College of Arts & Sciences Mathematical Sciences

You are here:

Yuhlong Lio

Yuhlong Lio
Professor
Mathematics, College of Arts & Sciences
UD Dakota Hall 316
Phone: 605-677-5991
Bio:
Y. L. Lio received his BS (1977) in mathematics from National Cheng Kung University, MS (1979) in mathematics from National Central University and PhD (1987) in statistics from University of South Carolina at Columbia, South Carolina. He was an instructor (1979 - 1983) at Applied Mathemaitcs Department, Chung Yuan Christian University. He has been at USD since 1987. He has been invited as referees to review papers by more than twenty three international and peer-review journals. He is currently serving as associate editors for Journal of Statistical Computation and Simulation, Electronic Journal of Applied Statistical Analysis, and Editor Members for Birtish Journal of Mathematics and Computer Science. He is also an Editor in Chief for Journal of Statistics and Mathematics. More information is shown on his PERSONAL WEBSITE.
Teaching Interests:
Professor Yuhlong Lio likes to teach any course in mathematics. For examples, he likes to teach Calculus, Linear Algebra, Combinatorics, Matrixes, Theory of Numbers, Operations Research, Probability and Statistics, Theory of Statistics, Regression Analysis, Survival Analysis, Reliability, etc.
Research Interests:
Professor Yuhlong Lio has very broad research interests. He is interested in theoretical and methodology developments via mathematics. For example, Reliability, Survival Analysis, Bayes' Estimation, Kernel-Smooth Estimation, EM Algorithms , Acceptance Sampling Theory, Theoretical Schedule Setting for Maintenance Action, Mathematical Modeling based on life time and/or Degradation Measurements, etc. He has more than 40 papers. More information is shown on his PERSONAL WEBSITE.
Education:
  • Ph D, Statistics (Theoretical Statistics and Applied Statistics), University of South Carolina , 1987
  • MS, Mathematics, National Central University, 1979
  • BS, Mathematics, National Cheng-Kung University, 1977
Grants:
  • A Smooth Quantile Estimator under Right Censoring, General Research Minigrant, (1990 - 1990)
  • Faculty Development grant , University of Louisiana , (2009 - 2009)
  • South Dakota State Penitentiary Population Prediction, South Dakota State, (1989 - 1989)
  • Visiting Scholar, Mathematics Research Promotion Center, Ministry of Science and Technology, Institute of Mathematics, Academia Sinica, Taiwan, (2014 - 2014)
  • Visiting Scholar , National Science Council and Institute of Mathematics Academia Sinica in Taiwan, (2012 - 2012)
  • Visiting Scholar , National Science Council and Institute of Mathematics Academia Sinica in Taiwan, (2013 - 2013)
  • Visiting Scholar Grant, National Science Council and Institute of Mathematics Academia Sinica Taiwan, (2009)
  • Visiting Scholar Grant, National Science Council and Institute of Mathematics Academia Sinica in Taiwan, (2010 - 2010)
  • Visiting Scholar grant, National Science Council and Institute of Mathematics Academia Sinica in Taiwan, (2011 - 2011)
Publications:
  • Lin, Y., Lio, Y., Chen, D., Jiang, N., (2015), Modeling Based on Progressively Type-I Interval Censored Sample , Springer.
  • Tsai, T., Lio, Y., Jiang, N., , (2014), Optimal Decisions on the Accelerated Degradation Test Plan under the Wiener Process, Journal of Quality Technology and Quantitative Management, vol. 11, iss. 4, pp. 461-470.
  • Lio, Y., Tsai, T., Aslam, M., Jiang, N., (2014), Control Charts for Monitoring Burr Type X Percentiles, Communications in Statistics-Simulation and Computation, vol. 43, iss. 4, pp. 761-776. (DOI: 10.1080/03610918.2012.714033)
  • Chen, D., Chen, X., Lin, F., Tang, W., Lio, Y., (2014), Statistical Power Analysis for Cusp Catastrophe Polynomial Regression Model: A Simulation-Based Approach , Open Journal of statistics, vol. 4, iss. 10, pp. 803-813.
  • Lio, Y., Lu, J., Ruan, L., Robust Parameter Design for Quality and Reliability Issues Based on Accelerated Degradation Measurements, IEEE Transactions on Reliability.
  • Balakrishnan, N., Jiang, N., Tsai, T., Lio, Y., Lio, Y., Chen, D., Reliability Inference on Composite Dynamic Systems Based on Burr Type-XII Distribution, IEEE Transactions on Reliability.
  • Chiang, J., Sung, W., Tsai, T., Lio, Y., Sensitivity Analysis of Sample Allocation and Measurement Frequency under A Degradation Test with Gamma Process, ICIC Express Letters.
  • Aslam, M., Azam, M., Lio, Y., Jun, C., (2013), Two Stage Group Acceptance Sampling Plan for Burr Type X Percentiles, Journal of Testing and Evaluation, vol. 41, iss. 4, pp. 525-533.
  • Chen, D., Lio, Y., Jiang, N., Lower Confidence Limits on the Generalized Exponential Distribution Percentiles under Progressive Type-I Interval Censoring, Journal of Communications in Statistics-Simulation and Computation.
  • Lio, Y., Lin, Y., Ng, H., (2013), Bayes Estimation of Moran-Downton Bivariate Exponential Distribution based on Censored Samples, Journal of Statistical Computation and Simulation, vol. 83, iss. 5, pp. 837-852.
  • Lin, Y., Lio, Y., (2012), Bayesian Inference under Progressive Type-I Interval Censoring, Journal of Applied Statistics, vol. 39, iss. 8, pp. 1811-1824.
  • Lio, Y., Tsai, T., Chiang, J., (2012), Estimation on the Lower Confidence Limit of the Breaking Strength Percentiles under Progressive Type II Censoring, Journal of the Chinese Institute of Industrial Engineers.
  • Aslam, M., Jun, C., Lio, Y., Ahmad, M., Rasul, M., (2012), Group Acceptance Sampling Plans for Resubmitted Lots under Burr Type XII Distributions, Journal of the Chinese Institute of Industrial Engineers, vol. 28, iss. 8, pp. 606-615.
  • Tsai, T., Lin, C., Sung, Y., Chou, P., Chen, C., Lio, Y., (2012), Inference from Lumen Degradation Data under Wiener Diffusion Process, IEEE Transactions on Reliability, vol. 61, pp. 710-718.
  • Aslam, M., Lio, Y., Azam, M., Jun, C., (2012), Two-Stage Improved Group Plans for Burr Type XII Distributions , American Journal of Mathematics and Statistics, vol. 2, iss. 3, pp. 33-39.
  • Lio, Y., (2012), A Note on bayesian Estimation for the Negative-Binomial Model, vol. 2, pp. 81-90.
  • Lio, Y., Tsai, T., Wu, S., The Designs Acceptance Sampling for Strength Distributions with Percentiles, International Journal of Reliability, Quality and Safety Engineering , vol. 19, iss. 01. (DOI: DOI:10.1142/S0218539312500040; 1250004)
  • Healy, M., Lio, Y., Pal, N., Zhang, H., (2011), Inferences on Parameters of A Generalized Exponential Distribution, Journal of the Indian Statistical Association, vol. 49, iss. 2, pp. 177-198.
  • Chauhan, S. C., Ebeling, M. C., Maher, D. M., Koch, M. D., Watanabe, A., Aburatani, H., Lio, Y., Jaggi, M., MUC13 mucin augments pancreatic tumorigenesis, Journal of Molecular Cancer Therapeutics.
  • Chen, D., Peace, K. E., Yu, L., Lio, Y., Wang, Y., Approximating the Baseline Hazard Function by Taylor Series for Interval-censored Time-to-Event Data, Journal of Biopharmaceutical Statistics .
  • Aslam, M., Jun, C., Lio, Y., Ahmad, M., , (2011), Groups Acceptance Sampling Plans for the Generalized Rayleigh Distribution, International Journal of Intelligent Technologies and Applied Statistics, vol. 4, iss. 3, pp. 355-365.
  • Aslam, M., Mahmood, Y., Lio, Y., Tsai, T., Kham, M. A., Double Acceptance Sampling Plans for Burr Type XII Distribution Percentiles under the Truncated Life Test, Journal of the Operational Research Society.
  • Lio, Y., Chen, D., Tsai, T., (2011), Parameter Estimations for Generalized Rayleigh Distribution under Progressively Type-I Interval Censored Data, American Open Journal of Statistics, vol. 1, iss. 2, pp. 46-57. (DOI: doi:10.4236/ojs.2011.12006)
  • Aslam, M., Shoaib, M., Lio, Y., Jun, C., (2011), Improved Group Acceptance Sampling Plan for Marshal-Olkin Extended Lomax Distribution Percentiles, International Journal of Current Research and Review, vol. 3, iss. 6, pp. 10-25.
  • Tsai, T., Liu, P., Lio, Y., , (2011), Optimal Maintenance Time for Imperfect Maintenance Actions on Repairable Product, Computers & Industrial Engineering, vol. 60, pp. 744-749.
  • Shoaib, M., Aslam, M., Lio, Y., (2011), Acceptance Decision Rule for Multiple Items under the Truncated Life Test for Birnbaum-Saunders Distribution Percentiles, World Applied Sciences Journal, vol. 12, iss. 10, pp. 1745-1753.
  • Lio, Y., Tsai, T., Estimation of delta=P(X<Y) for Burr XII Distributions Based on Progressively First Failure-censored Samples, Journal of Applied Statistics. (DOI: DOI:10.1080/02664763.2011.586684 )
  • Chen, D., Lio, Y., , (2010), Parameter estimations for generalized exponential distribution under progressive type-I interval censoring, Journal of Computational Statistics and Data Analysis, vol. 54, iss. 6, pp. 1581-1591.
  • Lio, Y., Park, C., (2010), A bootstrap control chart for inverse Gaussian percentiles, Journal of Statistical Computation and Simulation, vol. 80, pp. 287-299.
  • Lio, Y., Tsai, T., Wu, S., (2010), Acceptance Sampling Plans from Truncated Life Tests Based on the Burr type XII Percentiles, Journal of the Chinese Institute of Industrial Engineers, vol. 27, iss. 4, pp. 270-280.
  • Lio, Y., Tsai, T., Wu, S., (2010), Acceptance Sampling Plans from Truncated Life Tests Based on the Birnbaum-Saunders Distribution for Percentiles, Journal: Communications in Statistics-Simulation and Computation, vol. 39, iss. 1, pp. 119-136.
  • Chen, D., Lio, Y., (2009), A Note on the Maximum Likelihood Estimation for the Generalized Gamma Distribution Parameters under Progressive Type-II Censoring , International Journal of Intelligent Technology and Applied Statistics, vol. 2, iss. 2, pp. 57-64.
  • Lio, Y., Chen, D., (2009), A Novel Estimation Approach for Mixture Transition Distribution Model in High-Order Markov Chains, Communications in Statistics-Simulation and Computation, vol. 38, iss. 5, pp. 990-1003.
  • Chauhan, S. C., Vannatta, K., Ebeling, M. C., Vinayek, N., Watanabe, A., Pandev, K. K., Bell, M. C., Koch, M. D., Aburatani, H., Lio, Y., Jaggi, M., (2009), Expression and functions of transmembrane mucin MUC13 in ovarian cancer, Cancer Research, vol. 69, iss. 3, pp. 765-774.
  • Lio, Y., Tsai, T., Chiang, J., (2009), Parameter Estimations for the Burr Type XII Distribution under Progressive Type II Censoring , ICIC Express Letters-An International Journal of Research and Surveys, vol. 3, pp. 1459-1464.
  • Lio, Y., (2009), A Note on Bayesian Estimation for the Negative-Binomial Model, Journal of Plisk Stud. Math Bulgar, vol. 19, pp. 207-216.
  • Lio, Y., (2008), A Pratical Implementation for Bandwidth Selection in Kernel Distribution Function Estimators, International Journal of Pure and Applied Mathematics, vol. 42, iss. 04, pp. 569-573.
  • Chen, D., Lio, Y., (2008), Comparative Studies on Frailities in Survival Analysis, Communications in Statistics-Simulation and Computation, vol. 37, iss. 8, pp. 1631-1646. (DOI: 10.1080/03610910802061727 )
  • Lio, Y., Park, C., (2008), A Bootstrap Control Chart for Birnbaum-Saunders Percentile, Journal: Quality and Reliability Engineering International , vol. 24, iss. 5, pp. 585-600. (DOI: 10.1002/qre.924)
  • Chauhan, S. C., Vinayek, N., Maher, D. M., Bell, M. C., Dunham, K. A., Koch, M. D., Lio, Y., Jaggi, M., (2007), Combined staining of TAG-72, MUC1 and CA 125 improves labeling sensitivity in ovarian cancer: Antigens for multi-targeted antibody guided therapy, The Journal of Histochemistry and Cytochemistry, vol. 55, iss. 8, pp. 867-875.
Awards and Honors:
  • Nominee of Belbas Larson Awards for Excellence in Teaching, USD, 2014
  • Richard and Sharon Cutler Faculty Award in Liberal Arts, College of Arts and Sciences, 2008
Presentations:
  • Tsai, T., Jiang, J., Lio, Y., Jiang, N., Fan, Y. (2015, March). Parameter Estimation of the Burr Type XII Distribution with a Progressively Interval-Censored Scheme Using Genetic Algorithm. Presented at the International Conference on Industrial Application Engineering, Kitakyushu, Japan.
  • Lio, Y., Lin, Y. (2014, August). Bayesian Model Selection under Progressive Type-I interval censoring. Presented at the the 2014 International Joint Statistical Meetings, Boston, Massachusetts.
  • Lio, Y., Lin, Y., Ng, H. (2014, August). Bayesian Estimate of Strength Analysis for Downton’s Bivariate Exponential Distribution under Type-II censoring. Presented at the the 2014 Joint Statistical Meetings, Boston, Massachusetts.
  • Lio, Y., Nishimura, K., Chen, D., Miyamoto, Y. (2014, August). Comparative Studies for Cox hazards model Based on the Suita Study. Presented at the the 2014 Joint Statistical Meetings, Boston, Massachusetts.
  • Brown, T., Lio, Y., Jiang, N. (2014, August). Quality Control Charts for Generalized Exponential Lifetime Percentiles. Presented at the the 2014Iinternational Joint Statistical Meetings , Boston, Massachusetts.
  • Lio, Y., Tsai, T., Lin, C., Sung, Y., Chou, P., Chen, C., Jiang, N., Chiang, J. (2014, July). Planning Acceierated Degradation Test with Wiener Diffusion Process. Presented at the The 3rd Institute of Mathematical Statistics Asia Pacific Rim Meeting, Taipei, Taiwan.
  • Lio, Y., Chiang, J., Sung, ., Tsai, T. (2014, June). Sensitivity Analysis of Sample Allocation and Measurement Frequency under a Degradation Test with Gamma Process. Presented at the The Ninth International Conference on Innovative Computing, Information and Control (ICICIC2014), Busan, Korea.
  • Lio, Y. (2014, May). Robust Parameter Design for Quality and Reliability Issues Based on Accelerated Degradation Measurements. Presented at the Invited Talk, Hsinchu, Taiwan.
  • Lio, Y. (2014, May). A Survey of Modeling for Progressively Type-I Interval Censored Data. Presented at the Invited Talk, Tai-Nan, Taiwan.
  • Lio, Y. (2014, May). Double Acceptance Sampling Plans for Burr Type XII Distribution Percentiles under the Truncated Life Test. Presented at the Invited Talk, Chung-Li, Taiwan .
  • Lio, Y., Chen, D. (2014, May). Generalized Exponential Distribution for Interval Censored Time-to-Event Data. Presented at the Invited Talk, Taipei, Taiwan.
  • Rezac, J., Lio, Y., Jiang, N. (2014, April). Control Charts for Monitoring Burr Type-XII Percentiles. Presented at the 2014 National Conference on Undergraduate Research, University of Kentucky.
  • Lio, Y. (2013, October). Inference and Experimental Planning for Lumen Degradation Data under A Wiener Diffusion Process. Presented at the Invited Talk , Atlanta, Georgia.
  • Lio, Y. (2013, October). Approximating the Baseline Hazard Function by Taylor Series for Interval-Censored Time-to-Event Data. Presented at the Mathematics Seminar, USD.
  • Lio, Y. (2013, August). Bayes Estimation of Moran-Downton Bivariate Exponential Distribution Based on Censored Samples. Presented at the The 2013 International Joint Statistical Meetings, Montreal, Canada.
  • Lio, Y. (2013, August). Prediction Intervals for Future Order Statistics from Generalized Modified Weibull Distribution. Presented at the The 2013 International Joint Statistical Meetings , Montreal, Canada.
  • Lio, Y. (2013, May). Bootstrap Control Charts for Monitoring Distribution Percentiles. Presented at the Invited Presentation , Chung-Li, Taiwan.
  • Lio, Y. (2013, May). A recent development in Lifetime Reliability. Presented at the Invited Presentation, Taipei, taiwan.
  • Lio, Y. (2013, May). A Note on the Maximum Likelihood Estimators of parameters of A Generalized Exponential Distribution. Presented at the Invited Presentation, Taipei, Taiwan.
  • Lio, Y., Tsai, T. (2013, March). Inference from Lumen Degradation Data and Planning under Wiener Diffusion Process. Presented at the Invited presentation , Taiwan .
  • Chen, D., Lio, Y., Jiang, N. (2012, May). Lower Confidence Limits on the Percentiles of Generalized Exponential Distribution under Progressive Type-I Interval Censoring. Presented at the Department of Applied Mathematics, Chung-Yuan Christian University, Taiwan.
  • Chen, D., Yu, L., Peace, K. E., Lio, Y., Wang, Y. (2012, May). Approximating the Baseline Hazard Function by Taylor Series for Interval-censored Time-to-even Data. Presented at the Department of Applied Mathematics, Chung-Yuan Christian University , Taiwan.
  • Chen, D., Yu, L., Lio, Y. (2011, August). Fractional Polynomials in Analysis Interval-censored Time to Event Data. Presented at the International Joint Statistical Meetings/Survival Analysis in the Presence of Complex Censoring, Miami Beach, Florida.
  • Lio, Y., Chen, D. (2011, July). Simulation Study for the Estimations of Generalized Rayleigh Parameters under Progressive Type-I Interval Censoring. Presented at the International Joint Statistical Meetings/Advances in Monte Carlo Simulation, Miami Beach, Florida.
  • Lio, Y., Chen, D. (2011, May). Parameter Estimations for Generalized Rayleigh Distribution Based on Progressively Type-I Interval Censored Data. Presented at the 2011 Cross-Strait Symposium on Applied Statistics, Taiwan.
  • Lio, Y. (2011, May). Acceptance Sampling Plans for Percentiles Based on Truncated Life Tests.
  • Lio, Y. (2011, May). Estimation of P(X<Y) for Burr XII Distributions Based on Progressive First Failure-censored Samples.
  • Chen, D., Lio, Y. (2010, August). A parametric bootstrap procedure for the generalized exponential distribution under type-I interval censoring. Presented at the Joint Statistical Meetings, Vancouver, Canada.
  • Chen, D., Lio, Y., Wang, Y. (2010, August). Bias and Possible Remedies in Oncology Time-to-Even Data . Presented at the Joint Statistical Meetings, Vancouver, Canada.
  • Chen, D., Lio, Y., Peace, K. E., Wang, Y., Yu, L. (2010, July). Interval-Censoring in Biomedical and Biopharmaceutical Clinical Trials. Presented at the 2010 International Conference on Bioinformatics and Computational Biology, Las Vegas, USA.
  • Lio, Y. (2010, June). Comparative Studies on Frailties in Survival Analysis. Presented at the 2010 Conference of the Intelligent Technologies and Applied Statistics, Taipei, Taiwan.
  • Lio, Y. (2010, June). A Novel Estimation Approach for Mixture Transition Distribution Model in High Order Markov Chains.
  • Lio, Y. (2010, May). A Novel Estimation Approach for Mixture Transition Distribution Model in High Order Markov Chains.
  • Tsai, T., Liu, P., Lio, Y. (2010, May). Optimal Maintenance Time for Imperfect Maintenance Actions on Repairable Product. Presented at the Annual Conference of the Chinese Institute of Probability and Statistics, Taiwan.
  • Lio, Y., Tsai, T., Wu, S. (2009, December). Acceptance Sampling Plans from Truncated Life Tests for the Birnbaum-Saunders Distribution Percentiles. Presented at the The ASA Louisiana chapter meeting , Baton Rouge, Louisiana.
  • Lio, Y. (2009, December). A Biostatics Workshop on Survival Analysis with Applications in Cancer Studies.
  • Lio, Y. (2009, December). Survival Analysis. Presented at the WorkShop on Survival Analysis , Department of Mathematics .
  • Lio, Y., Tsai, T., Chiang, J. (2009, September). Parameter Estimations for the Burr Type-XII Distribution under Progressive Type II Censoring. Presented at the The Session on Fuzzy Logic & Applied Statistics of The Second International Symposium on Intelligent Informatics, QinHuang Dao, China.
  • Lio, Y. (2009, July). Parameter Estimations for Generalized Exponential Distribution under Progressive Type-I Interval Censoring.
  • Lio, Y. (2009, July). Parameter Estimations for Generalized Exponential Distribution under Progressive Type-I Interval Censoring.
  • Lio, Y. (2009, January). Mixture Transition Distribution Model in High-Order Markov Chains.
  • Lio, Y., Chen, D. (2008, August). Simulation Studies for Mixture Transition Distribution Model in High-Order Markov Chains. Presented at the International Joint Statistics Meetings , Denver, CO.
  • Lio, Y. (2008, June). A Note on Bayesian Estimation for Negative-Binomial Model. Presented at the The XIII International Summer Conference on Probability And Statistics, Bulgaria.