New probability distributions in astrophysics: II. The generalized and double truncated Lindley

Abstract

The statistical parameters of five generalizations of the Lindley distribution, such as the average, variance and moments, are reviewed. A new double truncated Lindley distribution with three parameters is derived. The new distributions are applied to model the initial mass function for stars.

15 pages, 7 figures

References in corpus (4)

• The Monitor project: Rotation of low-mass stars in NGC 2362 -- testing the disc regulation paradigm at 5 Myr
• The low-mass Initial Mass Function in the young cluster NGC 6611
• Young cluster Berkeley 59 : Properties, evolution and star formation
• The truncated Lindley distribution with applications in astrophysics

Cited by in corpus (1)

• New probability distributions in astrophysics: V. The truncated Weibull distribution