#
Christopher Small's Home Page

Welcome to my home page. I am a Professor in the Department of Statistics
and Actuarial Science, with interests in the foundations of statistical
inference (including estimating functions and function space methods in
statistics), stochastic geometry and the statistical theory of shape.
###
Contacting Me:

If you wish to contact me, please click
here.
###
Resumé:

Here is a resumé
(PDF).
This was last updated on November 9, 2011.

### Books

C. G. Small (2010). Expansions and Asymptotics for Statistics.
Monographs in Statistics and Applied Probability 115. CRC Press.
C. G. Small (2007). Functional
Equations and How to Solve Them. Published in Springer Problem Books in Mathematics.
C. G. Small and Jinfang Wang (2003) Numerical Methods for Nonlinear Estimating Equations.
. Published in Oxford Statistical Science Series.
C. G. Small (1996). The Statistical Theory of Shape. In the Springer Series in Statistics.
C. G. Small and D. L. McLeish (1994). Hilbert Space Methods in Probability and Statistical Inference. Published by
Wiley.

### Bits and Pieces

Multivariate Analysis of Data in Curved Shape Spaces
Slides from a talk given at the Fields Institute at the International Workshop on Perspectives in High Dimensional
Data Analysis (IWPHDA) in June 2011.
Dynamic Random Graph Modelling and Applications in the UK 2001 Foot-and-Mouth Epidemic.
Slides from a talk given at the Winter Meeting of the Canadian Mathematical Society in
December 2009 in Windsor, Ontario. The paper, which is joint work with Yasaman Hosseinkashi and Shoja
Chenouri, has a self-explanatory title. The basic idea is to use a Markov chain whose state space is collection
of planar graphs with directed edges. The vertices of the graph are farms where the FMD outbreak occurred, and the
directed edges are the (unobserved) paths of disease contamination from one farm to another. The
power point slides are
here.
Cockroaches and Thylacines.
Slides from a talk given in Tasmania in August 2008. In the talk I examine some statistical
questions about species extinction from the fossil record. The talk also includes some
statistical analysis of population decline for the thylacine in early twentieth century Tasmania.
The
1998 International Mathematical Olympiad. Since 1995, I have been working
in one capacity or another as a Canadian representative to the International
Mathematical Olympiad. This brief report on the 1998 IMO, when I was Leader
for the Canadian team, does not stand on its own. However, for those interested
in mathematics competitions, this report provides some idea of the personal
side of training for such an event.
Here is a talk on "Likelihood Tilting" (
PS and
PDF)
that I gave at the University of Tokyo and Chiba University during a trip
to Japan in May 2001.
While on that trip I gave a talk on "The Statistical Analysis of Dynamic
Curves and Sections" at the Institute for Statistical Mathematics in Tokyo.
(
PS and
PDF)
This talk was also given at the University of Florida, January 11-12, 2002
at the IMS Winter Workshop on Imaging, Classification and Clustering.
At the summer IMO training camp held at the University of New Brunswick
in June 2001, I used the following materials for training and competitive
games. (
PS and
PDF)
In 2007 at the University of Guelph, I gave a talk on the estimation of
covariance kernels for nonstationary processes. Here are the slides.
(PDF)
More training materials for the IMO. IN this case some problem sets for the 2009 IMO summer training
camp at Banff, Alberta.

Games and Strategies (PDF)

Offbeat Geometry Problems (PDF)

The Rearrangement Inequality and Consequences (PDF).
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