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The Truncated Lindley Distribution with Applications in Astrophysics

Physics Department, via P.Giuria 1, I-10125 Turin, Italy
Galaxies 2019, 7(2), 61; https://doi.org/10.3390/galaxies7020061
Received: 28 March 2019 / Revised: 23 May 2019 / Accepted: 23 May 2019 / Published: 29 May 2019
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Abstract

This paper reviews the Lindley distribution and then introduces the scale and the double truncation. The unknown parameters of the truncated Lindley distribution are evaluated with the maximum likelihood estimators. An application of the Lindley distribution with scale is done to the initial mass function for stars. The magnitude version of the Lindley distribution with scale is applied to the luminosity function for the Sloan Digital Sky Survey (SDSS) galaxies and to the photometric maximum of the 2MASS Redshift Survey (2MRS) galaxies. The truncated Lindley luminosity function allows to model the Malquist bias of the 2MRS galaxies. View Full-Text
Keywords: stars: normal; galaxy: groups, clusters, and superclusters; large scale structure of the Universe; Cosmology stars: normal; galaxy: groups, clusters, and superclusters; large scale structure of the Universe; Cosmology
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Zaninetti, L. The Truncated Lindley Distribution with Applications in Astrophysics. Galaxies 2019, 7, 61.

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