A Unified Approach to the Classical Statistical Analysis of Small SignalsWe give a classical confidence belt construction which unifies the treatment of upper confidence limits for null results and two-sided confidence intervals for non-null results. The unified treatment…Gary J. Feldman, Robert D. Cousins·Nov 22, 1997SaveLearn
Aftershocks in Coherent-Noise ModelsThe decay pattern of aftershocks in the so-called 'coherent-noise' models [M. E. J. Newman and K. Sneppen, Phys. Rev. E54, 6226 (1996)] is studied in detail. Analytical and numerical results…C. Wilke, S. Altmeyer, T. Martinetz·Oct 20, 1997SaveLearn
BAYES-LIN: An object-oriented environment for Bayes linear local computationBAYES-LIN is an extension of the LISP-STAT object-oriented statistical computing environment, which adds to LISP-STAT some object prototypes appropriate for carrying out local computation via…Darren J Wilkinson·Oct 16, 1997SaveLearn
Incorporation of the statistical uncertainty in the background estimate into the upper limit on the signalWe present a procedure for calculating an upper limit on the number of signal events which incorporates the Poisson uncertainty in the background, estimated from control regions of one or two…K. K. Gan·Jul 25, 1997SaveLearn
Experiments on Critical Phenomena in a Noisy Exit ProblemWe consider noise-driven exit from a domain of attraction in a two-dimensional bistable system lacking detailed balance. Through analog and digital stochastic simulations, we find a theoretically…D. G. Luchinsky, R. S. Maier, R. Mannella et al.·Jul 1, 1997SaveLearn
Objective Bayesian StatisticsBayesian inference --- although becoming popular in physics and chemistry --- is hampered up to now by the vagueness of its notion of prior probability. Some of its supporters argue that this…O. -A. Al-Hujaj, H. L. Harney·Jun 18, 1997SaveLearn
The Analysis of Data from Continuous Probability DistributionsConventional statistics begins with a model, and assigns a likelihood of obtaining any particular set of data. The opposite approach, beginning with the data and assigning a likelihood to any…Timothy E. Holy·Jun 10, 1997SaveLearn
Monte Carlo Implementation of Gaussian Process Models for Bayesian Regression and ClassificationGaussian processes are a natural way of defining prior distributions over functions of one or more input variables. In a simple nonparametric regression problem, where such a function gives the mean…Radford M. Neal·Jan 28, 1997SaveLearn
A Theory of Measurement Uncertainty Based on Conditional ProbabilityA theory of measurement uncertainty is presented, which, since it is based exclusively on the Bayesian approach and on the subjective concept of conditional probability, is applicable in the most…G. D'Agostini·Nov 21, 1996SaveLearn