Christoph BĂ¶rgers

Department of Mathematics,

Tufts University

- Abel summability
- Abelâ€™s theorem
- Acceptance-rejection sampling from a Gaussian distribution
- Acceptance-rejection sampling from a heavy-tailed distribution
- Algebras of sets and finitely additive measures
- Analyticity of the Laplace transform
- Approximating L1-functions by smooth functions
- Arctangent at infinity
- Asymptotic results motivated by Abelâ€™s theorem
- Bayesâ€™ theorem
- Binomial series
- Bohr-Mollerup Theorem
- Borel-Cantelli lemma
- Brownian motion
- Brownian motion and diffusion
- Cadlag property of distribution functions
- Caratheodory measurable sets
- Caratheodory outer measure
- Caratheodory's extension theorem
- Caratheodory's sigma algebra versus the generated sigma algebra
- Cauchy's formula for repeated anti-differentiation
- Characteristic functions of Borel probability measures
- Convergence almost surely, in probability, and in distribution
- Convergence in distribution
- Dynkin's pi-lambda theorem
- Equilibrium renewal processes, non-rigorous treatment
- Error function
- Euler's product representation of the gamma function
- Euler-Mascheroni constant
- Expected value
- Exponential integral
- Extendability condition for finitely additive measures
- Extendability condition for the Stieltjes length of intervals
- First passage times for Brownian motion in one dimension
- First passage times for the simple random walk on the integers
- Fourier transform of L1 functions
- Frechet distributions
- Gumbel distribution
- Hegselmann-Krause model
- Infinite products of positive numbers
- Injectivity of the Laplace transform
- Kermack-McKendrick model
- Laplace transform, definition and examples
- Law of exponents
- Multivariate Gaussians
- Pairwise comparison diagrams and preference schedules
- Probability from evidence - Laplaceâ€™s rule of succession
- Range voting and majority judgment
- Rate of convergence to the Frechet limit, example 1
- Rate of convergence to the Frechet limit, example 2
- Rate of convergence to the Gumbel limit, example
- Relativistic velocity addition from the constant of c
- Riemann-Liouville fractional anti-derivative
- Sampling from a convex combination of probability distributions
- Shannon entropy
- Symmetric random walks at constant speed on the real line
- Tauber's theorem
- Uniform convergence of distribution functions
- Weibull distributions
- What makes Tauber's theorem interesting?
- When Ax and Bx have the same length for all x