Friday, December 3, 2004
| Title |
Generalized Exponential Distribution: Sequential Estimation
Based on Record-Breaking Data |
| Speaker |
Alfred Mbah (joint work with G. Yanev) |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 109 |
Abstract
Observing record-breaking values has a place in environmental studies,
destructive stress testing, and industrial quality control experiments, among
others. For an excellent recent monograph on statistical inference for
record-breaking data we refer to Gulati and Padgett (2003). We present a
sequential procedure for estimating the shape parameter of the generalized
exponential distribution using records. The estimators are shown to be
asymptotically risk efficient.
Friday, November 19, 2004
| Title |
Introduction to Applied Longitudinal Data Analysis |
| Speaker |
Dr. Ji-Hyun Lee
H. Lee Moffitt Cancer Center & Research Institute/
College of Medicine, USF |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 109 |
Abstract
Longitudinal studies are frequently conducted in epidemiology, social science,
and biomedical research areas and the data sets are comprised of repeated
observations of an outcome and a set of covariates. One objective of statistical
analysis is to describe how the response variable of interest is affected by other
covariates over time. A challenge in the analysis of longitudinal data is
that the data are correlated, as multiple observations are measured from each
individual, and this correlation has to be taken into account in the analysis to
yield valid inference. In recent years, there have been remarkable developments in
methods for analyzing data from longitudinal studies. This seminar will be devoted
to introducing the major types of models used in the analysis of correlated
responses and historical review. The topics will be approached from the
practitioner's points-of-view: the main emphasis will be on the practical rather
than the theoretical aspects. Come and join in this educational event with
opportunities for lively discussions with a Biostatistician at the Moffitt Cancer
Center!
Friday, October 29, 2004
| Title |
An Analysis of the Effects of Grading with the Plus/Minus system verses the Standard Four Point system |
| Speaker |
Rebecca Wooten |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 109 |
Friday, October 15, 2004
| Title |
Software Reliability Modeling Using Regression Method |
| Speaker |
A. M. Mostafa
(joint work with A. N. V. Rao and K. Ramachandran) |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 109 |
Abstract
We will start with some motivation remarks for the use of mathematical models
in the analysis and prediction of software reliability evolution during testing
phase. We will review some basic reliability concepts and the most important
models used in software reliability. Finally, we will be discussing the regression
method and make a comparison with the results given in Suresh and Henry's
dissertations.
Friday, September 17, 2004
| Title |
Reliability Model Using Truncated Skew-Laplace Distribution |
| Speaker |
Gokarna Aryal (joint work with A. N. V. Rao) |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 109 |
Abstract
A random variable X is said to have the skew-Laplace distribution
if its pdf is f(x) = 2g(x)G(λx),
where g(.) and G(.), respectively, denote the pdf and
cdf of the Laplace distribution. In this paper we provide a comprehensive analysis
of the mathematical properties of a truncated skew-Laplace distribution when
it is truncated on the left at 0. A reliability model using this distribution
is compared with a two parameter Gamma model.
Friday, September 3, 2004
| Title |
Random mappings of a finite set into itself: some distributional
results and applications |
| Speaker |
Dr. Lyuben Mutafchiev
Bulgarian Academy of Sciences/
American University in Bulgaria |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 109 |
Abstract
This talk deals with mappings of a set of cardinality n into itself. Introducing
appropriate probability measures on the set of all such mappings, we consider
several random mapping models. We study the asymptotic behavior, as n goes
to infinity, of certain statistics associated with these models, focusing on
limiting distributions. Two applications to analysis of algorithms including
random number generators and integer factorization will also be discussed.