Generalized Lindley Probability Distribution Up to Five Parameters

• Author(s): Dr. Malay Sanyal ; Sayantani Ghosh
• Paper ID: 1710219
• Page: 753-763
• Published Date: 25-08-2025
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 9 Issue 2 August-2025

Abstract

In this paper, we extend the Alpha Power Transformed Lindley (APT Lindley) distribution model by introducing an additional parameter. This new model represents a distribution that significantly enhances flexibility to express real-life phenomena. The probability density function, cumulative distribution function, hazard function and survival function are derived and discussed. We also explore characteristics such as moments, moment-generating functions and quantile functions. The maximum likelihood estimation method is employed for parameter estimation of the model. This newly proposed distribution is well-suited for real-world (non-fictional) datasets and reveals interesting properties due to the flexible nature of its hazard function. It presents a promising alternative in statistical and probability theory particularly for applications in health, engineering and economics.

Keywords

Alpha Power Transformed, Lindley distribution, Maximum Likelihood estimators, quantile function

Citations

IRE Journals:
Dr. Malay Sanyal , Sayantani Ghosh "Generalized Lindley Probability Distribution Up to Five Parameters" Iconic Research And Engineering Journals Volume 9 Issue 2 2025 Page 753-763

IEEE:
Dr. Malay Sanyal , Sayantani Ghosh "Generalized Lindley Probability Distribution Up to Five Parameters" Iconic Research And Engineering Journals, 9(2)