Zaven Karian
Research
Academic Positions
Department of Mathematics and Computer Science at Denison University, 1964 -
Acting Director of the Computer Center at Denison University, 1975-1976
Visiting Lecturer, Computer and Information Science Department at The Ohio State University, 1979
Visiting Professor, Department of Statistics at The Ohio State University, 1980
Chair, Department of Mathematics and Computer Science at Denison University, 1985-1990
Benjamin Barney Professor of Mathematics, Department of Mathematics and Computer Science at Denison University, 1990-2002
Emeritus Professor, Department of Mathematics and Computer Science at Denison University, 2003- present
Publications
Exact Heteroscedastic Discriminant Analysis,
with Tables: Case k = 2 Univariate Populations (with E. J. Dudewicz)
in J. of Combinatorics, Information & Systems, 31(1–4), 255–265. (2006).
The Completeness and Uniqueness of Johnson’s System in Skewness-Kurtosis Space (with E. J. Dudewicz and C. X. Zhang)
in Communications in Statistics: Theory and Methods, 33(9), 2097–2116. (2004).
Comparison of GLD Fitting Methods: Superiority of Percentile Fits to Moments in L2 Norm (with E. J. Dudewicz)
in Journal of the Iranian Statistical Society, 2(2), 171–187. (2003).
A New Approach to Probability and Statistics Instruction
in Proceedings of the European Society for Research in Mathematics Education. (2003).
Chapter on “Simulation Languages” in Encyclopedia of Information Systems (with E. J. Dudewicz)
(Hossein Bidgoli, Ed.), Academic Press, San Diego, CA. (2002).
Fitting Statistical Distributions: The Generalized Lambda Distribution and Generalized Bootstrap Methods (with E. J. Dudewicz)
CRC Press, Boca Raton, FL. (2000).
Modern Statistical, Systems, GPSS Simulation, Second Edition (with E. J. Dudewicz)
CRC Press, Boca Raton, FL. (Initial edition (1991): Computer Science (1999).
Arabic Edition to be published in 1999 by King Saud University Press, Riyadh, Saudi Arabia.)
Fitting the Generalized Lambda Distribution to Data: A Method Based on Percentiles (with E. J. Dudewicz)
in Communications in Statistics: Simulation and Computation, 28(3), 793–819. (1999).
The Role of Statistics in IS/IT: Practical Gains from Mined Data (with E. J. Dudewicz)
in Information Systems Frontiers, 1(3), 259–266. (1999).
Fitting the Generalized Lambda Distribution (GLD) System by a Method of Percentiles, II: Tables (with E. J. Dudewicz)
in American Journal of Mathematical and Management Sciences, 19(1 & 2), 1–73. (1999).
Probability and Statistics Explorations with Maple, Second Edition (with E. A. Tanis)
Prentice Hall Inc., Englewood Cliffs, NJ. (Initial edition (1995): Prentice
Hall Inc.) (1999).
Computational Issues in Fitting Statistical Distributions to Data (with E. J. Dudewicz)
in American Journal of Mathematical and Management Sciences.
DNASEQ: A Simulation of the Sanger Method of DNA Sequencing (with C. Holthaus and K. Klatt)
in MapleTech, 5(1), 58–61. (1998).
Use of Symbolic Computation in Statistics
in Proceedings of the 51st Biennial Session of the International Statistical Institute, 1997.
Technology in Teaching Statistics: Symbolic Computation
in Proceedings of the 51st Biennial Session of the International Statistical Institute, 1997.
The Extended Generalized Lambda Distribution System for Fitting Distributions to Data: History, Completion of Theory, Tables, Applications, the ‘Final Word’ on Moment Fits (with E. J. Dudewicz and P. McDonald)
in Communications in Statistics: Simulation and Computation, 25(3), 611–642. (1996).
The Extended Generalized Lambda Distribution System for Fitting Distributions to Data with Moments II: Tables (with E. J. Dudewicz)
in American Journal of Mathematical and Management Sciences, Special Volume on Advances in Modern Simulation, 16(3 & 4), 271–332. (1996).
Teaching Mathematics Through Symbolic Computation
in Proceedings of the Asian Conference on Technology in Mathematics (paper was presented as an invited Plenary Lecture at the Conference). (1995).
Proceedings of the Denison Conference on the Use of Symbolic Computation in Undergraduate Mathematics
Mathematical Association of America, Washington, D.C. (1992).
Symbolic Computation in Undergraduate Mathematics Education
MAA Notes No. 24, Mathematical Association of America, Washington, D.C. (1992).
For All Practical Purposes: An Introduction to Contemporary Mathematics, Second Edition (S. Garfunkel -- Project Director)
W. H. Freeman and Company (author of chapters on Computer Algorithms, Codes, Computer Data Storage, and Computer Graphics), New York. (1991).
Modern Design and Analysis of Discrete-Event Computer Simulations (with E. J. Dudewicz)
IEEE Computer Society Press, Washington D. C. B. Papers: (1985).