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The proper estimation of the background is a crucial component of data analyses in astrophysics, such as source detection, temporal studies, spectroscopy, and localization. For the case of the Large Area Telescope (LAT) on board the Fermi…

Instrumentation and Methods for Astrophysics · Physics 2013-08-28 V. Vasileiou

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

Statistics Theory · Mathematics 2017-07-25 Abhik Ghosh , Ayanendranath Basu

We propose a general method for constructing hypothesis tests and confidence sets that have finite sample guarantees without regularity conditions. We refer to such procedures as "universal." The method is very simple and is based on a…

Statistics Theory · Mathematics 2022-10-21 Larry Wasserman , Aaditya Ramdas , Sivaraman Balakrishnan

Dwarf spheroidal galaxies have a large mass to light ratio and low astrophysical background, and are therefore considered one of the most promising targets for dark matter searches in the gamma-ray band. By applying a joint likelihood…

High Energy Astrophysical Phenomena · Physics 2019-08-15 M. Llena Garde , J. Conrad , J. Cohen-Tanugi , M. Kaplinghat , G. Martinez

We suggest a method for statistical tests which does not suffer from a posteriori manipulations with tested samples (e.g. cuts optimization) and does not require a somewhat obscure procedure of the penalty estimate. The idea of the method…

Astrophysics · Physics 2009-11-10 Boris E. Stern , Juri Poutanen

We search for dark matter (DM) annihilating subhalos of the Milky Way halo among the Fermi Large Area Telescope (LAT) unassociated sources. We construct, for the first time, a statistical model of the unassociated sources at latitudes above…

High Energy Astrophysical Phenomena · Physics 2025-03-20 Aurelio Amerio , Dmitry Malyshev , Bryan Zaldivar , Viviana Gammaldi , Miguel Ángel Sánchez-Conde

Inference based on the penalized density ratio model is proposed and studied. The model under consideration is specified by assuming that the log--likelihood function of two unknown densities is of some parametric form. The model has been…

Statistics Theory · Mathematics 2008-07-17 Konstantinos Fokianos

Since 2008 August the Fermi Large Area Telescope (LAT) has provided continuous coverage of the gamma-ray sky yielding more than 5000 gamma-ray sources, but 54% of the detected sources remain with no certain or unknown association with a low…

High Energy Astrophysical Phenomena · Physics 2020-12-01 Chiaro G. , Kovacevic M. , La Mura G

This review outlines concepts of mathematical statistics, elements of probability theory, hypothesis tests and point estimation for use in the analysis of modern astronomical data. Least squares, maximum likelihood, and Bayesian approaches…

Instrumentation and Methods for Astrophysics · Physics 2012-05-10 Eric D. Feigelson , G. Jogesh Babu

We study diffuse gamma-ray emission at intermediate Galactic latitudes measured by the Fermi Large Area Telescope with the aim of searching for a signal from dark matter annihilation or decay. In the absence of a robust dark matter signal,…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Gabrijela Zaharijas , Jan Conrad , Alessandro Cuoco , Zhaoyu Yang

Model-independent searches in particle physics aim at completing our knowledge of the universe by looking for new possible particles not predicted by the current theories. Such particles, referred to as signal, are expected to behave as a…

Applications · Statistics 2019-05-31 Alessandro Casa , Giovanna Menardi

In many hypothesis testing applications, we have mixed priors, with well-motivated informative priors for some parameters but not for others. The Bayesian methodology uses the Bayes factor and is helpful for the informative priors, as it…

Data Analysis, Statistics and Probability · Physics 2022-10-05 Jakob Robnik , Uroš Seljak

Despite the growing number of gamma-ray sources detected by Fermi-LAT, about one third of the sources in each survey remains of uncertain type. We present a new deep neural network approach for the classification of unidentified or…

High Energy Astrophysical Phenomena · Physics 2021-09-28 Thorben Finke , Michael Krämer , Silvia Manconi

Numerical simulations based on the Lambda-CDM model of cosmology predict a large number of as yet unobserved Galactic dark matter satellites. We report the results of a Large Area Telescope (LAT) search for these satellites via the…

High Energy Astrophysical Phenomena · Physics 2013-01-04 The Fermi LAT Collaboration , M. Ackermann , A. Albert , L. Baldini , J. Ballet , G. Barbiellini , D. Bastieri , K. Bechtol , R. Bellazzini , R. D. Blandford , E. D. Bloom , E. Bonamente , A. W. Borgland , E. Bottacini , T. J. Brandt , J. Bregeon , M. Brigida , P. Bruel , R. Buehler , T. H. Burnett , G. A. Caliandro , R. A. Cameron , P. A. Caraveo , J. M. Casandjian , C. Cecchi , E. Charles , J. Chiang , S. Ciprini , R. Claus , J. Cohen-Tanugi , J. Conrad , S. Cutini , F. de Palma , C. D. Dermer , S. W. Digel , E. do Couto e Silva , P. S. Drell , A. Drlica-Wagner , R. Essig , L. Falletti , C. Favuzzi , S. J. Fegan , W. B. Focke , Y. Fukazawa , S. Funk , P. Fusco , F. Gargano , S. Germani , N. Giglietto , F. Giordano , M. Giroletti , T. Glanzman , G. Godfrey , I. A. Grenier , S. Guiriec , M. Gustafsson , D. Hadasch , M. Hayashida , X. Hou , R. E. Hughes , R. P. Johnson , A. S. Johnson , T. Kamae , H. Katagiri , J. Kataoka , J. Knodlseder , M. Kuss , J. Lande , L. Latronico , S. -H. Lee , A. M. Lionetto , M. Llena Garde , F. Longo , F. Loparco , M. N. Lovellette , P. Lubrano , M. N. Mazziotta , J. E. McEnery , P. F. Michelson , W. Mitthumsiri , T. Mizuno , A. A. Moiseev , C. Monte , M. E. Monzani , A. Morselli , I. V. Moskalenko , S. Murgia , M. Naumann-Godo , J. P. Norris , E. Nuss , T. Ohsugi , A. Okumura , E. Orlando , J. F. Ormes , M. Ozaki , D. Paneque , V. Pelassa , M. Pierbattista , F. Piron , G. Pivato , T. A. Porter , S. Raino , R. Rando , M. Razzano , A. Reimer , O. Reimer , S. Ritz , H. F. -W. Sadrozinski , N. Sehgal , C. Sgro , E. J. Siskind , P. Spinelli , L. Strigari , D. J. Suson , H. Tajima , H. Takahashi , T. Tanaka , J. G. Thayer , J. B. Thayer , L. Tibaldo , M. Tinivella , D. F. Torres , E. Troja , Y. Uchiyama , T. L. Usher , J. Vandenbroucke , V. Vasileiou , G. Vianello , V. Vitale , A. P. Waite , P. Wang , B. L. Winer , K. S. Wood , Z. Yang , S. Zalewski , S. Zimmer

A class of multivariate spectral representations for real-valued nonstationary random variables is introduced, which is characterised by a general complex Gaussian distribution. In this way, the temporal signal properties -- harmonicity,…

Signal Processing · Electrical Eng. & Systems 2020-07-29 Bruno Scalzo , Ljubisa Stankovic , Danilo P. Mandic

Since its launch in 2008, the Fermi Large Area Telescope (LAT) has detected over 200 -ray pulsars above 100 MeV. This population of pulsars is characterised by a rich diversity of light curve morphologies. Researchers have been using both…

High Energy Astrophysical Phenomena · Physics 2017-12-25 M. C. Bezuidenhout , C. Venter , A. S. Seyffert , A. K. Harding

We study diffuse gamma-ray emission at intermediate Galactic latitudes measured by the Fermi Large Area Telescope with the aim of searching for a signal from dark matter annihilation or decay. In the absence of a robust dark matter signal,…

High Energy Astrophysical Phenomena · Physics 2013-04-10 G. Zaharijas , J. Conrad , A. Cuoco , Z. Yang

Due to a large mass-to-light ratio and low astrophysical backgrounds, dwarf spheroidal galaxies (dSphs) are considered to be one of the most promising targets for dark matter searches via gamma rays. The Fermi LAT Collaboration has recently…

High Energy Astrophysical Phenomena · Physics 2019-08-13 Alex Drlica-Wagner

In this article, we consider the problem of distributed detection of a localized radio source emitting a signal. We consider that geographically distributed sensor nodes obtain energy measurements and compute cooperatively a statistic to…

Signal Processing · Electrical Eng. & Systems 2023-12-20 Juan Augusto Maya , Leonardo Rey Vega , Andrea M. Tonello

Around one third of the point-like sources in the Fermi-LAT catalogs remain as unidentified sources (unIDs) today. Indeed, these unIDs lack a clear, univocal association with a known astrophysical source. If dark matter (DM) is composed of…

High Energy Astrophysical Phenomena · Physics 2023-02-21 V. Gammaldi , B. Zaldívar , M. A. Sánchez-Conde , J. Coronado-Blázquez