Articles

• Minimum Predictive Discrepancy Parameter Estimation (Postscript, PDF). A very rough, preliminary writeup of some ideas I've been toying with since 1998, but haven't yet had the chance to put into practice.

• Efficient computation of statistics for banded multivariate normal distributions (Postscript, PDF). How to efficiently compute (linear time) the mean vector and and a central band of the covariance matrix of a multivariate normal distribution, given a banded precision matrix.

• Notes on Jaynes's Treatment of the Marginalization Paradox (Postscript, PDF).

• Constructing a logic of plausible inference: a guide to Cox's Theorem (Postscript, PDF), K. S. Van Horn, International Journal of Approximate Reasoning 34, no. 1 (Sept. 2003), pp. 3-24. Reviews Cox's Theorem, explicitly listing the assumptions required and discussing (1) the intuition and reasoning behind these requirements, and (2) the most important objections to these requirements. (Preprint)
  • Comments on `Constructing a logic of plausible inference: a guide to Cox's Theorem', by Kevin S. Van Horn (PDF), G. Shafer, IJAR 35, no. 1 (Jan. 2004), pp. 97-105. Comments by Glenn Shafer (of Dempster-Shafer belief function theory).
  • Response to Shafer's comments (Postscript, PDF), K. S. Van Horn, IJAR 35, no. 1 (Jan. 2004), pp. 107-110.