Faculty Profile

Kai-Sheng Song

Title
Professor
Department
Mathematics
College
College of Science

    

    

      


                          

            
Curriculum Vitae

            

              Click Here to View Faculty CV
            

          

        
                          

            
Education

            



  

  


  
PhD, University of California at Davis, 1993. 
Major: Statistics
MS, University of California at Davis, 1990. 
Major: Statistics
BS, Northeast Normal University, 1983. 
Major: Mathematics





          

        
                

          
Current Scheduled Teaching*


          
MATH 6950.724, Doctoral Dissertation, Spring 2024 
MATH 6950.728, Doctoral Dissertation, Spring 2024 
MATH 5820.001, Probability and Statistics, Spring 2024 
MATH 5900.722, Special Problems, Spring 2024 
MATH 5900.727, Special Problems, Spring 2024 
MATH 6900.711, Special Problems, Spring 2024 
MATH 4650.001, Statistics, Spring 2024 Syllabus


          
*
  Texas Education Code 51.974 (HB 2504) requires each institution of
  higher education to make available to the public, a syllabus for
  undergraduate lecture courses offered for credit by the institution.
  

        

      

    

  


    

    

      


        


          


            
Previous Scheduled Teaching*


            
                    

                    MATH 6950.702, Doctoral Dissertation, Fall 2023 
                    

                    MATH 5810.001, Probability and Statistics, Fall 2023  SPOT
                    

                    MATH 5900.714, Special Problems, Fall 2023 
                    

                    MATH 5900.725, Special Problems, Fall 2023 
                    

                    MATH 6900.003, Special Problems, Fall 2023 
                    

                    MATH 6950.708, Doctoral Dissertation, Spring 2023 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2023  SPOT
                    

                    MATH 6900.703, Special Problems, Spring 2023 
                    

                    MATH 6900.704, Special Problems, Spring 2023 
                    

                    MATH 6900.706, Special Problems, Spring 2023 
                    

                    MATH 4650.001, Statistics, Spring 2023 Syllabus SPOT
                    

                    MATH 6950.702, Doctoral Dissertation, Fall 2022 
                    

                    MATH 5810.001, Probability and Statistics, Fall 2022  SPOT
                    

                    MATH 5810.601, Probability and Statistics, Fall 2022  SPOT
                    

                    MATH 5900.710, Special Problems, Fall 2022 
                    

                    MATH 5900.702, Special Problems, Summer 10W 2022 
                    

                    MATH 6950.702, Doctoral Dissertation, Spring 2022 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2022  SPOT
                    

                    MATH 6900.703, Special Problems, Spring 2022 
                    

                    MATH 6900.704, Special Problems, Spring 2022 
                    

                    MATH 4650.001, Statistics, Spring 2022 Syllabus SPOT
                    

                    MATH 6950.703, Doctoral Dissertation, Fall 2021 
                    

                    MATH 4610.001, Probability, Fall 2021 Syllabus SPOT
                    

                    MATH 5810.001, Probability and Statistics, Fall 2021  SPOT
                    

                    MATH 6950.702, Doctoral Dissertation, Summer 10W 2021 
                    

                    MATH 6950.702, Doctoral Dissertation, Summer 5W2 2021 
                    

                    MATH 6950.703, Doctoral Dissertation, Summer 5W1 2021 
                    

                    MATH 6950.721, Doctoral Dissertation, Spring 2021 
                    

                    MATH 4650.001, Statistics, Spring 2021 Syllabus SPOT
                    

                    MATH 6820.001, Topics in Statistics, Spring 2021  SPOT
                    

                    MATH 6950.722, Doctoral Dissertation, Fall 2020 
                    

                    MATH 6950.721, Doctoral Dissertation, Spring 2020 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2020 
                    

                    MATH 4650.001, Statistics, Spring 2020 Syllabus
                    

                    MATH 3680.002, Applied Statistics, Fall 2019 Syllabus SPOT
                    

                    MATH 6950.703, Doctoral Dissertation, Fall 2019 
                    

                    MATH 6950.722, Doctoral Dissertation, Fall 2019 
                    

                    MATH 5810.001, Probability and Statistics, Fall 2019  SPOT
                    

                    MATH 6900.716, Special Problems, Fall 2019 
                    

                    MATH 6900.722, Special Problems, Fall 2019 
                    

                    MATH 6950.702, Doctoral Dissertation, Summer 5W1 2019 
                    

                    MATH 6950.704, Doctoral Dissertation, Summer 5W2 2019 
                    

                    MATH 3680.002, Applied Statistics, Spring 2019 Syllabus SPOT
                    

                    MATH 6950.724, Doctoral Dissertation, Spring 2019 
                    

                    MATH 5900.702, Special Problems, Spring 2019 
                    

                    MATH 6900.703, Special Problems, Spring 2019 
                    

                    MATH 4650.001, Statistics, Spring 2019 Syllabus SPOT
                    

                    MATH 3680.002, Applied Statistics, Fall 2018 Syllabus SPOT
                    

                    MATH 6950.703, Doctoral Dissertation, Fall 2018 
                    

                    MATH 6950.722, Doctoral Dissertation, Fall 2018 
                    

                    MATH 4610.001, Probability, Fall 2018 Syllabus SPOT
                    

                    MATH 5900.722, Special Problems, Fall 2018 
                    

                    MATH 6900.722, Special Problems, Fall 2018 
                    

                    MATH 3680.002, Applied Statistics, Spring 2018 Syllabus SPOT
                    

                    MATH 6950.724, Doctoral Dissertation, Spring 2018 
                    

                    MATH 5900.710, Special Problems, Spring 2018 
                    

                    MATH 6900.702, Special Problems, Spring 2018 
                    

                    MATH 4650.001, Statistics, Spring 2018 Syllabus SPOT
                    

                    MATH 3680.001, Applied Statistics, Fall 2017 Syllabus SPOT
                    

                    MATH 6950.703, Doctoral Dissertation, Fall 2017 
                    

                    MATH 6950.722, Doctoral Dissertation, Fall 2017 
                    

                    MATH 6810.001, Probability., Fall 2017  SPOT
                    

                    MATH 5900.722, Special Problems, Fall 2017 
                    

                    MATH 6900.722, Special Problems, Fall 2017 
                    

                    MATH 6950.702, Doctoral Dissertation, Summer 5W1 2017 
                    

                    MATH 6950.724, Doctoral Dissertation, Spring 2017 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2017  SPOT
                    

                    MATH 6900.706, Special Problems, Spring 2017 
                    

                    MATH 6900.724, Special Problems, Spring 2017 
                    

                    MATH 6900.727, Special Problems, Spring 2017 
                    

                    MATH 6900.728, Special Problems, Spring 2017 
                    

                    MATH 4650.001, Statistics, Spring 2017 Syllabus SPOT
                    

                    MATH 6950.722, Doctoral Dissertation, Fall 2016 
                    

                    MATH 4610.001, Probability, Fall 2016 Syllabus SPOT
                    

                    MATH 5810.001, Probability and Statistics, Fall 2016  SPOT
                    

                    MATH 5900.722, Special Problems, Fall 2016 
                    

                    MATH 6900.722, Special Problems, Fall 2016 
                    

                    MATH 6900.702, Special Problems, Summer 5W1 2016 
                    

                    MATH 6950.724, Doctoral Dissertation, Spring 2016 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2016  SPOT
                    

                    MATH 6900.724, Special Problems, Spring 2016 
                    

                    MATH 4650.001, Statistics, Spring 2016 Syllabus SPOT
                    

                    MATH 6950.723, Doctoral Dissertation, Fall 2015 
                    

                    MATH 4610.001, Probability, Fall 2015 Syllabus SPOT
                    

                    MATH 6810.001, Probability., Fall 2015  SPOT
                    

                    MATH 5900.722, Special Problems, Fall 2015 
                    

                    MATH 6900.722, Special Problems, Fall 2015 
                    

                    MATH 6910.702, Special Problems, Fall 2015 
                    

                    MATH 5900.001, Special Problems, Summer 2015 
                    

                    MATH 6950.724, Doctoral Dissertation, Spring 2015 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2015 
                    

                    MATH 5900.724, Special Problems, Spring 2015 
                    

                    MATH 6900.724, Special Problems, Spring 2015 
                    

                    MATH 6910.724, Special Problems, Spring 2015 
                    

                    MATH 4650.001, Statistics, Spring 2015 Syllabus
                    

                    MATH 6950.723, Doctoral Dissertation, Fall 2014 
                    

                    MATH 4610.002, Probability, Fall 2014 Syllabus
                    

                    MATH 5810.001, Probability and Statistics, Fall 2014 
                    

                    MATH 5900.710, Special Problems, Fall 2014 
                    

                    MATH 5910.703, Special Problems, Fall 2014 
                    

                    MATH 6900.771, Special Problems, Fall 2014 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2014 
                    

                    MATH 5900.724, Special Problems, Spring 2014 
                    

                    MATH 4650.001, Statistics, Spring 2014 Syllabus
                    

                    MATH 6950.723, Doctoral Dissertation, Fall 2013 
                    

                    MATH 5900.710, Special Problems, Fall 2013 
                    

                    MATH 5910.703, Special Problems, Fall 2013 
                    

                    MATH 6950.702, Doctoral Dissertation, Summer 5W2 2013 
                    

                    MATH 6950.711, Doctoral Dissertation, Spring 2013 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2013 
                    

                    MATH 4650.001, Statistics, Spring 2013 Syllabus
                    

                    MATH 6950.723, Doctoral Dissertation, Fall 2012 
                    

                    MATH 4610.001, Probability, Fall 2012 Syllabus
                    

                    MATH 5810.001, Probability and Statistics, Fall 2012 
                    

                    MATH 6950.711, Doctoral Dissertation, Spring 2012 
                    

                    MATH 5950.704, Master's Thesis, Spring 2012 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2012 
                    

                    MATH 5900.716, Special Problems, Spring 2012 
                    

                    MATH 5910.702, Special Problems, Spring 2012 
                    

                    MATH 4650.001, Statistics, Spring 2012 Syllabus
                    

                    MATH 3680.002, Applied Statistics, Fall 2011 Syllabus
                    

                    MATH 6950.723, Doctoral Dissertation, Fall 2011 
                    

                    MATH 5810.001, Probability and Statistics, Fall 2011 
                    

                    MATH 5900.710, Special Problems, Fall 2011 
                    

                    MATH 5910.703, Special Problems, Fall 2011 
                    

                    MATH 6950.711, Doctoral Dissertation, Spring 2011 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2011 
                    

                    MATH 5900.716, Special Problems, Spring 2011 
                    

                    MATH 6900.704, Special Problems, Spring 2011 
                    

                    MATH 6910.702, Special Problems, Spring 2011 
                    

                    MATH 4650.001, Statistics, Spring 2011 Syllabus
                    

                    MATH 3680.003, Applied Statistics, Fall 2010 Syllabus
                    

                    MATH 6950.723, Doctoral Dissertation, Fall 2010 
                    

                    MATH 5810.001, Probability and Statistics, Fall 2010 
                    

                    MATH 6900.771, Special Problems, Fall 2010 
                    

                    MATH 3680.002, Applied Statistics, Spring 2010 
                    

                    MATH 6950.718, Doctoral Dissertation, Spring 2010 
                    

                    MATH 5950.722, Master's Thesis, Spring 2010 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2010 
                    

                    MATH 6900.773, Special Problems, Spring 2010 
                    

                    MATH 4650.001, Statistics, Spring 2010 
                    

                    MATH 3680.002, Applied Statistics, Fall 2009 
                    

                    MATH 4610.001, Probability, Fall 2009 
                    

                    MATH 5810.001, Probability and Statistics, Fall 2009 
                    

                    MATH 5900.710, Special Problems, Fall 2009 
                    

                    MATH 6900.771, Special Problems, Fall 2009 
                    

                    MATH 6900.771, Special Problems, Summer 5W2 2009 
                    

                    MATH 5820.001, Probability and Statistics, Spring 2009 
                    

                    MATH 6900.773, Special Problems, Spring 2009 
                    

                    MATH 4650.001, Statistics, Spring 2009 
                    

                    MATH 3680.002, Applied Statistics, Fall 2008 
                    

                    MATH 6900.774, Special Problems, Fall 2008 
                    

                    MATH 1780.002, Probability Models, Spring 2008 
                    

                    MATH 5900.772, Special Problems, Spring 2008 
                    

                    MATH 2730.002, Multivariable Calculus, Fall 2007 
                    

                    MATH 1780.001, Probability Models, Fall 2007 
                    

                    MATH 5900.771, Special Problems, Fall 2007 

          


          
*
  Texas Education Code 51.974 (HB 2504) requires each institution of
  higher education to make available to the public, a syllabus for
  undergraduate lecture courses offered for credit by the institution.
  

        

      

    

  

  
  	

	

	  

		

		   
Published Publications



  

  
Published Intellectual Contributions


  
Conference Proceeding
Song, K.  (1998). K.-S. Song: 
 
 On Compound Exponential Distribution. 
 
 Proceedings of the 13th international Workshop on Statistical Modeling, 490-493, 1998.. 
Song, K.  (1998). K.-S. Song: 
 
 Recent Developments in Population Pharmacokinetic Modeling. 
 
 Invited Papers of the XIXth International Biometric Conference, 197-204, 1998.. 
Journal Article
Song, K.  (2022). Yujie Yan and Kai-Sheng Song, "A general optimal approach to Bühlmann credibility theory". Insurance: Mathematics & Economics. 104(May), 262-282. 
Song, K.  (2021). Simultaneous Statistical Modelling of Excess Zeros, Over/underdispersion, and Multimodality with Applications in Hotel Industry. Journal of Applied Statistics. 48(9), 1603-1627. 
Song, K.  (2017). D. Taylor, K.S. Kelly, M.L. Kohut, and K.S. Song, "Is Insomnia a Risk Factor for Decreased In uenza Vaccine Response?", Behavioral Sleep Medicine,  270-287, 2017. Behavioral Sleep Medicine. 15(4), 270-287. 
Taylor, D. J., Kelly, K. S., Kohut, M., Song, K.  (2017). Is Insomnia as a Risk Factor for Decreased Influenza Vaccine Response?. Behavioral Sleep Medicine. 15(4), 270-287. 
Song, K.  (2017). K.-S. Song and R. Kieschnick, "Statistical Analysis of Financial Data with Many Zeros", Invited Focus Article, WIREs Computational Statistics , 9, 1-12, 2017.. 
Song, K.  (2014). D. Taylor, K.S. Kelly, M.L. Kohut, and K.S. Song, "Insomnia as a Risk Factor for Decreased Antibody Response to the In uenza Vaccine", PSYCHOSOMATIC MEDICINE, 76, A55- A56, 2014.. 
Song, K.  (2013). Kai-Sheng Song:
 
 Asymptotic Relative Efficiency and Exact Variance Stabilizing Transformation for the Generalized Gaussian stribution
 
 IEEE Transactions on Information Theory, 59, 4389-4396, 2013.. 
Song, K.  (2011). K.S. Song and T.H. Li:   Asymptotics of Least Squares for Nonlinear Harmonic Regression.   Statistics: A Journal of Theoretical and Applied Statistics, 1029-4910, 2010.. 
Song, K.  (2011). K.S. Song: 
 
 Max-Min Bernstein Polynomial Estimation of a Discontinuity in Distribution .
 
 Nonparametric Statistical Methods and Related Topics: Festschrift in Honor of Professor P.K. Bhattacharya on the Occasion of his 80th Birthday, Jiang, J., Roussas, G.G. and Samaniego, F.J., Eds., World Scientific.. 
Song, K.  (2009). T.-H. Li and K.-S. Song: 
 
 Estimation of the Parameters of Sinusoidal Signals in Non-Gaussian Noise. 
 
 IEEE Transactions on Signal Processing, 57, 62-72, 2009.. 
Song, K.  (2008). K.-S. Song: 
 Globally Convergent Algorithms for Estimating Generalized Gamma Distributions in Fast Signal and Image Processing. 
 IEEE Transactions on Image Processing, 17, 1233-1250,2008. 
Song, K.  (2008). T.-H. Li and K.-S. Song: 
 On Asymptotic Normality of Nonlinear Least Squares for Sinusoidal Parameter Estimation. 
 IEEE Transactions on Signal Processing, 56, 4511-4515, 2008.. 
Song, K.  (2007). K.-S. Song: 
 Fast and Globally Convergent Statistical Algorithms for Biomedical Imaging. 
 
 Book of Short Papers of the Fifth S. Co. Conference on Complex Models and Computational Intensive Methods for Estimation and Prediction, 469-474, 2007.. 
Song, K.  (2007). T.-H. Li and K.-S. Song:
 
 Estimation of the Frequency of Sinusoidal Signals in Laplace Noise. 
 
 Proceedings of The IEEE International Symposium on Information Theory (ISIT), 1786-1790, 2007.. 
Song, K.  (2006). K.-S. Song and T.-H. Li: 
 On Convergence and Bias Correction of a Joint Estimation Algorithm for Multiple Sinusoidal Frequencies. 
 The Journal of the American Statistical Association, Vol. 101, No. 474, 830-842 (2006).. 
Song, K.  (2006). K.-S. Song: 
 A Globally Convergent and Consistent Method for Estimating the Shape Parameter of a Generalized Gaussian Distribution. 
 IEEE Transactions on Information Theory, 52, 510-527 (2006). 
Song, K.  (2006). T.-H. Li and K.-S. Song: 
 
 A Joint Estimation Algorithm for Multiple Sinusoidal Frequencies. 
 
 Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)}, 3, III-508-III-511, 2006.. 
Song, K.  (2005). K.-S. Song: 
 
 Blind Efficient Scores Detection and Decoding of Multi-bit Watermarks. 
 
 Proceedings of the SPIE Conference on ``Mathematics of Data/Image Coding, Compression, and Encryption VIII, with Applications, 5915, 591507, 1-10, 2005.. 
Song, K.  (2003). M. Hollander, G. Laird and K.-S. Song: 
 
 Nonparametric Inference for the Proportionality Function in the Random Censorship Model. 
 
 Journal of Nonparametric Statistics, 15, 151-169, 2003.. 
Song, K.  (2002). H. Xiao, C. Campbell and K.-S. Song: 
 
 A Trend Analysis of Organ Transplantation among Racial or Ethnic Groups. 
 
 Journal of National Medical Association, 94, 15-20, 2002.. 
Song, K.  (2002). J. Salzman, J.B. Ruhl and K.-S. Song: 
 
 Regulatory Traffic Jams. 
 
 Wyoming Law Review, 2, 253-289, 2002. 
Song, K.  (2002). J.B. Ruhl, J. Salzman, K.-S Song and H. Yu: 
 
 
 Environmental Compliance: Another Integrity Crisis or Too Many Rules? 
 
 Natural Resources & Environment , 17, 24-29, 2002.. 
Song, K.  (2002). K.-S. Song: 
 
 Goodness-of-Fit Tests Based on Kullback-Leibler Discrimination Information. 
 
 IEEE Transactions on Information Theory, 48, 1103-1117, 2002.. 
Song, K.  (2002). T.-H. Li and K.-S. Song: 
 
 Asymptotic Analysis of a Fast Algorithm for Efficient Multiple Frequency Estimation. 
 
 IEEE Transactions on Information Theory , 48, 2709-2720 , 2002.. 
Song, K.  (2001). K.-S. Song: 
 
 Renyi Information, Loglikelihood and an Intrinsic Distribution Measure. 
 
 Journal of Statistical Planning and Inference, 93, 51-69, 2001.. 
Song, K.  (2001). M. Hollander, G. Laird and K.-S. Song: 
 
 Maximum Likelihood Estimation in the Proportional Hazards Model of Random Censorship. 
 
 Statistics, 35, 245-258, 2001.. 
Song, K.  (2000). K.-S. Song and T.-H. Li: 
 
 A Statistically and Computationally Efficient Method for Frequency Estimation. 
 
 Stochastic Processes and Their Applications, 86, 29-47, 2000.. 
Song, K.  (2000). K.-S. Song: 
 
 Limit Theorems for Nonparametric Sample Entropy Estimators. 
 
 Statistics and Probability Letters, 49, 9-18, 2000.. 
Song, K.  (1997). H.G. Muller and K.-S. Song: 
 
 Two-Stage Change-Point Estimators in Smooth Regression Models. 
 
 Statistics and Probability Letters, 34, 323-335, 1997.. 
Song, K.  (1996). H.G. Muller and K.-S. Song: 
 
 
 A Set-Indexed Process in a Two-Region Image. 
 
 Stochastic Processes and Their Applications, 62, 87-101, 1996.. 
Song, K.  (1995). H. Rubin and K.-S. Song: 
 
 Exact Computation of the Asymptotic Efficiency of Maximum Likelihood Estimators of Discontinuous Signal in a Gaussian White Noise. 
 
 The Annals of Statistics, 23, 732-739, 1995.. 
Song, K.  (1995). K.-S. Song, H.G. Muller, A.J. Clifford, H.C. Furr, and J.A. Olson: 
 
 Estimating Derivatives of Pharmacokinetic Response Curves with Varying Bandwidths. 
 
 Biometrics, 51, 12-20, 1995.. 
Song, K.  (1994). H.G. Muller and K.-S. Song: 
 
 Cube Splitting in Multidimensional Edge Estimation. 
 
 Change-point Problems, IMS Lecture Notes-Monograph Series, 23, 210-223, 1994.. 
Song, K.  (1994). H.G. Muller and K.-S. Song: 
 
 Maximin Estimation of Multidimensional Boundaries. 
 
 Journal of Multivariate Analysis, 50, 265-281, 1994.. 
Song, K.  (1993). H.G. Muller and K.-S. Song: 
 
 Identity Reproducing Multivariate Nonparametric Regression. 
 
 Journal of Multivariate Analysis, 46, 237-253, 1993.. 
Song, K.  (1985). R. Z. Chen, H. Gao, and K.-S. Song: 
 
 Existence and Uniqueness of Regular Solutions of a Nonstationary Population Evolution Equation with a Migration Term. 
 
 Journal of Northeast Normal University, 3, 1-6, 1985.. 



	
		
		
	  

	

	

  
    
	

	

	  

		

		   
Awarded Grants



  
  
  	  
          
Contracts, Grants and Sponsored Research  

 	 
	 	 
  
Grant - Research   
Song, K. (Supporting), "Is Insomnia a Risk Factor for Decreased In uenza (e.g. H1N1) Vaccine Response?," Sponsored by NIAID, NIH, Federal, $442838 Funded. (2011 – 2014).



	
		
		
	  

	

	

	
	

  
  
  

  	

		

		,  
			
				

					
					Overall
Summative Rating		
					Challenge and
Engagement Index		
					Response Rate
					
				

			
			
				

					
					
out of 5		
					
out of 7		
					%
 of 
students responded		
					
					
				

			
		


		
    
			
  • Overall Summative Rating (median):
    
			This rating represents the combined responses of students to the four global summative items and is presented to provide an overall index of the class’s quality. Overall summative statements include the following (response options include a Likert scale ranging from 5 = Excellent, 3 = Good, and 1= Very poor):
				
      
					
    • The course as a whole was
      • 
					
    • The course content was
      • 
					
    • The instructor’s contribution to the course was
      • 
					
    • The instructor’s effectiveness in teaching the subject matter was
      • 
				
    
			
    • 
			
  • Challenge and Engagement Index:
    
			This rating combines student responses to several SPOT items relating to how academically challenging students found the course to be and how engaged they were. Challenge and Engagement Index items include the following (response options include a Likert scale ranging from 7 = Much higher, 4 = Average, and 1 = Much lower):
				
      
					
    • Do you expect your grade in this course to be
      • 
					
    • The intellectual challenge presented was
      • 
					
    • The amount of effort you put into this course was
      • 
					
    • The amount of effort to succeed in this course was
      • 
					
    • Your involvement in course (doing assignments, attending classes, etc.) was
      • 
				
    
			
    • 
		

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