance Principle for Arrays”, *Bulletin of the Institute of Mathematics Academia Sinica, **Volume 28, Number 3, pp. 167-181.*

**Huang, M. L. and Brill, P. H. (1999). “**A Level Crossing Quantile Estimation Method”, *Statistics and Probability Letters,**Volume 45, Number 4, pp. 111-119.*

**Li, D. and Huang, M. L. (1998). “**A Note on Moments of the Maximum of Cesàro Summation”, *Statistics and** Probability Letters, Volume 38, Number 1, pp. 73-81.*

**Huang, M. L., Kerman, R. A., and Weit, Y. (1997). “**Abel Summability of the Autoregressive Series for the Best Linear Least Squares Predictor”, *Illinois Journal of Mathematics,** Volume 41, Number 3, pp. 557-587.*

**Huang, M. L.** and **Fung, K. Y. (1997). **“On Moments and Cumulants of the D Compound Poisson Distribution”,*Statistical Papers,** Volume 38, Number 3, pp. 357-361.*

**Huang, M. L. and Brill, P. H. (1997). “**A Level Crossing Density Estimation Method”, *Nonlinear Analysis, Theory, Methods and Applications, **Volume 30, Number 7, pp. 4403-4414.*

**Huang, M. L. and Fung, K. Y. (1993). **“The D Compound Poisson Distribution”, *Statistische Hefte,** Volume 34, pp. 319-338.*

**Huang, M. L. and Fung, K. Y. (1993). **“The D Distribution and its Applications”, *Statistische Hefte,** Volume 34, pp. 143-159.*

**Huang, M. L. and Brill, P. H. (1991). “**Recurrence Relation for the Minimum Variance Unbiased Estimator for the Probability Function of the R Distribution”,*Communications in Statistics, Theory and Methods,**Volume 20, Number 12, pp. 4005-4019.*

**Huang, M. L. (1990). “**Recurrence Relation for the R Distribution”, *Communications in Statistics, Theory and Methods, **Volume 19, Number 1, pp. 145-154, 1990.*

**Huang, M. L. and Fung, K. Y. (1989). “**The R Distribution and its Applications”, *Communications in Statistics, Simulations and Computations, **Volume 18, Number 1, pp. 99-119.*

**Huang, M. L. and Fung, K. Y. (1989). “**Intervened Truncated Poisson Distribution”, *Sankhya, Series B, **Volume 51, pp. 302-310.*

**Huang, M. L. and Fung, K. Y. (1988). “**A More Generalized Stirling Distribution of the Second Kind”, *Communications in Statistics, Theory and Methods, **Volume 17, Number12, pp. 4337-4356.*

**Huang, M. L. (1984). “**Mathematical Methods for Minimal Cost Movement of Repairmen”, *Railway Science Journal,**Volume 3, pp. 24-27.*

**Huang, M. L. (1983). “**Frequency Analysis in Truncated Samples”, *Journal of China Railway Society, **Volume 5, Number 4, pp. 62-75.*