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 ( PS and PDF). This was last updated on July 11, 2008.

Books

  • 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

  • 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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