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The distributions of a galaxy's gas and stars in chemical space encodes a tremendous amount of information about that galaxy's physical properties and assembly history. However, present methods for extracting information from chemical…

Astrophysics of Galaxies · Physics 2018-02-14 Mark R. Krumholz , Yuan-Sen Ting

Experiments involving the two-dimensional passive diffusion of colloidal boomerangs tracked off their centre of mobility have shown striking non-Gaussian tails in their probability distribution function [Chakrabarty et al., Soft Matter 12,…

Soft Condensed Matter · Physics 2018-04-18 Lyndon Koens , Maciej Lisicki , Eric Lauga

We establish the large deviations asymptotic performance (error exponent) of consensus+innovations distributed detection over random networks with generic (non-Gaussian) sensor observations. At each time instant, sensors 1) combine theirs…

Information Theory · Computer Science 2015-06-03 Dragana Bajovic , Dusan Jakovetic , Jose M. F. Moura , Joao Xavier , Bruno Sinopoli

In this paper, we consider the distribution of the supremum of non-stationary Gaussian processes, and present a new theoretical result on the asymptotic behaviour of this distribution. Unlike previously known facts in this field, our main…

Probability · Mathematics 2020-05-25 Valentin Konakov , Vladimir Panov , Vladimir Piterbarg

This article aims to introduced a new lifetime distribution named as exponentiated xgamma distribution (EXGD). The new generalization obtained from xgamma distribution, a special finite mixture of exponential and gamma distributions. The…

Statistics Theory · Mathematics 2018-10-22 Abhimanyu Singh Yadav , Mahendra Saha , Harsh Tripathi , Sumit Kumar

The conventional wisdom, dating back to 2012, is that the mass distribution of Galactic double neutron stars is well-fit by a Gaussian distribution with a mean of $1.33 M_\odot$ and a width of $0.09 M_\odot$. With the recent discovery of…

High Energy Astrophysical Phenomena · Physics 2019-12-13 Nicholas Farrow , Xing-Jiang Zhu , Eric Thrane

In this paper, we characterize the convergence of the (rescaled logarithmic) empirical spectral distribution of wavelet random matrices. We assume a moderately high-dimensional framework where the sample size $n$, the dimension $p(n)$ and,…

Probability · Mathematics 2024-01-08 Patrice Abry , Gustavo Didier , Oliver Orejola , Herwig Wendt

This letter matches the shape of the star formation intensity distribution function to empirical laws such as the Schmidt law. The shape of the distribution at a redshift of one is reproduced from the empirical Schmidt law with a critical…

Astrophysics · Physics 2009-11-07 Rodger I. Thompson

M 2 has been claimed to posses three distinct stellar components that are enhanced in iron relative to each other. We use equivalent width measurements from 14 red giant branch stars from which Yong et al. detect a $\sim$0.8 dex wide,…

Solar and Stellar Astrophysics · Physics 2016-01-27 C. Lardo , A. Mucciarelli , N. Bastian

The Weibull distribution can be obtained using a power transformation from the standard exponential distribution. In this article, we will consider a symmetrized power transformation of a random variable with the standard normal…

Probability · Mathematics 2024-01-09 Krzysztof Zajkowski

The present paper considers modified extension of the exponential distribution with three parameters. We study the main properties of this new distribution, with special emphasis on its median, mode and moments function and some…

Other Statistics · Statistics 2015-10-28 M. A. El-Damcese , Dina. A. Ramadan

Although gravitational waves only interact weakly with matter, their propagation is affected by a gravitational potential. If a gravitational wave source is eclipsed by a star, measuring these perturbations provides a way to directly…

Solar and Stellar Astrophysics · Physics 2020-02-05 Pablo Marchant , Katelyn Breivik , Christopher P. L. Berry , Ilya Mandel , Shane L. Larson

Joint evaluation of different meteor observation types support the better understanding of both the meteor phenomenon and the terrestrial atmosphere. Two types of examples are presented in this work, linking ionospheric effects to specific…

Instrumentation and Methods for Astrophysics · Physics 2021-08-04 Á. Kereszturi , V. Barta , I. Bondár , Cs. Czanik , A. Igaz , P. Mónus , D. Rezes , L. Szabados , B. D. Pál

The observationally complete sample of the main belt asteroids now spans more than two orders of magnitude in size and numbers more than 64,000 (excluding collisional family members). We undertook an analysis of asteroids' eccentricities…

Earth and Planetary Astrophysics · Physics 2017-01-11 Renu Malhotra , Xianyu Wang

The integrated spectro-photometric properties of star clusters are subject to large cluster-to-cluster variations. They are distributed in non trivial ways around the average properties predicted by standard population synthesis models.…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-20 M. Fouesneau , A. Lançon

We present a mathematical method to statistically decouple the effects of unknown inclination angles on the mass distribution of exoplanets that have been discovered using radial-velocity techniques. The method is based on the distribution…

Earth and Planetary Astrophysics · Physics 2015-06-05 S. Lopez , J. S. Jenkins

Heavy-tailed distributions are widely used in robust mixture modelling due to possessing thick tails. As a computationally tractable subclass of the stable distributions, sub-Gaussian $\alpha$-stable distribution received much interest in…

Machine Learning · Statistics 2017-01-25 Mahdi Teimouri , Saeid Rezakhah , Adel Mohammdpour

This article aims to introduced a new distribution named as extended xgamma (EXg) distribution. This generalization is derived from xgamma distribution (Xg), a special finite mixture of exponential and gamma distributions [see, Sen et al.…

Statistics Theory · Mathematics 2019-09-04 Mahendra Saha , Abhimanyu Singh Yadav , Arvind Pandey , Shivanshi Shukla , Sudhansu S Maiti

The lognormal distribution describing, e.g., exponentials of Gaussian random variables is one of the most common statistical distributions in physics. It can exhibit features of broad distributions that imply qualitative departure from the…

Data Analysis, Statistics and Probability · Physics 2009-11-07 M. Romeo , V. Da Costa , F. Bardou

We give the first determination of the observed peculiar velocity distribution function for a representative sample of galaxies (within 50 Mpc (H=100) of the Local Group), which includes a wide range of clustering properties. We explore in…

Astrophysics · Physics 2009-10-28 Somak Raychaudhury , William C. Saslaw