Jump to content

User:Michael Hardy

From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by Michael Hardy (talk | contribs) at 18:28, 15 October 2003. The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

I am a statistician and mathematician interested in foundational issues in probability and statistical inference.

Among pages I have initiated (some of which have since been substantially edited by others) are these:

incidence algebra, Ladislaus Bortkiewicz, Euler characteristic, stereographic projection, Gauss-Markov theorem, common logarithm, Dirichlet kernel, exponential growth (a concept that "laymen" perhaps do not realize that they do not understand)

empty product This explains that 00 is almost always 1, and should be taken to be 1 for the purposes of set theory, combinatorics, probability, and power series.

binomial type, Sheffer sequence, umbral calculus, John Gillespie Magee, Junior, Bell numbers, Hermite polynomials, Chebyshev polynomials, Bernoulli polynomials, Completeness (statistics), Sufficiency (statistics), logit, Kolmogorov's zero-one law

Archimedes Palimpsest This one mentions ancient history, mathematics, physics, engineering, an art museum, a federal lawsuit, and a very old hierarchical religious organization, in a very short space, without undue cramming;

How Archimedes used infinitesimals, Archimedean property, tidal resonance, martingale, margin of error, zeta distribution, Zipf's law, confidence interval, Bruno de Finetti, Woods Hole Oceanographic Institution, Eric Temple Bell, Arthur Cayley, Maxwell's theorem, law of total probability, law of total expectation, law of total variance, Riemann-Stieltjes integral, bounded variation, Fall of Constantinople, Carl Louis Ferdinand von Lindemann, Charles Hermite, orthogonal polynomials (Do not move that article to "orthogonal polynomial" under a delusion that that would conform to the convention of titling an article "dog" rather than "dogs". That would be absurd. There is no such thing as an orthogonal polynomial; there is such a thing as orthogonal polynomials.), pointwise convergence, Bernstein polynomial, George Boolos, Cantor's theorem, Löwenheim-Skolem theorem, second-order logic

I moved the anonymously written "absolutely continuous" page to absolute continuity and rewrote it from scratch, including both absolute continuity of real functions, and absolute continuity of measures and the Radon-Nykodym theorem.