New Probability Distributions in Astrophysics: IX. Truncation for Exponential, Half Gaussian and Sech-Square Distributions with Application to the Galactic Height

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چکیده

What distribution function best fits that of the stars’ heights above Galactic plane? Can truncated distributions improve fit? In order to answer questions, we derive probability density function, average value, rth moment, median, an expression generate random variate and maximum likelihood estimator, for exponential, half-normal sech-square distributions. The results are applied galactic height open clusters Gaia’s stars in understand whether useful or not astronomers.

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ژورنال

عنوان ژورنال: International Journal of Astronomy and Astrophysics

سال: 2022

ISSN: ['2161-4717', '2161-4725']

DOI: https://doi.org/10.4236/ijaa.2022.124019