# Paul Chiou

Office : Lucas 203

Phone Number : 880-8800

Email : paul.chiou@lamar.edu

**Education**

Ph. D. Mathematics The University of Texas at Arlington, 1983

M.A. Mathematics The University of Texas at Arlington, 1980

B.S. Applied Mathematics National Chung-Hsing University, 1974

**Professional Employment**

1997-Present Lamar University, Professor of Mathematics

1991-1997 Lamar University, Associate Professor of Mathematics

1988-1991 Lamar University, Assistant Professor of Mathematics

1983-1988 East Texas State University, Visiting Assistant Professor

1982-1983 University of Texas at Arlington, Assistant Instructor

**Professional Organizations**

Member of Pi Mu Epsilon, American Statistical Association, Institute of Mathematical Statistics

Editor-in-Chief, Journal of Probability and Statistical Science (http://www.i-tel.com.tw/jpss/)

Editorial Board Member, Applications and Applied Mathematics: An International Journal

Associate Editor, Journal of Statistical Research

**Courses Taught at Lamar**

*Undergraduate:* Survey of Mathematics I, College Algebra, Precalculus Mathematics, Survey of Mathematics II, Trigonometry, Mathematics for Business Applications, Discrete Mathematics, Calculus and Analytic Geometry I, Calculus and Analytic Geometry II, Elementary Statistics, Calculus I, Introduction to the Theory of Statistical Inference, Regression Analysis, Theory of Statistical Inference

*Graduate:* Design of Experiments, Fourier Series, Regression Analysis, Reliability, Statistical Inference

**Areas of Research Interest**

Bayesian Statistics, Conditional Estimation, Empirical Bayes, Reliability, Shrinkage Estimation, Receptor Modeling in Air Pollution

**Selected Publications**

- Dyer, D. and P. Chiou (1984), “An Information-Theoretic Approach to Incorporating Prior Information in Binomial Sampling,”
*Communications in Statistics*, Vol. 13, 2051-2083. - Chiou, P. (1987), “A Preliminary Test Estimator of Reliability in a Life-Testing Model,”
*IEEE Transactions on Reliability,*Vol. 36, 408-410. - Chiou, P. (1989), “On the Choice of a Dirichlet Prior Distribution for Multinomial Distribution,”
*Bulletin of the Greek Mathematical Society*, Vol. 30, 93-103. - Chiou, P. (1993), “Empirical Bayes Shrinkage Estimation of Reliability in the Exponential Distribution,”
*Communications in Statistics: Theory and Methods*, Vol. 22, 1483-1494. - Chiou, P. and C.-P. Han (1995), “Conditional Interval Estimation of the Exponential Location Parameter Following Rejection of a Pre-Test,”
*Communications in Statistics: Theory and Methods*, Vol. 24, 1481-1492. - Chiou, P. and C.-P. Han (1996), “Estimation of Error Variance in One-Way Random Model,”
*Metrika*, Vol. 44(1), 41-51. - Chiou, P. and C.-P. Han (1999), "Conditional Interval Estimation of the Ratio of Variance Components Following Rejection of a Pre-Test,"
*Journal of Statistical Computation and Simulation*, Vol. 63, 105-119. - Chiou, P. (2003), “Confidence Bounds of Scale Parameters Using Pilot Samples,”
*Journal of Statistical Research*, Vol. 37, No. 1, 21-29. - Chiou, P. and W. Miao (2005), “Shrinkage Estimation for the Difference between Exponential Guarantee Time Parameters,”
*Computational Statistics & Data Analysis*, Vol. 48, 489-507. - Chiou, P. and W. Miao (2007), “Shrinkage Estimation for the Difference between a Control and Treatment Mean,”
*Journal of Statistical Computation and Simulation*, Vol. 77(8), 651-662. - Chiou, P. et al. (2008), “Atmospheric Aerosols over Two Sites in a Southeastern Region of Texas,”
*Canadian Journal of Chemical Engineering*, Vol. 86, 421-435. - Chiou, P. et al. (2009), “Atmospheric Aerosol over a Southwestern Region of Texas,”
*Environmental Modeling and Assessment*, Vol. 14(5), 645-659. - Chiou, P. et al. (2010), “Source Identification of Houston Aerosol with Carbon Fractions in Positive Matrix Factorization,”
*International Journal of Environment and Development**,*7(1), 135-152. - Chiou, P. et al. (2011), “Source Identification and Apportionment of Atmospheric Aerosol over Port Arthur of Texas,”
*International Journal of Environmental Science and Development**,*2(5), 362-371. - Chiou, P. and W. Miao (2012), “On the Choice of a Beta Prior Distribution for Binomial Sampling,”
*Journal of Probability and Statistical Science,*10(2), 219-228. - Chiou, P. and W. Miao (2013), “The Distribution of Annual Maximum Earthquake Magnitude in Southern California,”
*Journal of Probability and Statistical Science,*11(2), 199-210. - Chiou, P. and W. Miao (2015), “The Most Conservative Dirichlet Prior Distribution for Trinomial Sampling,”
*Journal of Probability and Statistical Science,*13(1), 69-83. - Kenyon, G. et al. (2016), “Development of the Yield-Based Process Capability Index, C
, to Flexibly and Accurately Measure Conformance,”_{py}*International Journal of Quality and Reliability Management,*33(7), 882-899.