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In many astronomical problems one often needs to determine the upper and/or lower boundary of a given data set. An automatic and objective approach consists in fitting the data using a generalised least-squares method, where the function to…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 N. Cardiel

We present a method to compare spatial interaction models against data based on well known statistical measures that are appropriate for such models and data. We illustrate our approach using a widely used example: commuting data,…

Physics and Society · Physics 2020-11-09 B. Hilton , A. P. Sood , T. S. Evans

Given a standard model to test, an experiment can be designed to: (i) measure the standard model parameters; (ii) extend the standard model; or (iii) look for evidence of deviations from the standard model. To measure (or extend) the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Adam Amara , Thomas Kitching

Using eigenmode expansion of the Mark-3 and SFI surveys of cosmological radial velocities a goodness-of-fit analysis is applied on a mode-by-mode basis. This differential analysis complements theBayesian maximum likelihood analysis that…

Astrophysics · Physics 2009-10-31 Yehuda Hoffman , Saleem Zaroubi

The increasing sensitivity of current and upcoming gravitational-wave (GW) detectors poses stringent requirements on the accuracy of the GW models used for data analysis. If these requirements are not met, systematic errors could dominate…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Lorenzo Pompili , Alessandra Buonanno , Michael Pürrer

We consider the problem of detecting an elevated mean on an interval with unknown location and length in the univariate Gaussian sequence model. Recent results have shown that using scale-dependent critical values for the scan statistic…

Statistics Theory · Mathematics 2021-07-20 Guenther Walther , Andrew Perry

With the large amounts of spectroscopic data available today and the very large surveys to come (e.g. Gaia), the need for automatic data analysis software is unquestionable. We thus developed an automatic spectra analysis program for the…

Astrophysics of Galaxies · Physics 2015-06-03 Helene Posbic , David Katz , Elisabetta Caffau , Piercarlo Bonifacio , Luca Sbordone , Ana Gomez , Frederic Arenou

Combining multiple events into population analyses is a cornerstone of gravitational-wave astronomy. A critical component of such studies is the assumed population model, which can range from astrophysically motivated functional forms to…

High Energy Astrophysical Phenomena · Physics 2025-05-21 Cecilia Maria Fabbri , Davide Gerosa , Alessandro Santini , Matthew Mould , Alexandre Toubiana , Jonathan Gair

The solution of a fine tuning problem is one of the principal motivations of Supersymmetry. However experimental constraints indicate that many Supersymmetric models are also fine tuned (although to a much lesser extent). We review the…

High Energy Physics - Phenomenology · Physics 2015-05-13 Peter Athron , D. J. Miller

Studies of the distribution and evolution of galaxies are of fundamental importance to modern cosmology; these studies, however, are hampered by the complexity of the competing effects of spectral and density evolution. Constructing a…

Astrophysics · Physics 2009-10-31 R. J. Brunner , A. J. Connolly , A. S. Szalay

The current need for atomic data to model stellar spectra obtained in various wavelength ranges is described. The level of completeness and accuracy of these data is discussed.

Instrumentation and Methods for Astrophysics · Physics 2015-10-01 R. Monier

The full extended Gaia mission spans slightly over 10 years, whilst the current data releases represent only a fraction of it, 34 months in Gaia's third data release (DR3). The longer baseline improves the quality of astrometric fits,…

Solar and Stellar Astrophysics · Physics 2026-04-22 F. Guerriero , Z. Penoyre , A. G. A. Brown

Astronomical data generally consists of 2 or more high-resolution axes, e.g., X,Y position on the sky or wavelength and position-along-one-axis (long-slit spectrometer). Analyzing these multi-dimension observations requires combining 3D…

Instrumentation and Methods for Astrophysics · Physics 2009-02-11 Daniel Dewey , Michael S. Noble

In all applications of gamma-ray spectroscopy, one of the most important and delicate parts of the data analysis is the fitting of the gamma-ray spectra, where information as the number of counts, the position of the centroid and the width,…

Instrumentation and Detectors · Physics 2015-11-16 Guilherme S. Zahn , Frederico A. Genezini , Maurício Moralles

We consider the fundamental problem of matching a template to a signal. We do so by M-estimation, which encompasses procedures that are robust to gross errors (i.e., outliers). Using standard results from empirical process theory, we derive…

Statistics Theory · Mathematics 2020-09-10 Ery Arias-Castro , Lin Zheng

Semi-analytical waveform models for black hole binaries require calibration against numerical relativity waveforms to accurately represent the late inspiral and merger, where analytical approximations fail. After the fitting coefficients…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Simone Mezzasoma , Carl-Johan Haster , Caroline B. Owen , Neil J. Cornish , Nicolás Yunes

This paper presents a statistically sound method for measuring the accuracy with which a probabilistic model reflects the growth of a network, and a method for optimising parameters in such a model. The technique is data-driven, and can be…

Networking and Internet Architecture · Computer Science 2009-04-07 Richard Clegg , Raul Landa , Uli Harder , Miguel Rio

Overtones are known to improve the performance of fits to the ringdown, both in numerical-relativity simulations and gravitational-wave observations. Although the overtone frequencies are a concrete prediction of general relativity, it…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Erin Coleman , Eliot Finch

The original formulation of BEAMS - Bayesian Estimation Applied to Multiple Species - showed how to use a dataset contaminated by points of multiple underlying types to perform unbiased parameter estimation. An example is cosmological…

Instrumentation and Methods for Astrophysics · Physics 2016-03-02 James Newling , Bruce. A. Bassett , Renée Hlozek , Martin Kunz , Mathew Smith , Melvin Varughese

With the availability of multi-object spectrometers and the designing \& running of some large scale sky surveys, we are obtaining massive spectra. Therefore, it becomes more and more important to deal with the massive spectral data…

Instrumentation and Methods for Astrophysics · Physics 2023-12-27 Xiangru Li , Yangtao Lin , Kaibin Qiu