Curriculum Vitae
James D. Lynch
December 2007
PROFESSIONAL EXPERIENCE
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Teaching assistant, Mathematics, Spring 1970, Marquette University
Biometry trainee, 1970-1972 and 1973-1974, Florida State University
Teaching assistant, Statistics, Fall 1972 and Summer 1973, Florida State University
Research assistant, 1972-1973, Florida State University
Assistant Professor, 1974-1976, University of Nebraska
Assistant Professor, 1976-1984, Pennsylvania State University
Visiting Associate Professor, 1981-1982, University of South Carolina
Visiting Associate Professor, 1982-1983, Florida State University
Associate Professor, 1984-1985, Pennsylvania State University
Associate Professor, 1985-89, University of South Carolina
Professor, 1989-present, University of South Carolina
Director, Center for Reliability and Quality Sciences, 1990-2005
Chair, 2001-2005
Sabbatical, University of Tennessee, Knoxville, TN, Spring 1992
Sabbatical, NISS, RTP, NC, Fall 1998
Sabbatical, SAMSI/NISS, RTP, NC, Spring 2006
DOCTORAL DEGREE
Dissertation Topic: "Contributions to rates of convergence with applications to efficiencies
of tests and estimates"
Major Professor: J. Sethuraman Date of Completion: December 1974
AREAS OF RESEARCH
Probability, Applied Probability, Stochastic Processes,
Reliability, Industrial Problems.
Currently have interests in complex systems, reliability and industrial problems.
PERSONAL STATEMENT
I suckered someone into paying me for doing my hobby.
SOME RECENT RESEARCH PAPERS
F. Vera and J. Lynch (2007) "General Convex Stochastic Orderings and Related
Martingale-Type Structures"
Advances in Applied Probability (2007), 39, 105-127.
(Extends Blackwell's dilation/one step-martingale ideas
regarding comparison of experiments
having the same first moment to experiments where the first 2k-1 moments are equal.)
J. Gleaton and J. Lynch. (2006) "Properties of Generalized Log-Logistic Families
of Lifetime Distribution"
Journal of Probability and Statistical Science, 4, 51-64.
(This is related to Gleaton and Lynch, 2002, below.)
J. Grego and J. Lynch (2006) "Some Mixed Gamma Representations" Journal of Applied
Probability
and Statistics,1, 31-37. (Here totally parametric mixture representations
are given for exponential order statistics
and for the sample variance from normals.)
F. Vera and J. Lynch (2005) "K-mart stochastic Modeling using Iterated Total Time
on Test Transforms" Modern
Statistical and Mathematical Methods in Reliability,
Wilson et al Editors, Series on Quality, Reliability and Engineering Statistics,
Volume 10 World Scientific, NY 395-409. (Related to the first paper above.)
J. U. Gleaton and J. D. Lynch (2002), "On the distribution of the Breaking
Strain of a Bundle of Brittle Elastic Fibers"
Advances of Applied Probability, 36, 98-115.
(Uses thermodynamic - max entropy/information theoretic concepts in a fracture
setting.)
S.D. Durham, and J.D. Lynch (2000), "A Threshold Representation for the
Strength Distribution of a Complex Load Sharing System" Journal of
Statistical Planning and Inference, 83, 25-46. (Shows that a complex
systems of Weibulls
has a mixed distribution representation for the system strength.)
J. D. Lynch (2000), "The Galton-Watson Process Revisited: Some Martingale
Relationships and Applications"
Journal of Applied Probability , 37, 1-7.
(Shows that the irregularity of the GW Process is equivalent to the
closability of a related martingale sequence.)
J. D Lynch and J. Sethuramen (1999), "On the ergodicity of General State
Markov Chains" Unpublished. (Relates L1-convergence of a reverse martingale
to the variational norm convergence of the chain distribution to its
equilibrium distribution. A draft of this paper is on my webpage.)
Ongoing Research
Structural reliability models.
Balayages and Martingale-type Structures.
Gibbs measure/Markov random field representations and threshold/mixed distributions to model
the failure of complex systems under loads.
Updated on December 7, 2007