Application of Conditioning to the Gaussian-with-Boundary Problem in the Unified Approach to Confidence IntervalsRoe and Woodroofe (RW) have suggested that certain conditional probabilities be incorporated into the ``unified approach'' for constructing confidence intervals, previously described by…Robert D. Cousins·Jan 15, 2000SaveLearn
Approaching the parameter estimation quality of maximum likelihood via generalized momentsA simple criterion is presented for a practical construction of generalized moments that allow one to approach the theoretical Rao-Cramer limit for parameter estimation while avoiding the complexity…Fyodor V. Tkachov·Jan 9, 2000SaveLearn
Kalman Filter Track Fits and Track Breakpoint AnalysisWe give an overview of track fitting using the Kalman filter method in the NOMAD detector at CERN, and emphasize how the wealth of by-product information can be used to analyze track breakpoints…Pierre Astier, Alessandro Cardini, Robert D. Cousins et al.·Dec 16, 1999SaveLearn
Mixtures of Gaussian process priorsNonparametric Bayesian approaches based on Gaussian processes have recently become popular in the empirical learning community. They encompass many classical methods of statistics, like Radial Basis…J. C. Lemm·Nov 30, 1999SaveLearn
Analyzing symmetry breaking within a chaotic quantum system via Bayesian inferenceBayesian inference is applied to the level fluctuations of two coupled microwave billiards in order to extract the coupling strength. The coupled resonators provide a model of a chaotic quantum…C. I. Barbosa, H. L. Harney·Oct 25, 1999SaveLearn
Diversity Assessment Based on a Higher Similarity-Higher Entropy Relation after Rejection of Gibbs ParadoxThe diversity of the symbols of the information source is calculated following the definition that entropy is the information loss and following a new entropy-symbol similarity relation after the…Shu-Kun Lin·Oct 21, 1999SaveLearn
Joint Bayesian Treatment of Poisson and Gaussian Experiments in a Chi-squared StatisticBayesian Poisson probability distributions for the average n can be analytically converted into equivalent chi-squared distributions. These can then be combined with other Gaussian or Bayesian…Dennis Silverman·Oct 19, 1999SaveLearn
Publication Bias (The "File-Drawer Problem") in Scientific InferencePublication bias arises whenever the probability that a study is published depends on the statistical significance of its results. This bias, often called the file-drawer effect since the unpublished…Jeffrey D. Scargle·Sep 17, 1999SaveLearn
Track Restore Technique (RST) Applied to Analysis of Waveform of Voltage Pulse in SAGE Proportional CountersA kind of analysis of waveform of voltage pulse in small proportional counter is described. The technique is based on deconvolution of recorded pulse with a response function of the counter. It…J. N. Abdurashitov, T. V. Ibragimova, A. V. Kalikhov·Aug 12, 1999SaveLearn
Teaching statistics in the physics curriculum: Unifying and clarifying role of subjective probabilitySubjective probability is based on the intuitive idea that probability quantifies the degree of belief that an event will occur. A probability theory based on this idea represents the most general…G. D'Agostini·Aug 6, 1999SaveLearn
Signature of Fermi surface jumps in positron spectroscopy dataA subtractionless method for solving Fermi surface sheets ( FSS), from measured n-axis-projected momentum distribution histograms by two-dimensional angular correlation of the…Gh. Adam, S. Adam·Aug 5, 1999SaveLearn
When do finite sample effects significantly affect entropy estimates ?An expression is proposed for determining the error caused on entropy estimates by finite sample effects. This expression is based on the Ansatz that the ranked distribution of probabilities tends to…T. Dudok de Wit·Jun 30, 1999SaveLearn
Overcoming priors anxietyThe choice of priors may become an insoluble problem if priors and Bayes' rule are not seen and accepted in the framework of subjectivism. Therefore, the meaning and the role of subjectivity in…G. D'Agostini·Jun 24, 1999SaveLearn
Large deviations from the thermodynamic limit in globally coupled mapsSystems of a large number N of globally coupled maps have become popular as a relatively simple prototype of high-dimensional dynamics, showing many interesting and typical phenomena like…Andreas Hamm·Jun 23, 1999SaveLearn
Time Series Forecasting: A Nonlinear Dynamics ApproachThe problem of prediction of a given time series is examined on the basis of recent nonlinear dynamics theories. Particular attention is devoted to forecast the amplitude and phase of one of the most…Stefano Sello·Jun 21, 1999SaveLearn
Artificial Neural Network Modeling of Forest Tree GrowthThe problem of modeling forest tree growth curves with an artificial neural network (NN) is examined. The NN parametric form is shown to be a suitable model if each forest tree plot is assumed to…Christopher Gordon·Jun 7, 1999SaveLearn
Analytic Confidence Level Calculations using the Likelihood Ratio and Fourier TransformThe interpretation of new particle search results involves a confidence level calculation on either the discovery hypothesis or the background-only ("null") hypothesis. A typical approach…Hongbo Hu, Jason Nielsen·Jun 4, 1999SaveLearn
Test your surrogate data before you test for nonlinearityThe schemes for the generation of surrogate data in order to test the null hypothesis of linear stochastic process undergoing nonlinear static transform are investigated as to their consistency in…D. Kugiumtzis·May 7, 1999SaveLearn
Universal geometric approach to uncertainty, entropy and informationIt is shown that for any ensemble, whether classical or quantum, continuous or discrete, there is only one measure of the "volume" of the ensemble that is compatible with several basic…Michael J. W. Hall·Mar 30, 1999SaveLearn
Definition of Nonequilibrium Entropy of General SystemsThe definition of nonequilibrium entropy is provided for the general nonequilibrium processes by connecting thermodynamics with statistical physics, and the principle of entropy increment in the…Xiaochun Mei·Mar 25, 1999SaveLearn
HEMAS: a Monte Carlo code for hadronic, electromagnetic and TeV muon components in air showerThe features of the HEMAS code are presented. The results of the comparison between the Monte Carlo expectation and the experimental data are shown.E. Scapparone·Feb 17, 1999SaveLearn
Experimental evidence of a phase transition to fully developed turbulence in a wake flowThe transition to fully developed turbulence of a wake behind a circular cylinder is investigated with respect to its statistics. In particular, we evaluated the probability density functions of…St. Lück, J. Peinke, R. Friedrich·Feb 4, 1999SaveLearn
Time Series Forecasting: A Multivariate Stochastic ApproachThis note deals with a multivariate stochastic approach to forecast the behaviour of a cyclic time series. Particular attention is devoted to the problem of the prediction of time behaviour of…Stefano Sello·Feb 2, 1999SaveLearn
How to quantify deterministic and random influences on the statistics of the foreign exchange marketIt is shown that prize changes of the US dollar - German Mark exchange rates upon different delay times can be regarded as a stochastic Marcovian process. Furthermore we show that from the empirical…Rudolf Friedrich, Joachim Peinke, Christoph Renner·Jan 21, 1999SaveLearn
Anomalous jumping in a double-well potentialNoise induced jumping between meta-stable states in a potential depends on the structure of the noise. For an α-stable noise, jumping triggered by single extreme events contributes to the…P. D. Ditlevsen·Jan 5, 1999SaveLearn