GaussFit is a new computer program for solving least squares and robust estimation problems. It has a number of unique features, including a complete programming language designed especially toâ€¦ (More)

Ockham's Razor, an established principle used every day in science, has deep connections with Bayesian reasoning, which traces directly back to Sir Harold Jeereys' pioneering work on statisticsâ€¦ (More)

Data from experiments that use random event generators are usually analyzed by classical (frequentist) statistical tests, which summarize the statistical significance of the test statistic as aâ€¦ (More)

Model selection (and the related issue of model uncertainty) arises in many astronomical problems, and, in particular, has been one of the focal areas of the Exoplanet working group under the SAMSIâ€¦ (More)

We report the first astrometrically determined mass of an extrasolar planet, a companion previously detected by Doppler spectroscopy. Radial velocities first provided an ephemeris with which toâ€¦ (More)

We develop and describe a Bayesian statistical analysis to solve the surface brightness equations for Cepheid distances and stellar properties. Our analysis provides a mathematically rigorous andâ€¦ (More)

In a least squares adjustment when more than one variable in an equation of condition has error, the results will be affected by unnecessary asymptotic bias unless the algorithm is properlyâ€¦ (More)

Acknowledgments First, I would like to give my deepest gratitude to Dr. Edward I. George, who led me into the Bayesian world, brought this interesting and challenging problem to me and guided meâ€¦ (More)

In this paper we consider some of the applications of automated algebraic manipulation which have been made in Celestial Mechanics. Particular attention is paid to the use of Poisson series, and aâ€¦ (More)