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 k th 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.
KeywordsStars: NormalStars: Luminosity FunctionMass Function Stars: Statistics
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