Research

Recent Publications

*indicates the correspondence author

Google Scholar

Research Gate

Mathematics Genealogy Project

Papers in Mathematics

- 1. Lio, Yuhlong, Tsai, Tzong-Ru, Jiang, Nan and Balakrishnan, Narayanaswamy (2017). A Dynamic System for Gompertz Model. Accepted by Journal of Statistical Computation and Simulation.
  2. Chiang, Jyun-You, Lio, Yuhlong, and Tsai, Tzong-Ru (2017). MEWMA Control Chart and Process Capability Indices for Simple Linear Profiles with Within-Profile Autocorrelation. Journal of Quality and Reliability Engineering International, V33, 1083-1094.
  3. Chiang, Jyun-You, Zhu, Jianping, Tsai, Tzong-Ru, Lio, Yuhlong, and Jiang, Nan. (2017). An Innovative Sampling Scheme for Resubmitted Lots by Attributes. The International Journal of Advanced Manufacturing Technology, V91, 4019-4031.
  4. Chiang, Jyun-You, Jiang, Nan, Tsai, Tzong-Ru, and Lio, Yuhlong. (2017). Inference of P(X<Y) for Burr XII Distributions with Record samples. Accepted by Communications in Statistics- simulation and computation.
  5. Chiang, J-Y, Jiang, Nan, Brown, T., Tsai, T.-R. and Lio, Y.L. (2016). Control Charts for generalized exponential distribution percentiles. Accepted by Communication in Statistics- Simulation and Computation.
  6. Tsai, Tzong-Ru, Lio, Y.L. and Chiang, J-Y. (2016). MEWMA Control Chart and Process Capability Indices for Simple Linear Profiles with Within-Profile Autocorrelation. Journal of Quality and Reliability Engineering International. http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1683.
  7. Tsai, Tzong-Ru and Lio, Y.L. (2016). Study for Reaching a Degradation Test Plan. Proceedings of the 4th IIAE International Conference on Industrial Application Engineering.
  8. Tsai, Tzong-Ru, Sung, Wen-Yen, Lio, Yuhlong, Chang, Shing I., and Lu, Jye-Chyi (2016). Optimal Two-Variable Accelerated Degradation Test Plans for Gamma Degradation Processes. IEEE Transactions on Reliability, V65, 459-468.
  9. Lin, Yu-Jau, Okasha, H.M., and Lio, Yuhlong (2016). Prediction Intervals for Future Order Statistics from A Generalized Modified Weibull. Vol. 45, Iss. 10. Communications in Statistics - Computation and Simulation, V45, 3508-3527. (DOI: DOI:10.1080/03610918.2014.1002847)
  10. Chiang, Jyun-You, Lio, Yuhlong, and Tsai, Tzong-Ru (2016). Empirical Bayesian Strategy for Sampling Plans with Warranty under Truncated Censoring. Vol. 23, Iss. 5. International Journal of Reliability, Quality & Safety Engineering. (DOI: 10.1142/S0218539316500212)
  11. Joseph Rezac, Y.L. Lio and Nan Jiang (2015). Burr Type-XII Percentile Control Charts. Accepted by Chilean Journal of Statistics, V6, pp67-87.
  12. Jyun-You Chiang, Tzong-Ru Tsai, Y.L. Lio, Wanbo Lu and Daimin Shi (2015). An Integrated Approach for Optimization of Tolerance Design and Quality Cost. Journal of Computers & Industrial Engineering, V87, pp186-192.
  13. Jyun-You Chiang, Tzong-Ru Tsai, Wen-Yun Sung and Y.L. Lio (2015). Sensitivity Analysis of Sample Allocation and Measurement Frequency under A Degradation Test with Gamma Process. ICIC Express Letters, Part B: Applications, V6, pp737-742.
  14. Tzong-Ru Tsai, Nan Jiang and Y.L. Lio, (2015). Economic Design of the Life Test with A Warranty Policy. Accepted by Journal of Industrial and Production Engineering, V32, 225-231.
  15. Y.L. Lio, Jye-Chyi Lu and Lingyan Ruan (2015). Robust Parameter Design for Quality and Reliability Issues Based on Accelerated Degradation Measurements. IEEE Transactions on Reliability V64: 949-959.
  16. Jyun-You Chiang, Tzong-Ru Tsai, Wen-Yun, Sung and Y.L. Lio (2015). Sensitivity Analysis of Sample Allocation and Measurement Frequency under a Degradation Test with Gamma Process. Accepted by ICIC Express Letters, Part B: Applications; V6,I3:737-742.
  17. Ding-Geng Chen, Xinguang Chen, Feng Lin, Wan Tang and Y.L. Lio (2014). Cusp Catastrophe Polynomial Model: Power and Sample Size Estimation. Open Journal of Statistics; V4: 803-813.
  18. Jyun-You Chiang, Y.L. Lio and Tzong-Ru Tsai (2014). Degradation Tests Using Geometric Brownian Motion Process for Lumen Degradation Data. Accepted by Quality and Reliability Engineering International.
  19. Narayanaswamy Balakrishnan, Nan Jiang, Tzong-Ru Tsai, Y.L. Lio* and Ding-Geng Chen (2014). Reliability Inference on Composite Dynamic Systems Based on Burr Type-XII Distribution. Accepted by IEEE Transactions on Reliability.
  20. Y.L. Lio*, Tzong-Ru Tsai, M. Aslam and Nan Jiang (2014). Control Charts for Monitoring Burr Type-X Percentiles. Communications in Statistics-Simulation and Computation; V43:761-776.
  21. Tzong-Ru Tsai, Y.L. Lio* and Nan Jiang (2014). Optimal Decisions on the Accelerated Degradation Test Plan under Wiener Process. Journal of Quality Technology and Quantitative Management; V11:461-470.
  22. Muhammad Aslam*, Y.L. Lio, Chi-Hyuck Jun (2013). Repetitive Acceptance Sampling Plans for Burr Type XII Percentiles. International Journal of Advanced Manufacturing Technology; V68:495-507.
  23. Muhammad Aslam*, Muhammad Azam, Y.L. Lio and Chi-Hyuck Jun (2013). Two Stage Group Acceptance Sampling Plan for Burr Type X Percentiles. Journal of testing and Evaluation; V41(July).
  24. D.G. Chen, Y.L. Lio* and Nan Jiang (2013). Lower confidence limits on the generalized exponential distribution percentiles under progressive type-I interval censoring. Communications in Statistics- Simulation and Computation; V42:2106-2117.
  25. Yu-Jau Lin, Y.L. Lio and Hon Keung Ng* (2013). Bayesian Estimation of Moran-Downton Bivariate Exponential Distribution based on Censored Samples. Journal of Statistical Computation and Simulation; V83:837-852.
  26. Tzong-Ru Tsai, Chin-Wei Lin, Yi-Ling Sung, Pei-Ting Chou, Chiu-Ling Chen and Y.L. Lio* (2012). Inference from Lumen Degradation Data under Wiener Diffusion Process. IEEE Transactions on Reliability; V61:710-718.
  27. Muhammad Asham, Y.L. Lio, Muhammad Azam and Chi-Hyuck Jun (2012). Two-Stage Improved Group Plans for Burr Type XII Distributions. American Journal of Mathematics and Statistics V2. No.3:33-39.
  28. Yu-Jau Lin and Y. L. Lio* (2012). Bayesian Inference under Progressive Type-I Interval Censoring. Journal of Applied Statistics V39(8) 1811-1824.
  29. Muhammad Aslam*, Yasar Mahmood, Y. L. Lio, Tzong-Ru Tsai and Masood Amjad Khan (2012). Double Acceptance Sampling Plans for Burr Type XII Distribution Percentiles under the Truncated Life Test. Journal of the Operational Research Society. V63:1010-1017.
  30. Y.L. Lio, Tzong-Ru Tsai* and Jyun-You Chiang (2012). Estimation on the lower confidence limit of the breaking strength percentiles under progressive type-II censoring. Journal of the Chinese Institute of Industrial; V29: 16-29
  31. Y.L. Lio, Tzong-Ru Tsai* and Shuo-Jye Wu (2012). The Designs of Acceptance Sampling for Strength Distributions with Percentiles. International Journal of Reliability, Quality and Safety Engineering; V19N.01; DOI:10.1142/S0218539312500040; 1250004.
  32. Tzong-Ru Tsai*, Y.L. Lio, Shing I Chang*, Shih-Hsiung Chou and Yi-Ting Chen (2012). An Adaptive Multivariate Control Chart for Individual Observations with Adaptive EWMS Star Glyphs for Diagnosis. International Journal of Intelligent Technologies and Applied Statistics; V5: 57-74.
  33. Lio, Y. L.* and Tsai, Tzong-Ru (2012). Estimation of \delta=P(X<Y) for Burr XII Distribution Based on the Progressively First Failure-censored Samples; Journal of Applied Statistics; V39(2):309-322
  34. Muhammad Aslam*, Chi-Hyuck Jun, Y.L. Lio, Munir Ahmad and Mujahid Rasool (2011). Group Acceptance Sampling Plans for Resubmitted Lots under Burr Type XII Distribution. Journal of the Chinese Institute of Industrial Engineers; V28,:606-615
  35. Ding-Geng Chen*, Luili Yu, Karl E. Peace, Y. L. Lio and Yibin Wang (2011). Approximating the Baseline Hazard Function by Taylor Series for Interval-Censored Time-to-Event Data. Accepted by Journal of Biopharmaceutical Statistics.
  36. Muhammad Aslam*, Chi-Hyuck Jun, Y. L. Lio and Munir Ahmad (2011). Group Acceptance Sampling Plans for the Generalized Rayleigh Distribution. International Journal of Intelligent Technologies and Applied Statistics; V4(3):355-365.
  37. Healy, Matthew, Lio, Y. L., Pal Nabendu* and Zhang, Haochun (2011). Inferences on Parameters of A Generalized Exponential Distribution. Journal of the Indian Statistical Association; V49(2):177-198.
  38. Lio, Y.L.*, Chen, D.-G. and Tsai, Tzong-Ru. (2011). Parameter Estimations for Generalized Rayleigh Distribution under Progressively Type-I Interval Censored Data. American Open Journal of Statistics; V1(2):46-57.
  39. Muhammad Shoaib, Muhammad Aslam and Y. L. Lio (2011). Acceptance Decision Rule for Multiple Items under the Truncated Life Test for Birnbaum-Saunders Distribution Percentiles; World Applied Sciences Journal, V12:1745-1753.
  40. Muhammad Aslam, Muhammad Shoiab, Y.L. Lio and Chi-Hyuck Jun (2011). Improved Group Acceptance Sampling Plan for Marshal-Olkin Extended LOMAX Distribution Percentiles; International Journal of Current Research and Review, V3,Issue 6:10-25.
  41. Tsai, Tzong-Ru, Liu, Pang-Hsu and Lio, Y. L.* (2011) “Optimal Maintenance Time for Imperfect Maintenance Actions on Repairable Product”; Computers & Industrial Engineering; V60:744-749.
  42. Lio, Y.L., Tsai, Tzong-Ru and Wu, Shuo-Jye (2010). “Acceptance Sampling Plans from Truncated Life Tests Based on the Burr type XII Percentiles”;Journal of the Chinese Institute of Industrial Engineers; V27:270-280.
  43. Lio, Y.L.*, Tsai, Tzong-Ru and Wu, Shuo-Jye (2010). “Acceptance Sampling Plans from Truncated Life Tests Based on the Birnbaum-Saunders Distribution for Percentiles”; Communications in Statistics-Simulation and Computation; V39:119-136.
  44. Chen, D. G. and Lio, Y. L.* (2010) “Parameter Estimations for Generalized Exponential Distribution under Progressive Type-I Interval Censoring”; Computational Statistics and Data Analysis; V54:1581-1591.
  45. Lio, Y. L.* and Park, Chanseok (2010). “A Bootstrap Control Chart for inverse Gaussian Percentiles”; Journal of Statistical Computation and Simulation; Vol 80:287-299.
  46. Chen, Ding-Geng and Lio, Y. L.* (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, No.2; 57-64.
  47. Lio, Y. L., Tzong-Ru Tsai* and Jyun-You Chiang (2009) “Parameter Estimations for the Burr Type XII Distribution under Progressive Type II Censoring”; ICIC Express Letters-An International Journal of Research and Surveys; V3 N4(B): 1459-1464.
  48. Lio, Y. L.*, Tzong-Ru Tsai and Shuo-Jye Wu (2009). “Tables of Acceptance Sampling Plans from Truncated Life Tests Based on the Birnbaum-Saunders Distribution Mean”
  49. Chen, D.G. and Lio, Y. L.* (2009).”A Novel Estimation Approach for Mixture Transition Distribution Model in High-Order Markov Chains”; Communications in Statistics-Simulation and Computation, V38, Issue 5:990-1003.
  50. Lio, Y. L.* (2009). “A Note on Bayesian Estimation for the Negative-Binomial Model”, Plisk Stud. Math. Bulgar V19:207-216.
  51. Chen, D.G. and Lio, Y. L.*(2008). “Simulation Studies for Mixture Transition Distribution Model in High-Order Markov Chains”, Biometrics Section-JSM Proceedings: 3693-3700.
  52. Chen, D.G. and Lio, Y. L.* (2008). “Comparative Studies on Frailties in Survival Analysis”; Communications in Statistics-Simulation and Computation V37, Issue 8, 1631-1646.
  53. Lio, Y. L.* and Park, Chanseok (2008). “A Bootstrap Control Chart for Birnbaum-Saunders Percentiles”, Quality and Reliability Engineering International, 24:585-600.
  54. Lio, Y. L.* (2008). “A Practical Implementation for Bandwidth Selection in kernel Distribution Function Estimators”, International Journal of Pure and Applied Mathematics; V42, No4, pp569-573.

Papers in Medical Sciences

- 1. Chauhan, Subhash C., Mara C. Ebeling, Diane M. Maher, Michael D. Koch, Akira Watanabe, Hiroyuki Aburatani, Yuhlong Lio, Meena Jaggi (2012). MUC13 mucin augments pancreatic tumorigenesis, Molecular Cancer Therapeutics, 11:24-33
  2. S. C. Chauhan*, K. Vannatta, M. C. Ebeling, N. Vinayek, A. Watanabe, K.K. Pandey, M. C. Bell, M. D. Koch, H. Aburatani, Y. L. Lio and M. Jaggi (2009). “Expression and functions of transmembrane mucin MUC13 in ovarian cancer”, Cancer Research; 69(3): 765-774.
  3. S. C. Chauhan*, N. Vinayek, D. M. Maher, M.C. Bell, K.A. Dunham, M.D. Koch, Y.L. Lio and M. Jaggi (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; V55(8); pp867-875.

Papers from Early Years

1. Smooth Nonparametric Quantile Estimation from Right-censored Data
2. A Smooth Nonparametric Quantile Estimator for IFR Distribution

A Generalized Quantile Estimator under Censoring
1. Smooth quantile estimator under censoring
2. Convergence results under right censoring
3. A modified kernel quantile estimator under censoring
4. Asymptotically optimal bandwidth for a smooth nonparametric quantile estimator under censoring
On the asymptotic properties of a kernel type quantile estimator from censored samples

Students’ Involvement in my Research

1. Jessie Byrnes (2016-2017). "Stress-Strength Inference for Burr Type XII Distribution Based on Progressive First Failure-Censored Samples". MS thesis.
2. Quy Cao (2013-2014). "A dynamic system based using Weibull distribution as baseline". MS thesis.
3. Trenton Brown (2013-2014). "Control Charts for generalized exponential distribution percentiles"; MS thesis.
4. Rezac, Joseph (2012-2013). "Developments of novel control charts for Burr XII percentiles"; honor thesis.
5. Lindsey, Sutherland (1998). “A Mixed Probability model for the tensile strength of high-performance materials”, supported by EPSCoR grant for undergraduate research at University of South Dakota.
6. Chasesin Chu (1997). Master Thesis titled “Simulation Study on the Bayesian Estimation of Survival Functions”.
7. Chun, Hui Chou (1996-1997). “Comparisons of Statistical Methods”, supported by Howard Hughes Medical Grant for Undergraduate Education.
8. Jiang, Danpei, and Wilken, D.B. (1996). “The Research on the Serious Crimes for 141 Large Metropolis in the USA”.
9. Liu, Yin, and Woosley, Travis (1996). “The Disease Status Research”.
10. Liu, Bing, and Cheng, Yue (1996). “The Study on the Efficacy of Nosocomial Infection Control”.
11. Zwagerman, Nathan (1996) (Department of Biology). “Biometric Project on Survival Analysis”, supported by Howard Hughes Medical Grant for Undergraduate Education.
12. Gerlach, Dan (1995-1996). “Time Series Analysis”.
13. Uria, N.A. (1991-1992). “The Statistical Model for GNP in Indonesia”.
14. Rosdail, Max (1991-1992). “Sioux City Water Project”. (Project supported by Sioux City Water Plant)
15. Voigt, Tim (1991-1992). “Cubic Spline: The Better Fit”.
16. Chen, Cyndi (1991-1992). “The Regression Model on Censored Data”.