# The Truncated Lindley Distribution with Applications in Astrophysics

@article{Zaninetti2019TheTL, title={The Truncated Lindley Distribution with Applications in Astrophysics}, author={Lorenzo Zaninetti}, journal={Galaxies}, year={2019} }

This paper reviews the Lindley distribution and then introduces the scale and the double truncation. The unknown parameters of the truncated Lindley distribution are evaluated with the maximum likelihood estimators. An application of the Lindley distribution with scale is done to the initial mass function for stars. The magnitude version of the Lindley distribution with scale is applied to the luminosity function for the Sloan Digital Sky Survey (SDSS) galaxies and to the photometric maximum of…

## 7 Citations

### New Probability Distributions in Astrophysics: I. The Truncated Generalized Gamma

- PhysicsInternational Journal of Astronomy and Astrophysics
- 2019

The gamma function is a good approximation to the luminosity function of astrophysical objects, and a truncated gamma distribution would permit a more rigorous analysis. This paper examines the…

### New Probability Distributions in Astrophysics: V. The Truncated Weibull Distribution

- Physics
- 2021

We demonstrate that certain astrophysical distributions can be modelled with the truncated Weibull distribution, which can lead to some insights: in particular, we report the average value, the rth…

### New Probability Distributions in Astrophysics: VI. The Truncated Sujatha Distribution

- PhysicsInternational Journal of Astronomy and Astrophysics
- 2021

The truncated version of the two-parameter Sujatha distribution is analysed. In particular, its probability density function and distribution function are obtained. The results are applied to the…

### New Probability Distributions in Astrophysics: II. The Generalized and Double Truncated Lindley

- PhysicsInternational Journal of Astronomy and Astrophysics
- 2020

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…

### Extended Lindley Distribution with Applications

- MathematicsRevista Colombiana de Estadística
- 2022

In this work, we propose a three-parameter generalized Lindley distribution using the cubic rank transmutation map approach by Granzotto, Louzada & Balakrishnan (2017). We derive expressions for…

### Cubic Rank Transmuted Lindley Distribution with Applications

- Mathematics
- 2022

In this work, we propose a three-parameter generalized Lindley distribution using the cubic rank transmutation map approach by Granzotto et al. (2017). We derive expressions for several mathematical…

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

- PhysicsInternational Journal of Astronomy and Astrophysics
- 2022

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