New Probability Distributions in Astrophysics: VIII. The Truncated Weibull—Pareto Distribution  

作　　者：Lorenzo Zaninetti Lorenzo Zaninetti(Department of Physics, Turin, Italy)

机构地区：[1]Department of Physics, Turin, Italy

出　　处：《International Journal of Astronomy and Astrophysics》2022年第2期177-193,共17页天文学与天体物理学国际期刊（英文）

摘　　要：We derive the truncated version of the Weibull—Pareto distribution, deriving the probability density function, the distribution function, the average value, the rth moment about the origin, the media, the random generation of values and the maximum likelihood estimator which allows deriving the three parameters. The astrophysical applications of the Weibull—Pareto distribution are the initial mass function for stars, the luminosity function for the galaxies of the Sloan Digital Sky Survey, the luminosity function for QSO and the photometric maximum of galaxies of the 2 MASS Redshift Survey.We derive the truncated version of the Weibull—Pareto distribution, deriving the probability density function, the distribution function, the average value, the rth moment about the origin, the media, the random generation of values and the maximum likelihood estimator which allows deriving the three parameters. The astrophysical applications of the Weibull—Pareto distribution are the initial mass function for stars, the luminosity function for the galaxies of the Sloan Digital Sky Survey, the luminosity function for QSO and the photometric maximum of galaxies of the 2 MASS Redshift Survey.

关 键 词：Stars: Normal Galaxy Groups CLUSTERS SUPERCLUSTERS Large Scale Structure of the Universe COSMOLOGY 

分 类 号：P15[天文地球—天文学]