Lidia Z. Filus
received her M.S (1971) and Ph.D. (1979) in Mathematics from the
University of Warsaw, Poland. She was awarded a research fellowship from
the Center for Operations Research and Econometrics at the University of
Louvain in Belgium, and then from the University of Twente in the
Netherlands. During her professional career she has worked at the Warsaw
School of Economics, the Polish Academy of Sciences, the University of
Kansas, and Northeastern Illinois University in Chicago. In addition she
has been a participant in the International Semester of Mathematical
Methods in Economics sponsored by UNESCO, a visiting scholar at the
Mathematics Research Center, University of Wisconsin-Madison, and a
visiting professor at Fern University in Hagen, Germany.
Her research interests have been
in several areas of operations research, in particular fixed points
algorithms and their applications, most recently in stochastic models in
operations research, in particular in modeling multi-component system
reliability.
Selected publications
“Some alternative approaches to system reliability
modeling” (with L. Filus) in
"Recent Advances in Reliability
and Quality Design" Springer Series in Reliability Engineering, to
appear, 2008
“On new multivariate
probability distributions and stochastic processes with systems
reliability and maintenance applications” (with J. Filus),
Methodology and Comp. in Applied Prob. Journal 9, 426-446, 2007
“Stochastic Models for
Mutual Physical Interaction in the System Reliability Framework” (with
J. Filus), Proceedings of the Thirteenth ISSAT International
Conference on Reliability and Quality in Design, ISBN
978-0-9763486-3-4, 31-40, 2007
“On Pseudonormal Extension
of the Class of Multivariate Normal Probability Distributions” (with J.
Filus), Communications in Dependability and Quality
Management
International Journal
10(1), 41-51, 2007
“A Stochastic Model of
Reliability of Systems with Continuously Dependent Components” (with J.
Filus),
Proceedings of XII International Symposium on Applied Stochastic Models
and Data Analysis (ASMDA2007),
Christos H. Skiadas ed., 6 pp, 2007
”On Methods for Constructing
New Multivariate Probability Distributions in System Reliability
Framework”, (with J. Filus), Proceedings of the Twelfth ISSAT
International Conference on Reliability and Quality in Design, ISBN
0-9763486-1-6, 245-252, 2006
“On Pseudonormal Extension
of the Class of Multivariate Normal Probability Distributions” (with J.
Filus), Proceedings of the International Conference
“BIOSTAT2006-Statistical Methods for Biomedical and Technical Systems,
Limassol, Cyprus, ISBN 9963-644-53-8, 79-86, 2006
“On Some New Classes of
Multivariate Probability Distributions” (with J. Filus), Pak.J.Stats.
22, 21-42, 2006
“On Two New Methods for
Constructing Multivariate Probability Distributions with System
Reliability Motivations” (with J. Filus), Proceedings of the XI
International Symposium on Applied Stochastic Models and Data Analysis
(ASMDA2005), Brest, France, 1232-1240, 2005
“On Some Bivariate Pseudonormal Densities” (with J.
Filus), Pak.J.Stats. 17, 1-20, 2001
“A Class of Generalized Multivariate Normal
Densities” (with J. Filus), Pak.J.Stats. 16, 11-32, 2000
“A Combinatorial Description of Some Methods of
Computation of Fixed Points”, The Journal of Combinatorial
Mathematics and Combinatorial Computing 21, 25-31, 1996
“Fixed point algorithms and some graph problems”, in
Numerical Solution of Highly Nonlinear Problems, W. Foster (ed.),
North Holland, 241-249, 1980
Book
“Linear Algebra with exercises”, (with W. Dubnicki
and H. Sosnowska), Polish Scientific Publishers (in Polish), 1986
