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Within the Local Universe galaxies can be studied in great detail star by star, and here we review the results of quantitative studies in nearby dwarf galaxies. The Color-Magnitude Diagram synthesis method is well established as the most…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-15 E. Tolstoy , V. Hill , M. Tosi

Estimating age distributions, or star formation histories, of stellar populations in the Milky Way is important in order to study the evolution of trends in elemental abundances and kinematics. We build on previous work to develop an…

Instrumentation and Methods for Astrophysics · Physics 2021-01-20 Christian L. Sahlholdt , Lennart Lindegren

We present a new iterative rotation inversion technique based on the Simultaneous Algebraic Reconstruction Technique developed for image reconstruction. We describe in detail our algorithmic implementation and compare it to the classical…

Solar and Stellar Astrophysics · Physics 2024-06-17 Sylvain G. Korzennik , Antonio Eff-Darwich

Global Stellar Formation Rates or SFRs are crucial to constrain theories of galaxy formation and evolution. SFR's are usually estimated via spectroscopic observations which require too much previous telescope time and therefore cannot match…

Instrumentation and Methods for Astrophysics · Physics 2019-01-24 Michele Delli Veneri , Stefano Cavuoti , Massimo Brescia , Giuseppe Riccio , Giuseppe Longo

Crystal structures can be predicted from first-principles using ab initio random structure searching AIRSS and density functional theory (DFT). AIRSS provides a method to sample the potential energy landscape and DFT provides a robust and…

Materials Science · Physics 2025-09-30 Lewis J. Conway , Chris J. Pickard

This paper presents the spatially resolved star formation history (SFH) of nearby galaxies with the aim of furthering our understanding of the different processes involved in the formation and evolution of galaxies. To this end, we apply…

Standard maximum-likelihood estimators for binary-star and exoplanet eccentricities are biased high, in the sense that the estimated eccentricity tends to be larger than the true eccentricity. As with most non-trivial observables, a simple…

Solar and Stellar Astrophysics · Physics 2011-01-19 David W. Hogg , Adam D. Myers , Jo Bovy

The Star Formation Rate (SFR) is one of the main parameters used to analyze the evolution of galaxies through time. The need for recovering the light reprocessed by dust commonly requires the use of low spatial resolution far-infrared data.…

This paper focuses on nonparametric statistical inference of the hazard rate function of discrete distributions based on $\delta$-record data. We derive the explicit expression of the maximum likelihood estimator and determine its exact…

Statistics Theory · Mathematics 2025-04-03 Martín Alcalde , Miguel Lafuente , F. Javier López , Lina Maldonado , Gerardo Sanz

In this article we provide initial findings regarding the problem of solving likelihood equations by means of a maximum entropy approach. Unlike standard procedures that require equating at zero the score function of the maximum-likelihood…

Computation · Statistics 2019-06-18 Antonio Calcagnì , Livio Finos , Gianmarco Altoè , Massimiliano Pastore

We consider trawl processes, which are stationary and infinitely divisible stochastic processes and can describe a wide range of statistical properties, such as heavy tails and long memory. In this paper, we develop the first…

Methodology · Statistics 2023-08-31 Dan Leonte , Almut E. D. Veraart

We investigate the star formation history of the universe using FIREWORKS, a multiwavelength survey of the CDFS. We study the evolution of the specific star formation rate (sSFR) with redshift in different mass bins from z = 0 to z ~ 3. We…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Maaike Damen , Natascha M. Förster Schreiber , Marijn Franx , Ivo Labbé , Sune Toft , Pieter G. van Dokkum , Stijn Wuyts

We report on the analysis of ~22,000 M dwarfs using a statistical parallax method. This technique employs a maximum-likelihood formulation to simultaneously solve for the absolute magnitude, velocity ellipsoid parameters and reflex solar…

Solar and Stellar Astrophysics · Physics 2010-12-17 Suzanne L. Hawley , John J. Bochanski , Andrew A. West

We derive an efficient stochastic algorithm for inverse problems that present an unknown linear forcing term and a set of nonlinear parameters to be recovered. It is assumed that the data is noisy and that the linear part of the problem is…

Numerical Analysis · Mathematics 2019-09-17 Darko Volkov

We present a method to self-consistently propagate M$_{*}$ and SFR ($\Psi$) uncertainties onto intercept, slope and intrinsic scatter estimates for a simple model of the main sequence of star forming galaxies where $\Psi = \alpha +…

Astrophysics of Galaxies · Physics 2021-05-10 E. Curtis-Lake , J. Chevallard , S. Charlot , L. Sandles

We develop a statistical analysis model of Kepler star flux data in the presence of planet transits, non-Gaussian noise, and star variability. We first develop a model for Kepler noise probability distribution in the presence of outliers,…

Earth and Planetary Astrophysics · Physics 2021-04-23 Jakob Robnik , Uroš Seljak

Many inverse problems include nuisance parameters which, while not of direct interest, are required to recover primary parameters. Structure present in these problems allows efficient optimization strategies - a well known example is…

Numerical Analysis · Mathematics 2015-06-05 Aleksandr Y. Aravkin , Tristan van Leeuwen

Photometric metallicity formulae of fundamental-mode RR Lyr (RRab) stars are presented using globular-cluster data exclusively. The aim is to check whether this selection may help increasing the overall accuracy of the fits and eliminating…

Solar and Stellar Astrophysics · Physics 2023-08-21 Johanna Jurcsik , Gergely Hajdu

We present an analysis of the many possible methods for simulating and analysing colour-magnitude diagrams, with application to studies of the field halo stellar populations of resolved galaxies. Special consideration is made to the…

Astrophysics · Physics 2009-11-07 C. M. Frayn , G. F. Gilmore

A challenging problem in estimating high-dimensional graphical models is to choose the regularization parameter in a data-dependent way. The standard techniques include $K$-fold cross-validation ($K$-CV), Akaike information criterion (AIC),…

Machine Learning · Statistics 2010-06-18 Han Liu , Kathryn Roeder , Larry Wasserman