New Probability Distributions in Astrophysics: XIII. Truncation for the Benini Distribution  

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

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

出　　处：《International Journal of Astronomy and Astrophysics》2024年第3期203-219,共17页天文学与天体物理学国际期刊（英文）

摘　　要：In order to introduce a right truncated version of the Benini distribution, we derive its probability density function, its distribution function, its average value, its kth moment about the origin, its median, how to randomly generate its values, and the maximum likelihood estimator for its three unknown parameters. The astrophysical application of the Benini distribution and its right truncated version is to the initial mass function for stars.In order to introduce a right truncated version of the Benini distribution, we derive its probability density function, its distribution function, its average value, its kth moment about the origin, its median, how to randomly generate its values, and the maximum likelihood estimator for its three unknown parameters. The astrophysical application of the Benini distribution and its right truncated version is to the initial mass function for stars.

关 键 词：Stars: Normal Stars: Luminosity Function Mass Function Stars: Statistics 

分 类 号：O17[理学—数学]